Issues

 / 

1982

 / 

April

  

Reviews of topical problems


ABC of instantons

,  a,  a,
a Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

An attempt is made to present an instanton ``calculus'' in a relatively simple form. The physical meaning of instantons is explained by the example of the quantum-mechanical problem of energy levels in a two-humped potential. The nonstandard solution to this problem based on instantons is analyzed, and the reader is acquainted with the main technical elements used in this approach. Instantons in quantum chromodynamics are then considered. The Euclidean formulation of the theory is described. Classical solutions of the field equations (the Belavin–Polyakov--Shvarts--Tyapkin instantons) are obtained explicitly and their properties are studied. The calculation of the instanton density is described and the complete result is given for an arbitrary number of colors. The effects associated with fermion fields are briefly described.

Fulltext pdf (1 MB)
Fulltext is also available at DOI: 10.1070/PU1982v025n04ABEH004533
PACS: 03.70.+k, 11.10.−z, 12.35.Cn (all)
DOI: 10.1070/PU1982v025n04ABEH004533
URL: https://ufn.ru/en/articles/1982/4/a/
Citation: Vainshtein A I, Zakharov V I, Novikov V A, Shifman M A "ABC of instantons" Sov. Phys. Usp. 25 195–215 (1982)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Âàéíøòåéí À È, Çàõàðîâ Â È, Íîâèêîâ Â À, Øèôìàí Ì À «Èíñòàíòîííàÿ àçáóêà» ÓÔÍ 136 553–591 (1982); DOI: 10.3367/UFNr.0136.198204a.0553

Cited by (300) ↓ Similar articles (20)

  1. Luiz F S, Souza J C B et al Fortschritte Der Physik 74 (5) (2026)
  2. Fiechter M R, Laude G, Richardson Je O The Journal of Chemical Physics 164 (12) (2026)
  3. Catinari P G, D’Agnolo R T, Sesma P J. High Energ. Phys. 2026 (4) (2026)
  4. Bittleston R, Costello K Phys. Rev. Lett. 136 (21) (2026)
  5. Davidovich M V, Nefedov I S, Rubi J M J. Phys. D: Appl. Phys. 59 (14) 145301 (2026)
  6. Galakhov D, Morozov A J. High Energ. Phys. 2025 (5) (2025)
  7. Nguyen M, Ünsal M J. High Energ. Phys. 2025 (3) (2025)
  8. Liu W-Ya, Zahed I Phys. Rev. D 112 (9) (2025)
  9. Hirvonen J Phys. Rev. D 111 (11) (2025)
  10. Bogomolov L M, Rodkin M V, Sychev V N Izv., Phys. Solid Earth 61 (2) 195 (2025)
  11. Evslin Ja, Martín-Caro A G, Wereszczyński A J. High Energ. Phys. 2025 (4) (2025)
  12. Cong L, Ji W et al Rev. Mod. Phys. 97 (2) (2025)
  13. Kierkla M, Schicho P et al J. High Energ. Phys. 2025 (7) (2025)
  14. Schorlepp T, Kormann K et al Phys. Rev. E 112 (5) (2025)
  15. Krššák Martin Phys. Rev. Lett. 134 (20) (2025)
  16. Tokić N, Eraković M, Cvitaš Marko T Phys. Chem. Chem. Phys. 27 (14) 6938 (2025)
  17. Galkin A Yu, Kireev V E, Ivanov B A Low Temperature Physics 51 (5) 543 (2025)
  18. Liu W-Ya, Zahed I, Zhao Y Phys. Rev. D 111 (7) (2025)
  19. Alvarenga N M, Cavalcanti E et al Braz J Phys 54 (6) (2024)
  20. Kozin V K, Miserev D et al Phys. Rev. Research 6 (3) (2024)
  21. Bedi R, Gherghetta T et al J. High Energ. Phys. 2024 (6) (2024)
  22. Ai W-Yu, Garbrecht B, Tamarit C Universe 10 (5) 189 (2024)
  23. Bai Ya, Chen T-K J. High Energ. Phys. 2024 (10) (2024)
  24. Varghese S S, Singh K, Kourakis I Fundamental Plasma Physics 10 100048 (2024)
  25. Grafke T, Schäfer T, Vanden‐Eijnden Eric Comm Pure Appl Math 77 (4) 2268 (2024)
  26. Eraković M, Cvitaš Marko T Phys. Chem. Chem. Phys. 26 (17) 12965 (2024)
  27. Liu W-Ya, Shuryak E, Zahed I Phys. Rev. D 110 (5) (2024)
  28. Liu W-Ya, Shuryak E, Zahed I Phys. Rev. D 109 (7) (2024)
  29. Ekstedt A, Gould O, Hirvonen J J. High Energ. Phys. 2023 (12) (2023)
  30. Schorlepp T, Grafke T, Grauer R J Stat Phys 190 (3) (2023)
  31. Abreu P, Aglietta M et al Phys. Rev. D 107 (4) (2023)
  32. Sakthivadivel D A R Communications In Computer And Information Science Vol. Active InferenceA Worked Example of the Bayesian Mechanics of Classical Objects1721 Chapter 21 (2023) p. 298
  33. Dyugaev A M, Grigor’ev P D Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 164 (1) 23 (2023) [Dyugaev A M, Grigoriev P D J. Exp. Theor. Phys. 137 (1) 17 (2023)]
  34. Ryskin M G Eur. Phys. J. C 83 (7) (2023)
  35. Mouhat F, Peria M et al Nat Commun 14 (1) (2023)
  36. Abreu P, Aglietta M et al Phys. Rev. Lett. 130 (6) (2023)
  37. Monin A, Shifman M, Vainshtein A Phys. Rev. D 108 (10) (2023)
  38. Vergeles S N, Nikolaev N N et al Phys. Usp. 66 (02) 109 (2023)
  39. Nader D J, Hernández-González J R et al Physics Letters A 481 129014 (2023)
  40. Deligny O SciPost Phys. Proc. (13) (2023)
  41. Pomoni E, Yan W, Zhang X Commun. Math. Phys. 393 (2) 781 (2022)
  42. Chen Zh, Kobakhidze A Eur. Phys. J. C 82 (7) (2022)
  43. Shen J, Luo D et al Phys. Rev. D 105 (7) (2022)
  44. Poppitz E Symmetry 14 (1) 180 (2022)
  45. Gouttenoire Ya Beyond the Standard Model Cocktail Springer Theses Chapter 2 (2022) p. 9
  46. Bedi R S, Gherghetta T, Pospelov M Phys. Rev. D 106 (1) (2022)
  47. Khoze V  A, Khoze V  V et al Phys. Rev. D 105 (3) (2022)
  48. Teixeira R L R C, Haller A et al Phys. Rev. Research 4 (4) (2022)
  49. Bruce S A Zeitschrift für Naturforschung A 77 (10) 931 (2022)
  50. Ünsal M J. High Energ. Phys. 2021 (11) (2021)
  51. Ermann L, Shepelyansky D L Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (9) (2021)
  52. Gould O, Hirvonen J Phys. Rev. D 104 (9) (2021)
  53. Dvali G Fortschritte Der Physik 69 (1) (2021)
  54. Khoze V V, Milne D L, Spannowsky M Phys. Rev. D 103 (1) (2021)
  55. Eraković M, Cvitaš Marko T Phys. Chem. Chem. Phys. 23 (7) 4240 (2021)
  56. Gherghetta T, Pomarol A J. High Energ. Phys. 2021 (11) (2021)
  57. Schorlepp T, Grafke T, Grauer R J. Phys. A: Math. Theor. 54 (23) 235003 (2021)
  58. König E J, Coleman P, Komijani Ya Phys. Rev. B 104 (11) (2021)
  59. Sahu N, Richardson Je O, Berger R J Comput Chem 42 (4) 210 (2021)
  60. Beyer M, Paul W Universe 7 (6) 166 (2021)
  61. Abel S, Spannowsky M PRX Quantum 2 (1) (2021)
  62. Croon D, Gould O et al J. High Energ. Phys. 2021 (4) (2021)
  63. Svetogorov A E, Loss D, Klinovaja Je Phys. Rev. B 103 (18) (2021)
  64. Hijazi M, Pilaftsis A Nuclear Physics B 956 115034 (2020)
  65. Shifman M Phys. Rev. D 102 (12) (2020)
  66. Anokhina A S Phys. Part. Nuclei 51 (2) 172 (2020)
  67. Bondarenko S Eur. Phys. J. C 80 (5) (2020)
  68. Rennecke F Phys. Rev. Research 2 (3) (2020)
  69. Shulyakovsky R G, Gribowsky A S et al Journal Of The Belarusian State University. Physics (2) 78 (2020)
  70. Svetogorov A E, Loss D, Klinovaja Je Phys. Rev. Research 2 (3) (2020)
  71. Jahr E, Laude G, Richardson Je O The Journal of Chemical Physics 153 (9) (2020)
  72. Eraković M, Cvitaš Marko T The Journal of Chemical Physics 153 (13) (2020)
  73. Gherghetta T, Khoze V V et al J. High Energ. Phys. 2020 (3) (2020)
  74. Pisarski R D, Rennecke F Phys. Rev. D 101 (11) (2020)
  75. Alonso R, Urbano A J. High Energ. Phys. 2019 (2) (2019)
  76. Meisner Ja, Hallmen P P et al The Journal of Chemical Physics 150 (8) (2019)
  77. Sannino F, Skrinjar V Phys. Rev. D 99 (8) (2019)
  78. Hebecker A, Henkenjohann P J. High Energ. Phys. 2019 (9) (2019)
  79. Bezuglov M A, Onishchenko A I Physics Letters B 788 122 (2019)
  80. Anastasopoulos P, Betzios P et al J. High Energ. Phys. 2019 (10) (2019)
  81. Cvitaš Marko T J. Chem. Theory Comput. 14 (3) 1487 (2018)
  82. Gleiser M, Sowinski D Phys. Rev. D 98 (5) (2018)
  83. Svetogorov A E, Taguchi M et al Phys. Rev. B 97 (10) (2018)
  84. Braidotti M Ch, Conti C et al EPL 124 (4) 44001 (2018)
  85. Shiu G, Staessens W J. High Energ. Phys. 2018 (10) (2018)
  86. Hebecker A, Mikhail T, Soler P Front. Astron. Space Sci. 5 (2018)
  87. Losev A, Polyubin I, Rosly A J. High Energ. Phys. 2018 (2) (2018)
  88. Smedarchina Z, Siebrand W, Fernández-Ramos A The Journal of Chemical Physics 148 (10) (2018)
  89. Shevchenko A B Usp. Fiz. Met. 19 (2) 115 (2018)
  90. Richardson Je O International Reviews In Physical Chemistry 37 (2) 171 (2018)
  91. Petrescu A, Türeci H E et al Phys. Rev. B 98 (17) (2018)
  92. Köppe J, Patzold M et al Journal of Mathematical Physics 59 (6) (2018)
  93. Cerdeño D G, Reimitz P et al J. High Energ. Phys. 2018 (4) (2018)
  94. Lee Ju, Yee Ch-H Phys. Rev. B 95 (20) (2017)
  95. Austrich-Olivares J A, Garcia-Chung A, David V J Class. Quantum Grav. 34 (11) 115005 (2017)
  96. Lopez-Ruiz M A, Yepez-Martinez T et al Nuclear Physics A 966 324 (2017)
  97. Pasechnik R, Šumbera Michal Universe 3 (1) 7 (2017)
  98. Escobar-Ruiz M  A, Shuryak E, Turbiner A  V Phys. Rev. D 96 (4) (2017)
  99. Alcala D A, Glick J A, Carr L D Phys. Rev. Lett. 118 (21) (2017)
  100. Dremin I M Uspekhi Fizicheskikh Nauk 187 (04) 353 (2017) [Dremin I M Phys.-Usp. 60 (4) 333 (2017)]
  101. Hebecker A, Mangat P et al J. High Energ. Phys. 2017 (2) (2017)
  102. Bezuglov M  A, Onishchenko A  I Phys. Rev. D 96 (3) (2017)
  103. Cai Y, Cohen T et al Phys. Rev. D 93 (11) (2016)
  104. Isakov S V, Mazzola G et al Phys. Rev. Lett. 117 (18) (2016)
  105. Escobar-Ruiz M  A, Shuryak E, Turbiner A  V Phys. Rev. D 93 (10) (2016)
  106. Rychkov S, Vitale L G Phys. Rev. D 93 (6) (2016)
  107. Richardson Je O, Pérez C et al Science 351 (6279) 1310 (2016)
  108. Qian Ya, Zahed I Annals Of Physics 374 314 (2016)
  109. Mátyus E, Wales D J, Althorpe S C The Journal of Chemical Physics 144 (11) (2016)
  110. Kochelev N Phys. Part. Nuclei Lett. 13 (2) 149 (2016)
  111. Klaczynski L Annals Of Physics 372 397 (2016)
  112. Beyer A N, Richardson Je O et al J. Phys. Chem. Lett. 7 (21) 4374 (2016)
  113. Chen Ch, Burnell F  J Phys. Rev. Lett. 116 (10) (2016)
  114. Denchev V S, Boixo S et al Phys. Rev. X 6 (3) (2016)
  115. Cvitaš Marko T, Althorpe S C J. Chem. Theory Comput. 12 (2) 787 (2016)
  116. Tachikawa Yu Progress of Theoretical and Experimental Physics 2015 (4) (2015)
  117. Long A J, Patel H H, Trodden M Phys. Rev. D 92 (4) (2015)
  118. Escobar-Ruiz M  A, Shuryak E, Turbiner A  V Phys. Rev. D 92 (2) (2015)
  119. Grafke T, Grauer R, Schäfer T J. Phys. A: Math. Theor. 48 (33) 333001 (2015)
  120. Jain A, Sibert E L The Journal of Chemical Physics 142 (8) (2015)
  121. Luschevskaya E V, Larina O V Nuclear Physics B 884 1 (2014)
  122. Luschevskaya E V, Larina O V Jetp Lett. 98 (11) 652 (2014)
  123. Fernández-Ramos A, Smedarchina Z, Siebrand W Phys. Rev. E 90 (3) (2014)
  124. Guts S V, Guts S Teoreticheskaya Matematicheskaya Fizika 180 (1) 72 (2014) [Guts S V Theor Math Phys 180 (1) 815 (2014)]
  125. Qian Ya, Zahed I Phys. Rev. D 90 (11) (2014)
  126. Shevchenko A B, Barabash M Yu Nanoscale Res Lett 9 (1) (2014)
  127. Richardson Je O, Wales D J et al J. Phys. Chem. A 117 (32) 6960 (2013)
  128. Quantum Mechanical Tunneling in Chemical Physics (2013) p. 205
  129. Peterson A J J. Phys. A: Math. Theor. 46 (50) 505402 (2013)
  130. Timashev S F, Solov’eva A B et al Russ. J. Phys. Chem. 87 (1) 153 (2013)
  131. One‐Dimensional Superconductivity in Nanowires 1 (2013) p. 75
  132. Dabrowski R, Dunne G V Phys. Rev. D 88 (2) (2013)
  133. Ioffe B L, Ioffe B L Teor. Mat. Fiz. 170 (2) 165 (2012) [Ioffe B L Theor Math Phys 170 (2) 132 (2012)]
  134. Smedarchina Z, Siebrand W, Fernández-Ramos A The Journal of Chemical Physics 137 (22) (2012)
  135. Keller Ch A, Mekareeya N et al J. High Energ. Phys. 2012 (3) (2012)
  136. Jora R Physics Letters B 713 (3) 289 (2012)
  137. Diakonov D, Tumanov A G, Vladimirov A A Phys. Rev. D 84 (12) (2011)
  138. Richardson Je O, Althorpe S C The Journal of Chemical Physics 134 (5) (2011)
  139. Meisner Ja, Rommel Ju B, Kästner J J Comput Chem 32 (16) 3456 (2011)
  140. Bondar D I, Liu W-K J. Phys. A: Math. Theor. 44 (27) 275301 (2011)
  141. Richardson Je O, Althorpe S C, Wales D J The Journal of Chemical Physics 135 (12) (2011)
  142. Rommel Ju B, Kästner J The Journal of Chemical Physics 134 (18) (2011)
  143. Shevchenko A B, Barabash M Yu Low Temperature Physics 37 (8) 690 (2011)
  144. Dunne G V, Kovner A Phys. Rev. D 82 (6) (2010)
  145. Gaiotto D, Neitzke A, Tachikawa Yu Commun. Math. Phys. 294 (2) 389 (2010)
  146. Danshita I, Polkovnikov A Phys. Rev. B 82 (9) (2010)
  147. Jora R Phys. Rev. D 82 (5) (2010)
  148. Poppitz E, Ünsal M J. High Energy Phys. 2009 (03) 027 (2009)
  149. Ioffe B L Physics Letters B 678 (5) 512 (2009)
  150. Dunne G V, Gies H, Schützhold R Phys. Rev. D 80 (11) (2009)
  151. Kuvshinov V I, Kuzmin A V, Piatrou V A Complex Phenomena in Nanoscale Systems NATO Science For Peace And Security Series B: Physics And Biophysics Chapter 18 (2009) p. 203
  152. Buividovich P V, Chernodub M N et al Phys. Rev. D 80 (5) (2009)
  153. Buividovich P V, Lushchevskaya E V et al Jetp Lett. 90 (6) 412 (2009)
  154. Nakamura H Advances In Chemical Physics Vol. Advances in Chemical PhysicsNonadiabatic Chemical Dynamics: Comprehension and Control of Dynamics, and Manifestation of Molecular Functions138 1 (2008) p. 95
  155. Baryshnikov S V, Baryshnikov A S et al Phys. Solid State 50 (7) 1322 (2008)
  156. Akerblom N Fortschritte Der Physik 56 (11-12) 1065 (2008)
  157. Shulyakovskii R G Phys. Part. Nuclei Lett. 5 (5) 417 (2008)
  158. Galkina E G, Ivanov B A et al Phys. Rev. B 77 (13) (2008)
  159. Arutyunov K Yu, Golubev D S, Zaikin A D Physics Reports 464 (1-2) 1 (2008)
  160. Mil’nikov G, Nakamura H Phys. Chem. Chem. Phys. 10 (10) 1374 (2008)
  161. Parnachev A, Zhitnitsky A R Phys. Rev. D 78 (12) (2008)
  162. Zhitnitsky A R Nuclear Physics A 813 (3-4) 279 (2008)
  163. Ivanov B A, Kireev V E J. Exp. Theor. Phys. 107 (3) 445 (2008)
  164. Galkin A Yu, Ivanov B A J. Exp. Theor. Phys. 104 (5) 775 (2007)
  165. Giuliano D, Sodano P Nuclear Physics B 770 (3) 332 (2007)
  166. Aleksandrov A S, Alexandrov A S i dr Teor. Mat. Fiz. 150 (2) 179 (2007)
  167. Galkina E G, Ivanov B A Low Temperature Physics 33 (5) 451 (2007)
  168. Kovchegov Yu V Nuclear Physics A 764 476 (2006)
  169. Kochelev N, Min D-P Physics Letters B 633 (2-3) 283 (2006)
  170. Bagan E, Lavelle M, McMullan D Physics Letters B 632 (5-6) 652 (2006)
  171. Zhen-Yu Zh, Jue-Ping L Chinese Phys. Lett. 23 (11) 2920 (2006)
  172. Bezrukov F, Burnier Y, Shaposhnikov M Phys. Rev. D 73 (4) (2006)
  173. Khlebnikov S Phys. Rev. A 71 (1) (2005)
  174. Kochelev N, Min D-P Phys. Rev. D 72 (9) (2005)
  175. Zakharov V I Uspekhi Fizicheskikh Nauk 174 (1) 39 (2004)
  176. Ivanov B A, Kulagin N E J. Exp. Theor. Phys. 99 (6) 1291 (2004)
  177. Iroshnikov G S, Sukhanov L P Opt. Spectrosc. 97 (5) 714 (2004)
  178. Tupitsyn I, Barbara B Magnetism: Molecules to Materials 1 (2004) p. 109
  179. Muratore-Ginanneschi P Physics Reports 383 (5-6) 299 (2003)
  180. Aleiner I L, Controzzi D Phys. Rev. B 66 (4) (2002)
  181. Ivanov B A, Kireev V E J. Exp. Theor. Phys. 94 (2) 270 (2002)
  182. Bagan E, Lavelle M et al Phys. Rev. D 65 (10) (2002)
  183. Poppitz E, Shirman Yu J. High Energy Phys. 2002 (07) 041 (2002)
  184. Kharzeev D, Kovchegov Yu V, Levin E Nuclear Physics A 699 (3-4) 745 (2002)
  185. Selivanov K G Uspekhi Fizicheskikh Nauk 172 (7) 729 (2002)
  186. Iroshnikov G S, Sukhanov L P Opt. Spectrosc. 93 (4) 509 (2002)
  187. Marshakov A V Uspekhi Fizicheskikh Nauk 172 (9) 977 (2002)
  188. Golubev D S, Zaikin A D Phys. Rev. B 64 (1) (2001)
  189. Golubev D S, Zaikin A D Lecture Notes In Physics Vol. Interacting Electrons in NanostructuresFluctuations and Superconductivity in One Dimension: Quantum Phase Slips579 Chapter 5 (2001) p. 84
  190. Kharzeev D, Kovchegov Yu V, Levin E Nuclear Physics A 690 (4) 621 (2001)
  191. Rubakov V A Techniques and Concepts of High-Energy Physics Chapter 3 (2001) p. 97
  192. Friedberg R, Lee T D, Zhao W Q Annals Of Physics 288 (1) 52 (2001)
  193. Vandoren S, van Nieuwenhuizen Peter Physics Letters B 499 (3-4) 280 (2001)
  194. Böhm M, Denner A, Joos H Gauge Theories of the Strong and Electroweak Interaction Chapter 2 (2001) p. 85
  195. Belitsky A V, Vandoren S, Nieuwenhuizen P van Class. Quantum Grav. 17 (17) 3521 (2000)
  196. Shabanov S V Physics Reports 326 (1-3) 1 (2000)
  197. Bagan E, Lavelle M, McMullan D Physics Letters B 477 (1-3) 355 (2000)
  198. ZUBKOV A G, DUBASOV O V, KERBIKOV B O Int. J. Mod. Phys. A 14 (02) 241 (1999)
  199. BROWN WILLIAM E, KOGAN IAN I Int. J. Mod. Phys. A 14 (05) 799 (1999)
  200. SHIFMAN M Int. J. Mod. Phys. A 14 (32) 5017 (1999)
  201. Zemskov E P Russ Phys J 42 (1) 47 (1999)
  202. Ivanov B A, Murav’ev V M, Sheka D D J. Exp. Theor. Phys. 89 (3) 583 (1999)
  203. Prokof’ev N, Svistunov B, Tupitsyn I Phys. Rev. Lett. 82 (25) 5092 (1999)
  204. Schäfer T, Shuryak E V Rev. Mod. Phys. 70 (2) 323 (1998)
  205. Smirnov A Yu Annals Of Physics 264 (1) 13 (1998)
  206. Ivanov B A, Kolezhuk A K Frontiers in Magnetism of Reduced Dimension Systems Chapter 12 (1998) p. 279
  207. Lev B I, Zhugaevych A Ya Phys. Rev. E 57 (6) 6460 (1998)
  208. Kuchiev M Yu Class. Quantum Grav. 15 (7) 1895 (1998)
  209. Lavelle M, McMullan D Physics Letters B 436 (3-4) 339 (1998)
  210. Konopleva N P, Konopleva N P i dr Teor. Mat. Fiz. 115 (2) 312 (1998) [Konopleva N P Theor Math Phys 115 (2) 612 (1998)]
  211. Gorokhov D A, Blatter G Phys. Rev. B 57 (6) 3577 (1998)
  212. Dick R Fortschr. Phys. 45 (7) 537 (1997)
  213. Benderskii V A, Vetoshkin E V et al Chemical Physics 219 (2-3) 143 (1997)
  214. Hekking F W J, Glazman L I Phys. Rev. B 55 (10) 6551 (1997)
  215. Moch S, Ringwald A, Schrempp F Nuclear Physics B 507 (1-2) 134 (1997)
  216. Appelquist T, Selipsky S B Physics Letters B 400 (3-4) 364 (1997)
  217. Ito K, Sasakura N Nuclear Physics B 484 (1-2) 141 (1997)
  218. Katsnelson M I, van Schilfgaarde M et al Phys. Rev. A 54 (6) 4802 (1996)
  219. Gonzalez-Arroyo A, Simonov Yu A Nuclear Physics B 460 (3) 429 (1996)
  220. Kuchiev M Yu Phys. Rev. D 53 (12) 6946 (1996)
  221. Simonov Yu A Uspekhi Fizicheskikh Nauk 166 (4) 337 (1996)
  222. Rubakov V A, Shaposhnikov M E Uspekhi Fizicheskikh Nauk 166 (5) 493 (1996)
  223. Lobanov Yu Yu J. Phys. A: Math. Gen. 29 (20) 6653 (1996)
  224. Burdzy K, M{polhk{a}}drecki Andrzej Ann. Appl. Probab. 6 (1) (1996)
  225. Polyakov M V, Weiss C Physics Letters B 387 (4) 841 (1996)
  226. Ito K, Sasakura N Physics Letters B 382 (1-2) 95 (1996)
  227. Hekking F W J, Glazman L I Czech J Phys 46 (S4) 2323 (1996)
  228. Diakonov D I, Polyakov M V, Weiss C Nuclear Physics B 461 (3) 539 (1996)
  229. Koshkarov A L Theor Math Phys 105 (3) 1534 (1995)
  230. Koshkarov A L Theor Math Phys 102 (2) 153 (1995)
  231. Forgacs G, Kotov V Phys. Rev. B 51 (17) 11339 (1995)
  232. Siegel W Phys. Rev. D 52 (2) 1042 (1995)
  233. Benderskii V A, Grebenshchikov S Yu, Mil’nikov G V Chemical Physics 194 (1) 1 (1995)
  234. Benderskii V A, Grebenshchikov S Yu et al Chemical Physics 185 (1) 101 (1994)
  235. Rho M Physics Reports 240 (1-2) 1 (1994)
  236. Sokolov V V, von Brentano P Nuclear Physics A 578 (1-2) 134 (1994)
  237. Advances In Chemical Physics Vol. Advances in Chemical PhysicsReferences88 1 (1994) p. 341
  238. Wöhler Ch F, Shuryak E Physics Letters B 333 (3-4) 467 (1994)
  239. Smilga A V Phys. Rev. D 49 (12) 6836 (1994)
  240. Kuchiev M Yu Europhys. Lett. 28 (8) 539 (1994)
  241. Anselm A A, Johansen A A Nuclear Physics B 412 (3) 553 (1994)
  242. Smilga A V Phys. Rev. D 49 (10) 5480 (1994)
  243. Krebs A B, Rubin S G Phys. Rev. B 49 (17) 11808 (1994)
  244. Maggiore M, Shifman M Phys. Rev. D 47 (8) 3610 (1993)
  245. Fuchs J, Ringwald A Nuclear Physics B 408 (2) 391 (1993)
  246. Ketov S V, Nishino H, Gates S Ja Nuclear Physics B 393 (1-2) 149 (1993)
  247. Benderskii V A, Goldanskii V I, Makarov D E Physics Reports 233 (4-5) 195 (1993)
  248. Mattis M P Physics Reports 214 (3) 159 (1992)
  249. Current Physics–Sources And Comments Vol. Vacuum Structure and QCD Sum RulesMethod Based on the Fock-Schwinger Gauge10 (1992) p. 240
  250. Scripnikov V A, Saiko D S Journal Of Non-Crystalline Solids 146 90 (1992)
  251. IOSELEVICH Alexei S, RASHBA Emmanuel I Modern Problems In Condensed Matter Sciences Vol. Quantum Tunnelling in Condensed MediaTheory of Nonradiative Trapping in Crystals34 (1992) p. 347
  252. Maggiore M, Shifman M Nuclear Physics B 371 (1-2) 177 (1992)
  253. Morozov A Yu Uspekhi Fizicheskikh Nauk 162 (08) 83 (1992)
  254. Benderskii V A, Goldanskii V I International Reviews In Physical Chemistry 11 (1) 1 (1992)
  255. Di Salvo E Nuov Cim A 104 (1) 1 (1991)
  256. Verbaarschot J J M Nuclear Physics B 362 (1-2) 33 (1991)
  257. Current Physics–Sources And Comments Vol. The Standard Model Higgs BosonReferences8 (1991) p. 381
  258. Extremera A Journal Of Computational And Applied Mathematics 37 (1-3) 71 (1991)
  259. Prokhorov L V, Shabanov S V Uspekhi Fizicheskikh Nauk 161 (02) 13 (1991)
  260. Prokhorov L V, Shabanov S V Sov. Phys. Usp. 34 (2) 108 (1991)
  261. Hayn R, John W Nuclear Physics B 348 (3) 766 (1991)
  262. Benderskii V A, Goldanskii V I et al Chemical Physics Letters 179 (4) 334 (1991)
  263. Zhitnitsky A R Nuclear Physics B 340 (1) 56 (1990)
  264. Morozov A Yu, Niemi A J Physics Letters B 236 (1) 44 (1990)
  265. Generalis S C J. Phys. G: Nucl. Part. Phys. 16 (8) L117 (1990)
  266. Hayn R, John W Z. Physik B - Condensed Matter 76 (3) 289 (1989)
  267. Krivoruchko V N Soviet Journal of Low Temperature Physics 14 (8) 464 (1988)
  268. Izyumov Yu A Uspekhi Fizicheskikh Nauk 155 (8) 553 (1988)
  269. Shuryak E V Nuclear Physics B 302 (4) 559 (1988)
  270. Shuryak E V Nuclear Physics B 302 (4) 621 (1988)
  271. Vasenko S A, Likharev K K Soviet Journal of Low Temperature Physics 13 (7) 432 (1987)
  272. Grozin A G, Pinelis Yu F Z. Phys. C - Particles And Fields 33 (3) 419 (1987)
  273. Dyakonov D I, Petrov V Yu Nuclear Physics B 272 (2) 457 (1986)
  274. Petukhov B V Soviet Journal of Low Temperature Physics 12 (7) 425 (1986)
  275. Grozin A G, Pinelis Yu F Physics Letters B 166 (4) 429 (1986)
  276. Ioselevich A S, Rashba E I Journal Of Luminescence 34 (5) 223 (1986)
  277. Konishi K, Ranfone S Physics Letters B 172 (3-4) 417 (1986)
  278. Cordes S F Nuclear Physics B 273 (3-4) 629 (1986)
  279. Radosz A J. Phys. C: Solid State Phys. 19 (2) L31 (1986)
  280. Bag�n E, Latorre J I, Pascual P Z. Phys. C - Particles And Fields 32 (1) 43 (1986)
  281. Radosz A J. Phys. C: Solid State Phys. 18 (9) L189 (1985)
  282. Petry H R, Hofestädt H et al Physics Letters B 159 (4-6) 363 (1985)
  283. Iordansky S V, Korshunov S E J Low Temp Phys 58 (5-6) 425 (1985)
  284. Morris T R, Ross D A, Sachrajda C T Nuclear Physics B 255 115 (1985)
  285. Mil’shtein A I, Pinelis Yu F Z. Phys. C - Particles And Fields 27 (3) 461 (1985)
  286. Broadhust D J, Generalis S C Physics Letters B 165 (1-3) 175 (1985)
  287. Simonov Yu A Physics Letters B 136 (1-2) 105 (1984)
  288. Litvinov V I Solid State Communications 51 (2) 119 (1984)
  289. Belotskii E D, Lev B I Theor Math Phys 60 (1) 711 (1984)
  290. Novikov V A, Shifman M A et al Physics Letters B 139 (5-6) 389 (1984)
  291. Hauknes J Annals Of Physics 156 (2) 303 (1984)
  292. Novikov V A, Shifman M A et al Physics Reports 116 (3) 103 (1984)
  293. Dyakonov D I, Petrov V Yu Nuclear Physics B 245 259 (1984)
  294. Shuryak E V Physics Reports 115 (4-5) 151 (1984)
  295. Novikov V A, Shifman M A et al Fortschr. Phys. 32 (11) 585 (1984)
  296. Vilgis T J. Phys. A: Math. Gen. 17 (11) L591 (1984)
  297. Morozov A Y, Perelomov A M, Shifman M A Nuclear Physics B 248 (2) 279 (1984)
  298. Fradkin E S, Tseytlin A A Physics Letters B 134 (5) 301 (1984)
  299. Dyakonov D I, Petrov V Yu Physics Letters B 147 (4-5) 351 (1984)
  300. Novikov V A, Shifman M A et al Nuclear Physics B 229 (2) 381 (1983)

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions