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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.

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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)
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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

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

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