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Conferences and Symposia. 100th anniversary of the birth of I.Ya. Pomeranchuk


Limit cycles in renormalization group dynamics

 a,  a, b
a Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

This review discusses the concept of limit cycles in renormalization group flows. Examples from quantum mechanics and field theory are presented.

Fulltext pdf (587 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0184.201402g.0182
PACS: 11.10.Hi, 11.25.Uv, 12.60.Jv (all)
DOI: 10.3367/UFNe.0184.201402g.0182
URL: https://ufn.ru/en/articles/2014/2/g/
000336162000007
2-s2.0-84900826869
2014PhyU...57..171B
Citation: Bulycheva K M, Gorskii A S "Limit cycles in renormalization group dynamics" Phys. Usp. 57 171–182 (2014)
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Received: 17th, December 2013, 5th, June 2013

Îðèãèíàë: Áóëû÷åâà Ê Ì, Ãîðñêèé À Ñ «Ïðåäåëüíûå öèêëû â ðåíîðìãðóïïîâîé äèíàìèêå» ÓÔÍ 184 182–193 (2014); DOI: 10.3367/UFNr.0184.201402g.0182

References (50) ↓ Cited by (20) Similar articles (8)

  1. Glazek S D, Wilson K G Phys. Rev. Lett. 89 230401 (2002); Glazek S D, Wilson K G hep-th/0203088
  2. LeClair A, Román J M, Sierra G Phys. Rev. B 69 020505(R) (2004); LeClair A, Román J M, Sierra G cond-mat/0211338
  3. Braaten E, Hammer H-W Phys. Rep. 428 259 (2006); Braaten E, Hammer H-W cond-mat/0410417
  4. Bawin M, Coon S A Phys. Rev. A 67 042712 (2003); Bawin M, Coon S A quant-ph/0302199
  5. Braaten E, Phillips D Phys. Rev. A 70 052111 (2004); Braaten E, Phillips D hep-th/0403168
  6. Beane S R et al. Phys. Rev. A 64 042103 (2001); Beane S R et al. quant-ph/0010073
  7. LeClair A, Román J M, Sierra G Nucl. Phys. B 675 584 (2003); LeClair A, Román J M, Sierra G hep-th/0301042
  8. Kaplan D B et al. Phys. Rev. D 80 125005 (2009); Kaplan D B et al. arXiv:0905.4752
  9. Gorsky A arXiv:1202.4306
  10. Añaños G N J et al. Phys. Rev. D 67 045018 (2003); Añaños G N J et al. hep-th/0205191
  11. Camblong H E, Ordóñez C R Phys. Lett. A 345 22 (2005); Camblong H E, Ordóñez C R hep-th/0305035
  12. Moroz S, Schmidt R Ann. Physics 325 491 (2010); Moroz S, Schmidt R arXiv:0909.3477
  13. Añaños G N J, Camblong H E, Ordóñez C R Phys. Rev. D 68 025006 (2003); Añaños G N J, Camblong H E, Ordóñez C R hep-th/0302197
  14. Efimov V Phys. Lett. B 33 563 (1970)
  15. Efimov V Nucl. Phys. A 210 157 (1973)
  16. Hammer H-W, Platter L Phil. Trans. R. Soc. Lond. A 369 2679 (2011); Hammer H-W, Platter L arXiv:1102.3789
  17. Brézin E, Zinn-Justin J Phys. Lett. B 288 54 (1992); Brézin E, Zinn-Justin J hep-th/9206035
  18. Anfossi A, LeClair A, Sierra G J. Stat. Mech. P05011 (2005); Anfossi A, LeClair A, Sierra G cond-mat/0503014
  19. Jensen K et al. Phys. Rev. Lett. 105 041601 (2010); Jensen K et al. arXiv:1002.3159
  20. Miransky V A Nuovo Cimento A 90 149 (1985)
  21. Gusynin V P, Miransky V A, Shovkovy I A Phys. Rev. Lett. 73 3499 (1994); Gusynin V P, Miransky V A, Shovkovy I A Phys. Rev. Lett. 76 1005 (1996), Erratum; Gusynin V P, Miransky V A, Shovkovy I A hep-ph/9405262
  22. Areán D et al. JHEP (11) 068 (2013); Areán D et al. arXiv:1309.2286
  23. Gorsky A, Popov F arXiv:1312.7399
  24. Shytov A V, Katsnelson M I, Levitov L S Phys. Rev. Lett. 99 236801 (2007); Shytov A V, Katsnelson M I, Levitov L S arXiv:0705.4663
  25. Pereira V M, Kotov V N, Castro Neto A H Phys. Rev. B 78 085101 (2008); Pereira V M, Kotov V N, Castro Neto A H arXiv:0803.4195
  26. Fogler M M, Novikov D S, Shklovskii B I Phys. Rev. B 76 233402 (2007); Fogler M M, Novikov D S, Shklovskii B I arXiv:0707.1023
  27. Wang Y et al. Nature Phys. 8 653 (2012)
  28. Wang Y et al. Science 340 734 (2013)
  29. Shytov A V, Katsnelson M I, Levitov L S Phys. Rev. Lett. 99 246802 (2007); Shytov A V, Katsnelson M I, Levitov L S arXiv:0708.0837
  30. Pomeranchuk I, Smorodinsky J J. Phys. USSR 9 97 (1945)
  31. Zel’dovich Ya B, Popov V S Usp. Fiz. Nauk 105 403 (1971); Zeldovich Ya B, Popov V S Sov. Phys. Usp. 14 673 (1972)
  32. Richardson R W Phys. Lett. 3 277 (1963)
  33. Cambiaggio M C, Rivas A M F, Saraceno M Nucl. Phys. A 624 157 (1997); Cambiaggio M C, Rivas A M F, Saraceno M nucl-th/9708031
  34. Sierra G Nucl. Phys. B 572 517 (2000); Sierra G hep-th/9911078
  35. Asorey M, Falceto F, Sierra G Nucl. Phys. B 622 593 (2002); Asorey M, Falceto F, Sierra G hep-th/0110266
  36. Dunning C, Links J Nucl. Phys. B 702 481 (2004); Dunning C, Links J cond-mat/0406234
  37. Gaiotto D, Koroteev P JHEP (05) 126 (2013); Gaiotto D, Koroteev P arXiv:1304.0779
  38. Adams M R, Harnad J, Hurtubise J Lett. Math. Phys. 20 299 (1990)
  39. Mukhin E, Tarasov V, Varchenko A Adv. Math. 218 216 (2008)
  40. Gorsky A, Zabrodin A, Zotov A arXiv:1310.6958
  41. Veselov A P Teor. Mat. Fiz. 98 524 (1994); Veselov A P Theor. Math. Phys. 98 368 (1994)
  42. Nekrasov N A, Shatashvili S L Nucl. Phys. B Proc. Suppl. 192 - 193 91 (2009); Nekrasov N A, Shatashvili S L arXiv:0901.4744
  43. Nekrasov N A, Shatashvili S L arXiv:0908.4052
  44. Gorsky A, Mironov A hep-th/0011197
  45. Nekrasov N A Adv. Theor. Math. Phys. 7 831 (2004); Nekrasov N A hep-th/0206161
  46. Dorey N, Hollowood T J, Lee S arXiv:1103.5726
  47. Dorey N JHEP (11) 005 (1998); Dorey N hep-th/9806056
  48. Giveon A, Kutasov D Rev. Mod. Phys. 71 983 (1999); Giveon A, Kutasov D hep-th/9802067
  49. Bulycheva K, Gorsky A arXiv:1310.7361
  50. Poppitz E, Ünsal M JHEP (07) 082 (2011); Poppitz E, Ünsal M arXiv:1105.3969
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