Orbifold equivalence for finite density QCD and effective field theory

Journal of High Energy Physics

Volumn 2011, Issue 6, 2011, Pages

  Cherman, Aleksey ^a   Tiburzi, Brian C ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

1 N Expansion; Chiral Lagrangians; Lattice Gauge Field Theories; Spontaneous Symmetry Breaking

Indexed keywords

EID: 80053115379     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2011)034     Document Type: Article

References (64)

1. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461 [SPIRES].
2. E. Witten, Baryons in the 1/N expansion, Nucl. Phys. B 160 (1979) 57 [SPIRES].
3. R.F. Dashen and A.V. Manohar, Baryon-pion couplings from large-Nc QCD, Phys. Lett. B 315 (1993) 425 [hep-ph/9307241] [SPIRES].
4. R.F. Dashen, E.E. Jenkins and A.V. Manohar, The 1/Nc expansion for baryons, Phys. Rev. D 49 (1994) 4713 [hep-ph/9310379] [SPIRES].
5. E.E. Jenkins and R.F. Lebed, Baryon mass splittings in the 1/Nc expansion, Phys. Rev. D 52 (1995) 282 [hep-ph/9502227] [SPIRES].
6. A. Cherman, T.D. Cohen and R.F. Lebed, All you need is N: baryon spectroscopy in two large-N limits, Phys. Rev. D 80 (2009) 036002 [arXiv:0906.2400] [SPIRES].
7. R.F. Lebed and R.H. TerBeek, Baryon magnetic moments in alternate 1/Nc expansions, Phys. Rev. D 83 (2011) 016009 [arXiv:1011.3237] [SPIRES].
8. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113
9. [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
10. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
11. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
12. S. Kachru and E. Silverstein, 4d conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 (1998) 4855 [hep-th/9802183] [SPIRES].
13. M. Bershadsky and A. Johansen, Large-N limit of orbifold field theories, Nucl. Phys. B 536 (1998) 141 [hep-th/9803249] [SPIRES].
14. M. Schmaltz, Duality of non-supersymmetric large-N gauge theories, Phys. Rev. D 59 (1999) 105018 [hep-th/9805218] [SPIRES].
15. M.J. Strassler, On methods for extracting exact non-perturbative results in non-supersymmetric gauge theories, hep-th/0104032 [SPIRES].
16. A. Armoni, M. Shifman and G. Veneziano, Exact results in non-supersymmetric large-N orientifold field theories, Nucl. Phys. B 667 (2003) 170 [hep-th/0302163] [SPIRES].
17. P. Kovtun, M. Ünsal and L.G. Yaffe, Necessary and sufficient conditions for non-perturbative equivalences of large-Nc orbifold gauge theories, JHEP 07 (2005) 008 [hep-th/0411177] [SPIRES].
18. P. Kovtun, M. Ünsal and L.G. Yaffe, Non-perturbative equivalences among large-Nc gauge theories with adjoint and bifundamental matter fields, JHEP 12 (2003) 034 [hep-th/0311098] [SPIRES].
19. A. Armoni, M. Shifman and G. Veneziano, From super-Yang-Mills theory to QCD: planar equivalence and its implications, hep-th/0403071 [SPIRES].
20. T. Eguchi and H. Kawai, Reduction of dynamical degrees of freedom in the large-N gauge theory, Phys. Rev. Lett. 48 (1982) 1063 [SPIRES].
21. G. Bhanot, U.M. Heller and H. Neuberger, The quenched Eguchi-Kawai model, Phys. Lett. B 113 (1982) 47 [SPIRES].
22. A. Gonzalez-Arroyo and M. Okawa, The twisted Eguchi-Kawai model: a reduced model for large-N lattice gauge theory, Phys. Rev. D 27 (1983) 2397 [SPIRES].
23. P. Kovtun, M. Ünsal and L.G. Yaffe, Volume independence in large-Nc QCD-like gauge theories, JHEP 06 (2007) 019 [hep-th/0702021] [SPIRES].
24. D. Simic and M. Ünsal, Deconfinement in Yang-Mills theory through toroidal compactification with deformation, arXiv:1010.5515 [SPIRES].
25. R. Narayanan and H. Neuberger, Large-N reduction in continuum, Phys. Rev. Lett. 91 (2003) 081601 [hep-lat/0303023] [SPIRES].
26. A. Cherman, M. Hanada and D. Robles-Llana, Orbifold equivalence and the sign problem at finite baryon density, Phys. Rev. Lett. 106 (2011) 091603 [arXiv:1009.1623] [SPIRES].
27. K. Rajagopal and F. Wilczek, The condensed matter physics of QCD, in At the frontier of particle physics. Handbook of QCD, M. Shifman ed., World Scientific, Singapore (2001) [hep-ph/0011333] [SPIRES].
28. M.G. Alford, A. Schmitt, K. Rajagopal and T. Schafer, Color superconductivity in dense quark matter, Rev. Mod. Phys. 80 (2008) 1455 [arXiv:0709.4635] [SPIRES].
29. E. Shuster and D.T. Son, On finite-density QCD at large-Nc, Nucl. Phys. B 573 (2000) 434 [hep-ph/9905448] [SPIRES].
30. B.-Y. Park, M. Rho, A. Wirzba and I. Zahed, Dense QCD: overhauser or BCS pairing?, Phys. Rev. D 62 (2000) 034015 [hep-ph/9910347] [SPIRES].
31. M.T. Frandsen, C. Kouvaris and F. Sannino, Corrigan-Ramond extension of QCD at nonzero baryon density, Phys. Rev. D 74 (2006) 117503 [hep-ph/0512153] [SPIRES].
32. M.I. Buchoff, A. Cherman and T.D. Cohen, Color superconductivity at large-N: a new hope, Phys. Rev. D 81 (2010) 125021 [arXiv:0910.0470] [SPIRES].
33. L. McLerran and R.D. Pisarski, Phases of cold, dense quarks at large-Nc, Nucl. Phys. A 796 (2007) 83 [arXiv:0706.2191] [SPIRES].
34. G. Torrieri and I. Mishustin, The nuclear liquid-gas phase transition at large-Nc in the Van der Waals approximation, Phys. Rev. C 82 (2010) 055202 [arXiv:1006.2471] [SPIRES].
35. D. Tong, Comments on condensates in non-supersymmetric orbifold field theories, JHEP 03 (2003) 022 [hep-th/0212235] [SPIRES].
36. A. Armoni, A. Gorsky and M. Shifman, Spontaneous Z2 symmetry breaking in the orbifold daughter of N = 1 super-Yang-Mills theory, fractional domain walls and vacuum structure, Phys. Rev. D 72 (2005) 105001 [hep-th/0505022] [SPIRES].
37. P. Kovtun, M. Ünsal and L.G. Yaffe, Can large-Nc equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?, Phys. Rev. D 72 (2005) 105006 [hep-th/0505075] [SPIRES].
38. M. Ünsal and L.G. Yaffe, Center-stabilized Yang-Mills theory: confinement and large-N volume independence, Phys. Rev. D 78 (2008) 065035 [arXiv:0803.0344] [SPIRES].
39. D. Weingarten, Mass inequalities for QCD, Phys. Rev. Lett. 51 (1983) 1830 [SPIRES].
40. S. Nussinov, Baryon meson mass inequality, Phys. Rev. Lett. 51 (1983) 2081 [SPIRES].
41. E. Witten, Some inequalities among hadron masses, Phys. Rev. Lett. 51 (1983) 2351 [SPIRES].
42. J.B. Kogut, M.A. Stephanov and D. Toublan, On two-color QCD with baryon chemical potential, Phys. Lett. B 464 (1999) 183 [hep-ph/9906346] [SPIRES].
43. G.M. Cicuta, Topological expansion for SO(N) and Sp(2N) gauge theories, Nuovo Cim. Lett. 35 (1982) 87 [SPIRES].
44. C. Lovelace, Universality at large-N, Nucl. Phys. B 201 (1982) 333 [SPIRES].
45. G. 't Hooft et al. eds., Recent developments in gauge theories, lectures given at the Cargèse Summer Inst., Aug 26-Sept 8 1979, Plenum Press, New York U.S.A. (1980) [SPIRES].
46. S. Coleman, Aspects of symmetry, Cambridge University Press, Cambridge U.K. (1988).
47. T.D. Cohen, Large-Nc continuum reduction and the thermodynamics of QCD, Phys. Rev. Lett. 93 (2004) 201601 [hep-ph/0407306] [SPIRES].
48. S.R. Coleman and E. Witten, Chiral symmetry breakdown in large-N chromodynamics, Phys. Rev. Lett. 45 (1980) 100 [SPIRES].
49. M.E. Peskin, The alignment of the vacuum in theories of technicolor, Nucl. Phys. B 175 (1980) 197 [SPIRES].
50. J.B. Kogut, M.A. Stephanov, D. Toublan, J.J.M. Verbaarschot and A. Zhitnitsky, QCD-like theories at finite baryon density, Nucl. Phys. B 582 (2000) 477 [hep-ph/0001171] [SPIRES].
51. E. Witten, Large-N chiral dynamics, Ann. Phys. 128 (1980) 363 [SPIRES].
52. R. Kaiser and H. Leutwyler, Large-Nc in chiral perturbation theory, Eur. Phys. J. C 17 (2000) 623 [hep-ph/0007101] [SPIRES].
53. C.W. Bernard, T. Draper, A. Soni, H.D. Politzer and M.B. Wise, Application of chiral perturbation theory to K → 2π decays, Phys. Rev. D 32 (1985) 2343 [SPIRES].
54. 2) for lattice QCD, Phys. Rev. D 70 (2004) 034508 [hep-lat/0306021] [SPIRES].
55. 2) in chiral perturbation theory, Nucl. Phys. A 761 (2005) 232 [hep-lat/0501020] [SPIRES].
56. C. Vafa and E. Witten, Restrictions on symmetry breaking in vector-like gauge theories, Nucl. Phys. B 234 (1984) 173 [SPIRES].
57. D.T. Son and M.A. Stephanov, QCD at finite isospin density, Phys. Rev. Lett. 86 (2001) 592 [hep-ph/0005225] [SPIRES].
58. C. Vafa and E. Witten, Parity conservation in QCD, Phys. Rev. Lett. 53 (1984) 535 [SPIRES].
59. R. Aloisio, V. Azcoiti, G. Di Carlo, A. Galante and A.F. Grillo, Probability distribution function of the diquark condensate in two colours QCD, Nucl. Phys. B 606 (2001) 322 [hep-lat/0011079] [SPIRES].
60. S. Aoki, New phase structure for lattice QCD with Wilson fermions, Phys. Rev. D 30 (1984) 2653 [SPIRES].
61. S.R. Sharpe and R.L. Singleton Jr., Spontaneous flavor and parity breaking with Wilson fermions, Phys. Rev. D 58 (1998) 074501 [hep-lat/9804028] [SPIRES].
62. S. Morrison and S. Hands, Two colours QCD at nonzero chemical potential, hep-lat/9902012 [SPIRES].
63. S. Hands and S. Morrison, Diquark condensation in dense matter: a lattice perspective, hep-lat/9905021 [SPIRES].
64. T. Banks and A. Casher, Chiral symmetry breaking in confining theories, Nucl. Phys. B 169 (1980) 103 [SPIRES].