QCD-like theories at nonzero temperature and density

Journal of High Energy Physics

Volumn 2010, Issue 6, 2010, Pages

  Zhang, Tian ^a   Brauner, Tomáš ^a   Rischke, Dirk H ^a,b  

^a GOETHE UNIVERSITY   (Germany)

^b FRANKFURT INSTITUTE FOR ADVANCED STUDIES   (Germany)

Author keywords

Chiral lagrangians; Confinement; QCD; Spontaneous symmetry breaking

Indexed keywords

EID: 77954991571     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2010)064     Document Type: Article

References (56)

1. M. G. Alford, A. Kapustin and F. Wilczek, Imaginary chemical potential and finite fermion density on the lattice, Phys. Rev. D 59 (1999) 054502 [hep-lat/9807039].
2. D. T. Son and M. A. Stephanov, QCD at finite isospin density, Phys. Rev. Lett. 86 (2001) 592 [hep-ph/0005225].
3. 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].
4. 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].
5. M. E. Peskin, The Alignment of the Vacuum in Theories of Technicolor, Nucl. Phys. B 175 (1980) 197.
6. J. Bijnens and J. Lu, Technicolor and other QCD-like theories at next-to-next-to-leading order, JHEP 11 (2009) 116 [arXiv:0910.5424].
7. L. A. Kondratyuk, M. M. Giannini and M. I. Krivoruchenko, The SU (2) color superconductivity, Phys. Lett. B 269 (1991) 139.
8. C. Ratti and W. Weise, Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model, Phys. Rev. D 70 (2004) 054013 [hep-ph/0406159].
9. G.-f. Sun, L. He and P. Zhuang, BEC-BCS Crossover in the Nambu-Jona-Lasinio Model of QCD, Phys. Rev. D 75 (2007) 096004 [hep-ph/0703159].
10. A#restoration, superfluidity and quarkyonic phase, Phys. Rev. D 80 (2009) 074035 [arXiv:0907.4905].
11. J. O. Andersen and T. Brauner, Phase diagram of two-color quark matter at nonzero baryon and isospin density, Phys. Rev. D 81 (2010) 096004 [arXiv:1001.5168].
12. H. Nishimura and M. C. Ogilvie, A PNJL Model for Adjoint Fermions with Periodic Boundary Conditions, Phys. Rev. D 81 (2010) 014018 [arXiv:0911.2696].
13. A. Mócsy, F. Sannino and K. Tuominen, Confinement versus Chiral Symmetry, Phys. Rev. Lett. 92 (2004) 182302 [hep-ph/0308135].
14. F. Sannino and K. Tuominen, Tetracritical behavior in strongly interacting theories, Phys. Rev. D 70 (2004) 034019 [hep-ph/0403175].
15. A. Gocksch and M. Ogilvie, An effective strong coupling lattice model for finite temperature QCD, Phys. Lett. B 141 (1984) 407.
16. A. Dumitru, Y. Hatta, J. Lenaghan, K. Orginos and R. D. Pisarski, Deconfining phase transition as a matrix model of renormalized Polyakov loops, Phys. Rev. D 70 (2004) 034511 [hep-th/0311223].
17. K. Fukushima and Y. Hidaka, A model study of the sign problem in the mean-field approximation, Phys. Rev. D 75 (2007) 036002 [hep-ph/0610323].
18. K. Fukushima, Relation between the Polyakov loop and the chiral order parameter at strong coupling, Phys. Rev. D 68 (2003) 045004 [hep-ph/0303225].
19. S. Gupta, K. Huebner and O. Kaczmarek, Renormalized Polyakov loops in many representations, Phys. Rev. D 77 (2008) 034503 [arXiv:0711.2251].
20. H. Abuki and K. Fukushima, Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling, Phys. Lett. B 676 (2009) 57 [arXiv:0901.4821].
21. K. Fukushima, Chiral effective model with the Polyakov loop, Phys. Lett. B 591 (2004) 277 [hep-ph/0310121].
22. C. Ratti, M. A. Thaler and W. Weise, Phases of QCD: Lattice thermodynamics and a field theoretical model, Phys. Rev. D 73 (2006) 014019 [hep-ph/0506234].
23. S. Roessner, C. Ratti and W. Weise, Polyakov loop, diquarks and the two-flavour phase diagram, Phys. Rev. D 75 (2007) 034007 [hep-ph/0609281].
24. K. Fukushima, Phase diagrams in the three-flavor Nambu-Jona-Lasinio model with the Polyakov loop, Phys. Rev. D 77 (2008) 114028 [arXiv:0803.3318].
25. E. Megias, E. Ruiz Arriola and L. L. Salcedo, Polyakov loop in chiral quark models at finite temperature, Phys. Rev. D 74 (2006) 065005 [hep-ph/0412308].
26. J. B. Kogut, J. Polonyi, H. W. Wyld and D. K. Sinclair, Hierarchical mass scales in lattice gauge theories with dynamical light fermions, Phys. Rev. Lett. 54 (1985) 1980.
27. F. Karsch and M. Lütgemeier, Deconfinement and chiral symmetry restoration in an SU (3) gauge theory with adjoint fermions, Nucl. Phys. B 550 (1999) 449 [hep-lat/9812023].
28. J. Engels, S. Holtmann and T. Schulze, Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks, Nucl. Phys. B 724 (2005) 357 [hep-lat/0505008].
29. M. Ünsal, Abelian duality, confinement and chiral symmetry breaking in a SU (2) QCD-Like Theory, Phys. Rev. Lett. 100 (2008) 032005 [arXiv:0708.1772].
30. A. Lohwater, Introduction to Inequalities, Online e-book in PDF format, (1982).
31. H. Georgi, Lie Algebras in Particle Physics, second edition Frontiers in Physics, Perseus Books, Reading Massachusetts U. S. A. (1999).
32. S. Hands et al., Numerical study of dense adjoint matter in two color QCD, Eur. Phys. J. C 17 (2000) 285 [hep-lat/0006018].
33. K. Fukushima and K. Iida, Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter, Phys. Rev. D 76 (2007) 054004 [arXiv:0705.0792].
34. K. Splittorff, D. T. Son and M. A. Stephanov, QCD-like Theories at Finite Baryon and Isospin Density, Phys. Rev. D 64 (2001) 016003 [hep-ph/0012274].
35. C. Vafa and E. Witten, Parity Conservation in QCD, Phys. Rev. Lett. 53 (1984) 535.
36. M. Buballa, NJL model analysis of quark matter at large density, Phys. Rept. 407 (2005) 205 [hep-ph/0402234].
37. J. Ambjørn, P. Olesen and C. Peterson, Stochastic Confinement and Dimensional Reduction: (I). Four-Dimensional SU (2) Lattice Gauge Theory, Nucl. Phys. B 240 (1984) 189.
38. L. Del Debbio, M. Faber, J. Greensite and Š. Olejník, Casimir Scaling vs. Abelian Dominance in QCD String Formation, Phys. Rev. D 53 (1996) 5891 [hep-lat/9510028].
39. Y. Schröder, The static potential in QCD to two loops, Phys. Lett. B 447 (1999) 321 [hep-ph/9812205].
40. C. Anzai, Y. Kiyo and Y. Sumino, Violation of Casimir Scaling for Static QCD Potential at Three-loop Order, arXiv:1004.1562.
41. S. Deldar, Static SU (3) potentials for sources in various representations, Phys. Rev. D 62 (2000) 034509 [hep-lat/9911008].
42. G. S. Bali, Casimir scaling of SU (3) static potentials, Phys. Rev. D 62 (2000) 114503 [hep-lat/0006022].
43. C. Piccioni, Casimir scaling in SU (2) lattice gauge theory, Phys. Rev. D 73 (2006) 114509 [hep-lat/0503021].
44. V. I. Shevchenko and Y. A. Simonov, Casimir scaling as a test of QCD vacuum, Phys. Rev. Lett. 85 (2000) 1811 [hep-ph/0001299].
45. P. N. Meisinger, T. R. Miller and M. C. Ogilvie, Phenomenological equations of state for the quark-gluon plasma, Phys. Rev. D 65 (2002) 034009 [hep-ph/0108009].
46. H.-M. Tsai and B. Müller, Phenomenology of the three-flavour PNJL model and thermal strange quark production, J. Phys. G 36 (2009) 075101 [arXiv:0811.2216].
47. R. N. Cahn, Semi-Simple Lie Algebras and Their Representations, Dover Publications, New York U. S. A (2006).
48. S. Hands, S. Kim and J.-I. Skullerud, Deconfinement in dense 2-color QCD, Eur. Phys. J. C 48 (2006) 193 [hep-lat/0604004].
49. S. Hands, S. Kim and J.-I. Skullerud, Quarkyonic Phase in Dense Two Color Matter, Phys. Rev. D 81 (2010) 091502 (R) [arXiv:1001.1682].
50. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, Reading, Massachusetts U. S. A. (1995).
51. c, Nucl. Phys. A 796 (2007) 83 [arXiv:0706.2191].
52. B.-J. Schaefer, J. M. Pawlowski and J. Wambach, The Phase Structure of the Polyakov-Quark-Meson Model, Phys. Rev. D 76 (2007) 074023 [arXiv:0704.3234].
53. H. Abuki, R. Anglani, R. Gatto, G. Nardulli and M. Ruggieri, Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop, Phys. Rev. D 78 (2008) 034034 [arXiv:0805.1509].
54. M. Creutz, On invariant integration over SU (N), J. Math. Phys. 19 (1978) 2043.
55. J. B. Kogut, M. Snow and M. Stone, Mean field and Monte Carlo studies of SU (N) chiral models in three-dimensions, Nucl. Phys. B 200 (1982) 211.
56. P. H. Damgaard, The Free Energy of Higher Representation Sources in Lattice Gauge Theories, Phys. Lett. B 194 (1987) 107.