Superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality

Physical Review D

Volumn 63, Issue 7, 2001, Pages

  Iida, Kei ^a,b   Baym, Gordon ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; COLOR; CONDUCTANCE; LIQUID; MAGNETISM; MATHEMATICAL COMPUTING; MOLECULAR INTERACTION; PHASE TRANSITION; TEMPERATURE; THEORY;

EID: 4043114301     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.074018     Document Type: Article

References (58)

1. B.C. Barrois, Nucl. Phys. B129, 390 (1977).
2. D. Bailin and A. Love, Phys. Rep. 107, 325 (1984).
3. D.H. Rischke and R.D. Pisarski, in Proceedings, Fifth Workshop on QCD, Villefranche-sur-Mer, France, 2000, nucl-th/0004016.
4. M. Alford, J.A. Bowers, and K. Rajagopal, in Proceedings, Physics of Neutron Star Interiors, Trento, Italy, 2000, hep-ph/0009357.
5. See, e.g., A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975);
6. P.W. Anderson and W.F. Brinkman, in The Physics of Liquid and Solid Helium, Pan II, edited by K.H. Bennemann and J.B. Ketterson (Wiley, New York, 1978), p. 177.
7. F. Wilczek, Nucl. Phys. A663, 257c (2000).
8. K. Rajagopal, Nucl. Phys. A661, 150c (1999).
9. B. Vanderheyden and A.D. Jackson, Phys. Rev. D 62, 094010 (2000).
10. P.W. Anderson and W.F. Brinkman, Phys. Rev. Lett. 30, 1108 (1973).
11. N.D. Mermin and C. Stare, Phys. Rev. Lett. 30, 1135 (1973).
12. T. Schäfer, Nucl. Phys. B575, 269 (2000).
13. N. Evans, J. Hormuzdiar, S.D.H. Hsu, and M. Schweiz, Nucl. Phys. B581, 391 (2000).
14. K. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998);
15. R. Rapp, T. Schäfer, E. Shuryak, and M. Velkovsky, Phys. Rev. Lett. 81, 53 (1998).
16. N. Evans, S.D.H. Hsu, and M. Schweiz, Nucl. Phys. B551, 275 (1999);
17. Phys. Lett. B 449, 281 (1999);
18. T. Schäfer and F. Wilczek, Phys. Lett. B ibid. 450, 325 (1999).
19. M. Alford, K. Rajagopal, and F. Wilczek, Nucl. Phys. B537, 443 (1999).
20. G. Baym, H. Monien, C.J. Pethick, and D.O. Ravenhall, Phys. Rev. Letl. 64, 1867 (1990).
21. H.A. Weldon, Phys. Rev. D 26, 1394 (1982).
22. D.T. Son, Phys. Rev. D 59, 094019 (1999).
23. R.D. Pisarski and D.H. Rischke, Phys. Rev. D 60, 094013 (1999).
24. R.D. Pisarski and D.H. Rischke, Phys. Rev. D 61, 074017 (2000).
25. B.A. Freedman and L.D. McLerran, Phys. Rev. D 16, 1130 (1977);
26. B.A. Freedman and L.D. McLerran, Phys. Rev. D 16, 1169(1977).
27. Y. Nambu, Phys. Rev. 117, 648 (1960).
28. G.M. Eliashberg, Zh. Éksp. Teor. Fiz. 38, 966 (1960)
29. [Sov. Phys. JETP 11, 696 (1960)].
30. P.P. Bedaque, hep-ph/9910247.
31. H. Heiselberg and V.R. Pandharipande, Annu. Rev. Nucl. Part. Sci. 50, 481 (2000).
32. See, e.g., D. Blaschke, T. Klähn, and D.N. Voskresensky, Astrophys. J. 533, 406 (2000);
33. M. Alford, J. Berges, and K. Rajagopal, Nucl. Phys. B571, 269 (2000).
34. K. lida and G. Baym (unpublished).
35. M. Iwasaki and T. Iwado, Phys. Lett. B 350, 163 (1995);
36. Prog. Theor. Phys. 94, 1073 (1995).
37. Note that the convention for A here differs from the usual condensed matter convention, A(i/r}.
38. R.D. Pisarski and D.H. Rischke, Phys. Rev. Lett. 83, 37 (1999).
39. M. Stephanov, K. RajagopaCand E. Shuryak, Phys. Rev. Lett. 81, 4816 (1998).
40. T. Schäfer and F. Wilczek, Phys. Rev. D 60, 114033 (1999).
41. D.K. Hong, V.A. Miransky, I.A. Shovkovy, and L.C.R. Wijewardhana, Phys. Rev. D 61, 056001 (2000).
42. D.H. Rischke, Phys. Rev. D 62, 034007 (2000);
43. D.H. Rischke, Phys. Rev. D 62, 054017 (2000).
44. F,T=0)|.
45. W.E. Brown, J.T. Liu, and H.-C. Ren, Phys. Rev. D 61, 114012 (2000);
46. W.E. Brown, J.T. Liu, and H.-C. Ren, Phys. Rev. D 62, 054016 (2000).
47. Note that at fixed chemical potential, the number of the quarks in a superfluid is larger than in a normal degenerate fluid, leading to smaller chemical potential for a color with a larger gap in a color-singlet quark superfluid.
48. P. Fulde and R.A. Ferrell, Phys. Rev. 135, A550 (1964);
49. A.I. Larkin and Yu.N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 47, 1136 (1964)
50. [Sov. Phys. JETP 20, 762 (1965)].
51. M. Alford, J. Berges, and K. Rajagopal, Nucl. Phys. B558, 219 (1999);
52. T. Schäfer and F. Wilczek, Phys. Rev. D 60, 074014 (1999).
53. H. Heiselberg, hep-ph/9912419.
54. L. P. Kadanoff and P. C. Martin, Phys. Rev. 124, 670 (1961);
55. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, Menlo Park, 1962);
56. A. A. Abrikosov, L. P. Gorkov, L. D. Landau, and I. M. Khalatnikov (unpublished),
57. referred to in L. P. Gorkov and T. K. Melik-Barkhudarov, Zh. Éksp. Teor. Fiz. 40, 1452 (1961)
58. [Sov. Phys. JETP 13, 1018 (1961)].