Inhomogeneity driven by Higgs instability in a gapless superconductor

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 75, Issue 1, 2007, Pages

  Giannakis, Ioannis ^a   Hou, Defu ^b   Huang, Mei ^c   Ren, Hai Cang ^a,b  

^a ROCKEFELLER UNIVERSITY   (United States)

^b CENTRAL CHINA NORMAL UNIVERSITY   (China)

^c INSTITUTE OF HIGH ENERGY PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846459386     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.014015     Document Type: Article

References (88)

1. S.C. Frautschi, Proceedings of the Workshop on Hadronic Matter at Extreme Energy Density, edited by, N. Cabibbo, (Erice, Italy, 1978);
2. F. Barrois, Nucl. Phys. NUPBBO 0550-3213 B129, 390 (1977); 10.1016/0550-3213(77)90123-7
3. D. Bailin and A. Love, Phys. Rep. 107, 325 (1984). PRPLCM 0370-1573 10.1016/0370-1573(84)90145-5
4. R. Rapp, T. Schäfer, E.V. Shuryak, and M. Velkovsky, Phys. Rev. Lett. 81, 53 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.53
5. M. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00051-3
6. K. Rajagopal and F. Wilczek, hep-ph/0011333;
7. D.K. Hong, Acta Phys. Pol. B APOBBB 0587-4254 32, 1253 (2001) [hep-ph/0101025];
8. M. Alford, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 51, 131 (2001); 10.1146/annurev.nucl.51.101701.132449
9. T. Schäfer, hep-ph/0304281;
10. D.H. Rischke, Prog. Part. Nucl. Phys. 52, 197 (2004); PPNPDB 0146-6410 10.1016/j.ppnp.2003.09.002
11. M. Buballa, Phys. Rep. PRPLCM 0370-1573 407, 205 (2005); 10.1016/j.physrep.2004.11.004
12. H.-C. Ren, hep-ph/0404074;
13. M. Huang, Int. J. Mod. Phys. E 14, 675 (2005); IMPEER 0218-3013 10.1142/S0218301305003491
14. I.A. Shovkovy, Found. Phys. 35, 1309 (2005). FNDPA4 0015-9018 10.1007/s10701-005-6440-x
15. M. Alford and K. Rajagopal, J. High Energy Phys. JHEPFG 1029-8479 06 (2002) 031; 10.1088/1126-6708/2002/06/031
16. A.W. Steiner, S. Reddy, and M. Prakash, Phys. Rev. D 66, 094007 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.094007
17. M. Huang, P.F. Zhuang, and W.Q. Chao, Phys. Rev. D 67, 065015 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.065015
18. I. Shovkovy and M. Huang, Phys. Lett. B 564, 205 (2003); PYLBAJ 0370-2693 10.1016/S0370-2693(03)00748-2
19. M. Huang and I. Shovkovy, Nucl. Phys. A729, 835 (2003). NUPABL 0375-9474 10.1016/j.nuclphysa.2003.10.005
20. M. Alford, C. Kouvaris, and K. Rajagopal, Phys. Rev. Lett. 92, 222001 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.222001
21. M. Alford C. Kouvaris K. Rajagopal Phys. Rev. D 71, 054009 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.054009
22. M. Huang and I.A. Shovkovy, Phys. Rev. D 70, 051501 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.051501
23. M. Huang I.A. Shovkovy Phys. Rev. D 70, 094030 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.094030
24. R. Casalbuoni, R. Gatto, M. Mannarelli, G. Nardulli, and M. Ruggieri, Phys. Lett. B 605, 362 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2004.11.045
25. G. Sarma, J. Phys. Chem. Solids 24, 1029 (1963). JPCSAW 0022-3697 10.1016/0022-3697(63)90007-6
26. P. Fulde and R.A. Ferrell, Phys. Rev. 135, A550 (1964); PHRVAO 0031-899X 10.1103/PhysRev.135.A550
27. A.I. Larkin and Yu.N. Ovchinnikov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 47, 1136 (1964)
28. [A.I. Larkin Yu.N. Ovchinnikov Sov. Phys. JETP 20, 762 (1965)]. SPHJAR 0038-5646
29. H. Muther and A. Sedrakian, Phys. Rev. C 67, 015802 (2003); PRVCAN 0556-2813 10.1103/PhysRevC.67.015802
30. A. Sedrakian and J.W. Clark, nucl-th/0607028.
31. W.V. Liu and F. Wilczek, Phys. Rev. Lett. 90, 047002 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.047002
32. E. Gubankova, W.V. Liu, and F. Wilczek, Phys. Rev. Lett. 91, 032001 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.032001
33. S.-T. Wu and S. Yip, Phys. Rev. A 67, 053603 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.053603
34. J. Singleton, J.A. Symington, M.-S. Nam, A. Ardavan, M. Kurmoo, and P. Day, J. Phys. Condens. Matter JCOMEL 0953-8984 12, L641 (2000); 10.1088/0953-8984/12/40/102
35. S. Manalo and U. Klein, J. Phys. Condens. Matter JCOMEL 0953-8984 12, L471 (2000); 10.1088/0953-8984/12/28/104
36. M.A. Tanatar, T. Ishiguro, H. Tanaka, and H. Kobayashi, Phys. Rev. B PRBMDO 0163-1829 66, 134503 (2002); 10.1103/PhysRevB.66.134503
37. J.L. O'Brien, H. Nakagawa, A.S. Dzurak, R.G. Clark, B.E. Kane, N.E. Lumpkin, R.P. Starrett, N. Muira, E.E. Mitchell, J.D. Goettee, D.G. Rickel, and J.S. Brooks, Phys. Rev. B PRBMDO 0163-1829 61, 1584 (2000); 10.1103/PhysRevB.61. 1584
38. H.A. Radovan, N.A. Fortune, T.P. Murphy, S.T. Hannahs, E.C. Palm, S.W. Tozer, and D. Hall, Nature (London) NATUAS 0028-0836 425, 51 (2003); 10.1038/nature01842
39. A. Bianchi, R. Movshovich, C. Capan, P.G. Pagliuso, and J.L. Sarrao, Phys. Rev. Lett. 91, 187004 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91. 187004
40. K. Yang, cond-mat/0603190.
41. D.T. Son and M.A. Stephanov, Phys. Rev. A PLRAAN 1050-2947 74, 013614 (2006); 10.1103/PhysRevA.74.013614
42. L. He, M. Jin, and P. Zhuang, Phys. Rev. B PRBMDO 0163-1829 73, 214527 (2006); 10.1103/PhysRevB.73.214527
43. H. Hu and X.J. Liu, cond-mat/0603332;
44. C.-H. Pao and S.-K. Yip, cond-mat/0604530.
45. M.W. Zwierlein, A. Schirotzek, C.H. Schunck, and W. Ketterle, Science 311, 492 (2006); SCIEAS 0036-8075 10.1126/science.1122318
46. G.B. Partridge, W. Li, R.I. Kamar, Y. Liao, and R.G. Hulet, cond-mat/0511752;
47. M.W. Zwierlein, C.H. Schunck, A. Schirotzek, and W. Ketterle, Nature (London) NATUAS 0028-0836 442, 54 (2006); 10.1038/nature04936
48. Y. Shin, M.W. Zwierlein, C.H. Schunck, A. Schirotzek, and W. Ketterle, Phys. Rev. Lett. 97, 030401 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97. 030401
49. M.W. Zwierlein and W. Ketterle, cond-mat/0603489.
50. M.G. Alford, J.A. Bowers, and K. Rajagopal, Phys. Rev. D 63, 074016 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.074016
51. D.K. Hong and Y.J. Sohn, hep-ph/0107003;
52. I. Giannakis, J.T. Liu, and H.c. Ren, Phys. Rev. D 66, 031501 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.031501
53. R. Casalbuoni and G. Nardulli, Rev. Mod. Phys. 76, 263 (2004); RMPHAT 0034-6861 10.1103/RevModPhys.76.263
54. J.A. Bowers, hep-ph/0305301;
55. K. Rajagopal and R. Sharma, hep-ph/0605316.
56. I. Giannakis and H.C. Ren, Phys. Lett. B 611, 137 (2005); PYLBAJ 0370-2693 10.1016/j.physletb.2005.02.020
57. I. Giannakis H.C. Ren Nucl. Phys. NUPBBO 0550-3213 B723, 255 (2005); 10.1016/j.nuclphysb.2005.06.008
58. I. Giannakis, D.F. Hou, and H.C. Ren, Phys. Lett. B 631, 16 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.10.001
59. D.K. Hong, hep-ph/0506097.
60. Mei Huang, Int. J. Mod. Phys. A 21, 910 (2006); IMPAEF 0217-751X 10.1142/S0217751X06032290
61. Mei Huang, Phys. Rev. D 73, 045007 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.045007
62. E.V. Gorbar, M. Hashimoto, and V.A. Miransky, Phys. Lett. B 632, 305 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2005.10.063
63. M. Hashimoto, Phys. Lett. B PYLBAJ 0370-2693 642, 93 (2006).
64. A. Kryjevski, hep-ph/0508180;
65. T. Schafer, Phys. Rev. Lett. 96, 012305 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.012305
66. A. Gerhold and T. Schafer, Phys. Rev. D PRVDAQ 0556-2821 73, 125022 (2006). 10.1103/PhysRevD.73.125022
67. C.H. Pao, Shin-Tza Wu, and S.-K. Yip, cond-mat/0506437.
68. K. Iida and K. Fukushima, Phys. Rev. D PRVDAQ 0556-2821 74, 074020 (2006). 10.1103/PhysRevD.74.074020
69. I. Giannakis, Defu Hou, Mei Huang, and Hai-cang Ren, Phys. Rev. D PRVDAQ 0556-2821, this issue, 75 011501 (2007) [hep-ph/0606178].
70. M.G. Alford, K. Rajagopal, S. Reddy, and F. Wilczek, Phys. Rev. D 64, 074017 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.074017
71. F. Neumann, M. Buballa, and M. Oertel, Nucl. Phys. A714, 481 (2003); NUPABL 0375-9474 10.1016/S0375-9474(02)01371-4
72. H. Grigorian, D. Blaschke, and D.N. Aguilera, Phys. Rev. C 69, 065802 (2004); PRVCAN 0556-2813 10.1103/PhysRevC.69.065802
73. S. Reddy and G. Rupak, Phys. Rev. C 71, 025201 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.71.025201
74. H. Kleinert, cond-mat/9503030;
75. M. Franz and Z. Tesanovic, Phys. Rev. Lett. 87, 257003 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.257003
76. M. Franz, Z. Tesanovic, and O. Vafek, Phys. Rev. B PRBMDO 0163-1829 66, 054535 (2002); 10.1103/PhysRevB.66.054535
77. A. Melikyan and Z. Tesanovic, Phys. Rev. B PRBMDO 0163-1829 71, 214511 (2005). 10.1103/PhysRevB.71.214511
78. R. Casalbuoni, Z. Duan, and F. Sannino, Phys. Rev. D 62, 094004 (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.62.094004
79. V.A. Miransky, I.A. Shovkovy, and L.C.R. Wijewardhana, Phys. Rev. D 64, 096002 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.096002
80. D.H. Rischke and I.A. Shovkovy, Phys. Rev. D 66, 054019 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.054019
81. I. Giannakis, D. Hou, M. Huang, and H.c. Ren, cond-mat/0603263.
82. S.R. Coleman and E. Weinberg, Phys. Rev. D 7, 1888 (1973); PRVDAQ 0556-2821 10.1103/PhysRevD.7.1888
83. S.R. Coleman, Phys. Rev. D 15, 2929 (1977); PRVDAQ 0556-2821 10.1103/PhysRevD.15.2929
84. S.R. Coleman Phys. Rev. D 16, 1248(E) (1977). PRVDAQ 0556-2821 10.1103/PhysRevD.16.1248
85. E.J. Weinberg and A. Wu, Phys. Rev. D 36, 2474 (1987). PRVDAQ 0556-2821 10.1103/PhysRevD.36.2474
86. I. Shovkovy (private communication).
87. I. Shovkovy, M. Hanauske, and M. Huang, Phys. Rev. D 67, 103004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.103004
88. M. Alford and Q. Wang, J. Phys. G JPGPED 0954-3899 31, 719 (2005). 10.1088/0954-3899/31/7/017