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Role of two-flavor color superconductor pairing in a three-flavor Nambu–Jona-Lasinio model with axial anomaly

H. Basler and M. Buballa

Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

Phys. Rev. D 82, 094004 – Published 10 November, 2010

DOI: https://doi.org/10.1103/PhysRevD.82.094004

Abstract

The phase diagram of strongly interacting matter is studied within a three-flavor Nambu–Jona-Lasinio model, which contains the coupling between chiral and diquark condensates through the axial anomaly. Our results show that it is essential to include the two-flavor color superconducting (2SC) phase in the analysis. While this is expected for realistic strange-quark masses, we find that even for equal up, down, and strange bare quark masses 2SC pairing can be favored due to spontaneous flavor symmetry breaking by the axial anomaly. This can lead to a rich phase structure, including BCS- and Bose-Einstein condensate-like 2SC and color-flavor locked phases and new endpoints. On the other hand, the low-temperature critical endpoint, which was found earlier in the same model without 2SC pairing, is almost removed from the phase diagram and cannot be reached from the low-density chirally broken phase without crossing a preceding first-order phase boundary. For physical quark masses no additional critical endpoint is found.

Article Text

References (47)

P. Braun-Munzinger and J. Stachel, Nature (London) 448, 302 (2007).
M. Cheng et al., Phys. Rev. D 81, 054510 (2010).
Y. Aoki, S. Borsanyi, S. Durr, Z. Fodor, S. D. Katz, S. Krieg, and K. K. Szabo, J. High Energy Phys. 06 (2009) 088.
Y. Aoki, G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, Nature (London) 443, 675 (2006).
K. Rajagopal and F. Wilczek, arXiv:hep-ph/0011333.
M. G. Alford, Annu. Rev. Nucl. Part. Sci. 51, 131 (2001).
T. Schäfer, arXiv:hep-ph/0304281.
D. H. Rischke, Prog. Part. Nucl. Phys. 52, 197 (2004).
M. Buballa, Phys. Rep. 407, 205 (2005).
I. A. Shovkovy, Found. Phys. 35, 1309 (2005).
M. G. Alford, A. Schmitt, K. Rajagopal, and T. Schäfer, Rev. Mod. Phys. 80, 1455 (2008).
D. T. Son, Phys. Rev. D 59, 094019 (1999).
T. Schäfer and F. Wilczek, Phys. Rev. D 60, 114033 (1999).
I. A. Shovkovy and L. C. R. Wijewardhana, Phys. Lett. B 470, 189 (1999).
T. Schäfer, Nucl. Phys. B575, 269 (2000).
M. Asakawa and K. Yazaki, Nucl. Phys. A504, 668 (1989).
J. Berges and K. Rajagopal, Nucl. Phys. B538, 215 (1999).
M. A. Stephanov, K. Rajagopal, and E. V. Shuryak, Phys. Rev. Lett. 81, 4816 (1998).
M. Kitazawa, T. Koide, T. Kunihiro, and Y. Nemoto, Prog. Theor. Phys. 108, 929 (2002).
Z. Zhang, K. Fukushima, and T. Kunihiro, Phys. Rev. D 79, 014004 (2009).
Z. Zhang and T. Kunihiro, Phys. Rev. D 80, 014015 (2009).
T. Hatsuda, M. Tachibana, N. Yamamoto, and G. Baym, Phys. Rev. Lett. 97, 122001 (2006).
N. Yamamoto, M. Tachibana, T. Hatsuda, and G. Baym, Phys. Rev. D 76, 074001 (2007).
G. Baym, T. Hatsuda, M. Tachibana, and N. Yamamoto, J. Phys. G 35, 104021 (2008).
H. Abuki, G. Baym, T. Hatsuda, and N. Yamamoto, Phys. Rev. D 81, 125010 (2010).
M. G. Alford, K. Rajagopal, and F. Wilczek, Nucl. Phys. B537, 443 (1999).
M. G. Alford, J. Berges, and K. Rajagopal, Nucl. Phys. B558, 219 (1999).
M. Buballa and M. Oertel, Nucl. Phys. A703, 770 (2002).
M. Oertel and M. Buballa, arXiv:hep-ph/0202098.
R. Rapp, T. Schäfer, E. V. Shuryak, and M. Velkovsky, Phys. Rev. Lett. 81, 53 (1998).
M. G. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998).
S. B. Rüster, V. Werth, M. Buballa, I. A. Shovkovy, and D. H. Rischke, Phys. Rev. D 72, 034004 (2005).
H. Abuki and T. Kunihiro, Nucl. Phys. A768, 118 (2006).
H. J. Warringa, arXiv:hep-ph/0606063.
H. Basler and M. Buballa, Phys. Rev. D 81, 054033 (2010).
D. Blaschke, S. Fredriksson, H. Grigorian, A. M. Oztas, and F. Sandin, Phys. Rev. D 72, 065020 (2005).
M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 44, 1422 (1970).
G. ’t Hooft, Phys. Rev. D 14, 3432 (1976); 18, 2199(E) (1978); Phys. Rep. 142, 357 (1986).
V. Dmitrasinovic, J. Math. Phys. (N.Y.) 42, 991 (2001); J. Math. Phys.45, 2988(E) (2004).
J. F. Nieves and P. B. Pal, Am. J. Phys. 72, 1100 (2004).
A. W. Steiner, Phys. Rev. D 72, 054024 (2005).
P. Rehberg, S. P. Klevansky, and J. Hufner, Phys. Rev. C 53, 410 (1996).
M. Kitazawa, D. H.Rischke, and I. A. Shovkovy, Phys. Lett. B 663, 228 (2008).
D. Nickel, Phys. Rev. Lett. 103, 072301 (2009).
D. Nickel, Phys. Rev. D 80, 074025 (2009).
S. Carignano, D. Nickel, and M. Buballa, Phys. Rev. D 82, 054009 (2010).
T. Schäfer, Phys. Rev. Lett. 85, 5531 (2000).