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Prog. Theor. Phys. Vol. 118 No. 2 (2007) pp. 303-314

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Gluonic Phases and Phase Diagram in Neutral Two Flavor Dense QCD

Michio Hashimoto1,* and V. A. Miransky2,**

1Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
2Department of Applied Mathematics, University of Western Ontario,
London, Ontario N6A 5B7, Canada

(Received May 21, 2007)

Abstract:

A numerical analysis of several phases in the cold neutral two flavor dense quark matter is realized. In the analysis, besides the normal, single plane wave LOFF, and color superconducting 2SC/g2SC phases, we also include two gluonic phases (the gluonic cylindrical phase II and the gluonic color-spin locked one). It is shown that these two gluonic phases are dynamically realized and, on the basis of this analysis, the phase diagram with respect to the coupling strength in this medium is suggested. In particular, it is shown that the gluonic phases are energetically favorable in a wide region of the parameter space and they can resolve the problem of the 2SC/g2SC chromomagnetic instability in the whole region where it exists. On the other hand, there also exists a window where the LOFF phase is stable. The 2SC state and the normal one are realized in the strong and weak coupling regimes, respectively, as was expected.


URL : http://ptp.ipap.jp/link?PTP/118/303/
DOI : 10.1143/PTP.118.303


*E-mail: michioh@eken.phys.nagoya-u.ac.jp
**E-mail: vmiransk@uwo.ca   On leave from Bogolyubov Institute for Theoretical Physics, 03143, Kiev, Ukraine.

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References:

  1. E. V. Gorbar, M. Hashimoto and V. A. Miransky, Phys. Lett. B 632 (2006), 305[CrossRef].
  2. E. V. Gorbar, M. Hashimoto and V. A. Miransky, Phys. Rev. D 75 (2007), 085012[APS].
  3. K. Rajagopal and F. Wilczek, in Handbook of QCD, ed. M. Shifman (World Scientific, Singapore, 2001); hep-ph/0011333[e-print arXiv].
    M. G. Alford, Annu. Rev. Nucl. Part. Sci. 51 (2001), 131.
    D. K. Hong, Acta Phys. Polon. B 32 (2001), 1253.
    S. Reddy, Acta Phys. Polon. B 33 (2002), 4101.
    T. Schäfer, hep-ph/0304281[e-print arXiv].
    D. H. Rischke, Prog. Part. Nucl. Phys. 52 (2004), 197.
    M. Buballa, Phys. Rep. 407 (2005), 205[CrossRef].
    M. Huang, Int. J. Mod. Phys. E 14 (2005), 675.
    I. A. Shovkovy, Found. Phys. 35 (2005), 1309.
  4. D. Ivanenko and D. F. Kurdgelaidze, Astrofiz. 1 (1965), 479; Lett. Nuovo Cim. 2 (1969), 13.
    N. Itoh, Prog. Theor. Phys. 44 (1970), 291[IPAP].
    F. Iachello, W. D. Langer and A. Lande, Nucl. Phys. A 219 (1974), 612[CrossRef].
    J. C. Collins and M. J. Perry, Phys. Rev. Lett. 34 (1975), 1353[APS].
  5. K. Iida and G. Baym, Phys. Rev. D 63 (2001), 074018 [APS][ Errata; 66 (2002), 059903[APS]].
  6. M. Alford and K. Rajagopal, J. High Energy Phys. 06 (2002), 031[IoP STACKS].
  7. A. W. Steiner, S. Reddy and M. Prakash, Phys. Rev. D 66 (2002), 094007[APS].
  8. M. Huang, P. F. Zhuang and W. Q. Chao, Phys. Rev. D 67 (2003), 065015[APS].
  9. I. Shovkovy and M. Huang, Phys. Lett. B 564 (2003), 205[CrossRef].
    M. Huang and I. Shovkovy, Nucl. Phys. A 729 (2003), 835[CrossRef].
  10. H. Abuki, M. Kitazawa and T. Kunihiro, Phys. Lett. B 615 (2005), 102[CrossRef].
    H. Abuki and T. Kunihiro, Nucl. Phys. A 768 (2006), 118[CrossRef].
  11. S. B. Ruster, V. Werth, M. Buballa, I. A. Shovkovy and D. H. Rischke, Phys. Rev. D 72 (2005), 034004[APS].
  12. D. Blaschke, S. Fredriksson, H. Grigorian, A. M. Oztas and F. Sandin, Phys. Rev. D 72 (2005), 065020[APS].
  13. M. G. Alford, J. A. Bowers and K. Rajagopal, Phys. Rev. D 63 (2001), 074016[APS].
    For a review, see, e.g., R. Casalbuoni and G. Nardulli, Rev. Mod. Phys. 76 (2004), 263[APS].
  14. J. A. Bowers and K. Rajagopal, Phys. Rev. D 66 (2002), 065002[APS].
    M. Mannarelli, K. Rajagopal and R. Sharma, hep-ph/0702021[e-print arXiv].
  15. S. Reddy and G. Rupak, Phys. Rev. C 71 (2005), 025201[APS].
  16. M. Huang, Phys. Rev. D 73 (2006), 045007[APS].
  17. A. Kryjevski, hep-ph/0508180[e-print arXiv].
    T. Schäfer, Phys. Rev. Lett. 96 (2006), 012305[APS].
    A. Gerhold, T. Schafer and A. Kryjevski, Phys. Rev. D 75 (2007), 054012[APS].
  18. X. B. Zhang and J. I. Kapusta, Phys. Rev. D 75 (2007), 054028[APS].
  19. R. Gatto and M. Ruggieri, Phys. Rev. D 75 (2007), 114004[APS].
  20. M. Huang and I. A. Shovkovy, Phys. Rev. D 70 (2004), 051501[APS](R); Phys. Rev. D 70 (2004), 094030[APS].
  21. R. Casalbuoni, R. Gatto, M. Mannarelli, G. Nardulli and M. Ruggieri, Phys. Lett. B 605 (2005), 362 [CrossRef][ Errata; 615 (2005), 297[Elsevier]].
    M. Alford and Q. Wang, J. of Phys. G 31 (2005), 719[IoP STACKS].
    K. Fukushima, Phys. Rev. D 72 (2005), 074002[APS].
  22. E. V. Gorbar, M. Hashimoto, V. A. Miransky and I. A. Shovkovy, Phys. Rev. D 73 (2006), 111502[APS](R).
  23. M. Hashimoto, Phys. Lett. B 642 (2006), 93[CrossRef].
  24. K. Iida and K. Fukushima, Phys. Rev. D 74 (2006), 074020[APS].
  25. I. Giannakis, D. Hou, M. Huang and H. C. Ren, Phys. Rev. D 75 (2007), 011501[APS](R); Phys. Rev. D 75 (2007), 014015[APS].
  26. K. Fukushima, Phys. Rev. D 73 (2006), 094016[APS].
  27. O. Kiriyama, D. H. Rischke and I. A. Shovkovy, Phys. Lett. B 643 (2006), 331[CrossRef].
  28. A. Gerhold and A. Rebhan, Phys. Rev. D 68 (2003), 011502[APS](R).
    D. D. Dietrich and D. H. Rischke, Prog. Part. Nucl. Phys. 53 (2004), 305.
  29. I. Giannakis and H. C. Ren, Phys. Lett. B 611 (2005), 137[CrossRef]; Nucl. Phys. B 723 (2005), 255[CrossRef].
    I. Giannakis, D. F. Hou and H. C. Ren, Phys. Lett. B 631 (2005), 16[CrossRef].
  30. E. V. Gorbar, M. Hashimoto and V. A. Miransky, Phys. Rev. Lett. 96 (2006), 022005[APS].
  31. L. He, M. Jin and P. Zhuang, Phys. Rev. D 75 (2007), 036003[APS].
  32. O. Kiriyama, Phys. Rev. D 74 (2006), 074019[APS]; Phys. Rev. D 74 (2006), 114011[APS].
  33. V. P. Gusynin, V. A. Miransky and I. A. Shovkovy, Phys. Lett. B 581 (2004), 82[CrossRef]; Mod. Phys. Lett. A 19 (2004), 1341.
  34. E. V. Gorbar, J. Jia and V. A. Miransky, Phys. Rev. D 73 (2006), 045001[APS].
  35. A. Buchel, J. Jia and V. A. Miransky, Nucl. Phys. B 772 (2007), 323[CrossRef].
  36. V. A. Miransky and I. A. Shovkovy, Phys. Rev. Lett. 88 (2002), 111601[APS].
    T. Schäfer, D. T. Son, M. A. Stephanov, D. Toublan and J. J. M. Verbaarschot, Phys. Lett. B 522 (2001), 67[CrossRef].

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