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Prog. Theor. Phys. Vol. 111 No. 3 (2004) pp. 371-386

[ Full Text PDF : FREE ACCESS (328K) ]

Four-Fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential

Tomohiro Inagaki,1,* Daiji Kimura2,** and Tsukasa Murata2,***

1Information Media Center, Hiroshima University, Higashi-Hiroshima 739-8521, Japan
2Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

(Received November 29, 2003)

Abstract:

We investigate the influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. Using the Fock-Schwinger proper time method, we calculate the effective potential for the four-fermion interaction model to leading order in the 1/Nc expansion. The phase structure of the chiral symmetry breaking is determined in the T-µ, H-T and µ-H planes. The external magnetic field modifies the phase structure. It is found that a new phase appears for a large chemical potential.


URL : http://ptp.ipap.jp/link?PTP/111/371/
DOI : 10.1143/PTP.111.371


*inagaki@hiroshima-u.ac.jp
**kimura@theo.phys.sci.hiroshima-u.ac.jp
***murata@theo.phys.sci.hiroshima-u.ac.jp

[ Full Text PDF : FREE ACCESS (328K) ] Citation:


References:

  1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124 (1961), 246[APS].
  2. T. Hatsuda and T. Kunihiro, KEK preprint KEK-TH 159.
    V. Bernard, Ulf-G. Meissner and I. Zahed, Phys. Rev. D 36 (1987), 819[APS].
    M. Asakawa and K. Yazaki, Nucl. Phys. A 504 (1989), 668[CrossRef].
  3. S. P. Klevansky and R. H. Lemmer, Phys. Rev. D 39 (1989), 3478[APS].
    H. Suganuma and T. Tatsumi, Prog. Theor. Phys. 90 (1993), 379[PTP].
    M. Ishi-i, T. Kashiwa and N. Tanimura, Prog. Theor. Phys. 100 (1998), 353[PTP].
  4. A. Chodos, K. Everding and D. A. Owen, Phys. Rev. D 42 (1990), 2881[APS].
  5. T. Inagaki, T. Kouno and T. Muta, Int. J. Mod. Phys. A 10 (1995), 2241.
  6. J. Schwinger, Phys. Rev. 82 (1951), 664[APS].
  7. H. Suganuma and T. Tatsumi, Ann. of Phys. 208 (1991), 470[CrossRef].
  8. K. G. Klimenko, Teor. Mat. Fiz. 89 (1991), 211; Z. Phys. C 54 (1992), 323.
    V. P. Gusynin, V. A. Miransky and I. A. Shovkovy, Phys. Rev. Lett. 73 (1994), 3499[APS].
  9. H. -Y.  Chiu and V. Canuto, Phys. Rev. Lett. 21 (1968), 110[APS].
    H. J. Lee, V. Canuto, H. -Y. Chiu and C. Chiuderi, Phys. Rev. Lett. 23 (1969), 390[APS].
    P. Elmfors, D.  Persson and B. -S. Skagerstam, Phys. Rev. Lett. 71 (1993), 480[APS]; Astropart. Phys. 2 (1994), 299.
    D. Persson and V. Zeitlin, Phys. Rev. D 51 (1995), 2026[APS].
  10. T. Inagaki, S. D. Odintsov and Yu. I. Shil'nov, Int. J. Mod. Phys. A 14 (1999), 481.
  11. V. P. Gusynin, V. A. Miransky and I. A. Shovkovy, Phys. Rev. D 52 (1995), 4718[APS].
    S. Kanemura, H. T. Sato and H. Tochimura, Nucl. Phys. B 517 (1998), 567[CrossRef].
  12. D. Ebert and A. S. Vshivtsev, hep-ph/9806421[e-print arXiv].
    D. Ebert, K. G. Klimenko, M. A. Vdovichenko and A. S. Vshivtsev, Phys. Rev. D 61 (2000), 025005[APS].
  13. T. Inagaki, D. Kimura and T. Murata, hep-ph/0307289[e-print arXiv].
  14. P. Elmfors, Nucl. Phys. B 487 (1997), 207[CrossRef].
    H. Gies, Phys. Rev. D 60 (1999), 105002[APS].
    J. Alexandre, Phys. Rev. D 63 (2001), 073010[APS].
  15. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGrow-Hill Inc. Press, 1980).
  16. M. Le Bellac, Thermal Field Theory (Cambridge University Press, 1996).
  17. M. Haack and M. G. Schmidt, Eur. Phys. J. C 7 (1999), 149.
  18. W. Dittrich, Phys. Rev. D 19 (1979), 2385[APS].
  19. D. Persson and V. Zeitlin, Phys. Rev. D 51 (1995), 2026[APS].
  20. T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765[PTP].
    S. P. Klevansky, Rev. Mod. Phys. 64 (1992), 649[APS].
    T. Kugo, in Dynamical Symmetry Breaking, ed. K. Yamawaki (World Scientific, Singapore, 1991).
  21. Z. Fodor and S. D. Katz, J. High Energy Phys. 03 (2002), 014[CrossRef].
  22. H. Abe and T. Inagaki, Phys. Rev. D 66 (2002), 085001[APS].
  23. S. G. Sharapov, V. P. Gusynin and H. Beck, cond-mat/0308216[e-print arXiv].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 117 No. 1 (2007) pp. 139-160 :
    Influence of QED Corrections on the Orientation of Chiral Symmetry Breaking in the NJL Model
    Takahiro Fujihara, Tomohiro Inagaki and Daiji Kimura