HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 90 (1993) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 90 No. 2 (1993) pp. 379-404

[ Full Text PDF : FREE ACCESS (2358K) ]

Chiral Symmetry and Quark-Antiquark Pair Creation in a Strong Color-Electromagnetic Field

Hideo Suganuma and Toshitaka Tatsumi*

RIKEN, Wako 351-01
*Department of Physics, Kyoto University, Kyoto 606-01

(Received April 5, 1993)

Abstract:

We study the manifestation of chiral symmetry and q-q pair creation in the presence of the external color-electromagnetic field, using the Nambu-Jona-Lasinio model. We derive the compact formulae of the effective potential, the Dyson equation for the dynamical quark mass and the q-q pair creation rate in the covariantly constant color-electromagnetic field. Our results are compared with those in other approaches. The chiral-symmetry restoration takes place by a strong color-electric field, and the rapid reduction of the dynamical quark mass is found around the critical field strength, Ecr ≃4 GeV/fm. Natural extension to the three-flavor case including s-quarks is also done. Around quarks or antiquarks, chiral symmetry would be restored by the sufficiently strong color-electric field, which may lead to the chiral bag picture of hadrons. For the early stage for ultrarelativistic heavy-ion collisions, the possibility of the chiral-symmetry restoration is indicated in the central region just after the collisions.


URL : http://ptp.ipap.jp/link?PTP/90/379/
DOI : 10.1143/PTP.90.379

[ Full Text PDF : FREE ACCESS (2358K) ] Citation:

References:

  1. A. Manohar and H. Georgi, Nucl. Phys. B234 (1984), 189.
    G. S. Adkins, C. R. Nappi and E. Witten, Nucl. Phys. B228 (1983), 552.
    H. B. Nielsen and A. Patkos, Nucl. Phys. B195 (1982), 137.
  2. A. Dhar and S. R. Wadia, Phys. Rev. Lett. 52 (1984), 959[APS].
    T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. Suppl. No. 91 (1987), 284[PTP].
    S. P. Klevansky, Rev. Mod. Phys. 64 (1992), 1 [APS]and references cited therein.
  3. V. Vento, M. Rho, E. M. Nyman, J. H. Jun and G. E. Brown, Nucl. Phys. A345 (1980), 413.
    A. Chodos and C. B. Thorn, Phys. Rev. D12 (1975), 2733[APS].
    T. Inoue and T. Maskawa, Prog. Theor. Phys. 54 (1975), 1833[PTP].
  4. B. Petersson, Nucl. Phys. A525 (1991), 237c and references cited therein.
  5. A. Barducci, R. Casalbuoni, S. De Curtis, R. Gatto and G. Pettini, Phys. Rev. D41 (1990), 1610[APS].
  6. For instance, papers in Proc. of “Quark Matter '90", Menton, Nucl. Phys. A525 (1991), 1.
  7. T. D. Lee and M. Margulies, Phys. Rev. D11 (1975), 1591[APS].
  8. H. Suganuma and T. Tatsumi, Ann. of Phys. 208 (1991), 470[CrossRef].
  9. H. Suganuma and T. Tatsumi, Phys. Lett. B269 (1991), 371.
  10. H. Suganuma and T. Tatsumi, Proc. of Int. Sympo. on “High Energy Nuclear Collisions and Quark Gluon Plasma", Kyoto, 6-8 June 1991 (World Scientific, Singapore, 1992); preprint KUNS1049; Proc. of Int. Workshop on “High Density Nuclear Matter", KEK, 18-21 Sep. 1990, to be published.
  11. S. P. Klevansky and R. H. Lemner, Phys. Rev. D39 (1989), 3478[APS].
  12. S. P. Klevansky, J. Jaenicke and R. H. Lemmer, Phys. Rev. D43 (1991), 3040[APS].
  13. W. Sakuler, W. Bürger, M. Faber, H. Markum, M. Müller, P. D. Forcrand, A. Nakamura and I. O. Stamatescu, Phys. Lett. B276 (1992), 155.
    W. Bürger, M. Faber, W. Feilmair and H. Markum, Nucl. Phys. A525 (1991), 581c.
    M. Muller, M. Faber, W. Feimair and H. Markum, Nucl. Phys. B335 (1990), 502.
  14. T. Suzuki, Prog. Theor. Phys. 80 (1988), 929[PTP].
    S. Maedan and T. Suzuki, Prog. Theor. Phys. 81 (1989), 229[PTP].
    M. Baker, J. S. Ball and F. Zachariasen, Phys. Rept. 209 (1991), 73[CrossRef]; Phys. Rev. D38 (1988), 1926[APS].
  15. S. G. Matinyan and G. K. Savvidy, Nucl. Phys. B134 (1978), 539.
    G. K. Savvidy, Phys. Lett. B71 (1977), 133.
    I. A. Batalin, S. G. Matinyan and G. K. Savvidy, Sov. J. Nucl. Phys. 26 (1977), 214.
  16. H. Pagels and E. Tomboulis, Nucl. Phys. B143 (1978), 485.
    N. K. Nielsen and P. Olesen, Nucl. Phys. B144 (1978), 376.
    H. B. Nielsen and P. Olesen, Nucl. Phys. B160 (1979), 380.
    J. Ambj\ornand P. Olesen, Nucl. Phys. B170 (1980), 60.
  17. W. Dittrich and M. Reuter, Lecture Notes in Physics 220 (1985), 244.
  18. For instance, A. B. Balantekin, J. E. Seger and S. H. Fricke, Int. J. Mod. Phys. A6 (1991), 695 and references cited therein.
  19. For a recent review article, K. Sailer, Th. Schönfeld, Zs. Schram, A. Schäfer and W. Greiner, J. of Phys. G17 (1991), 1005[IoP STACKS].
  20. P. H. Cox and A. Yildiz, Phys. Rev. D32 (1985), 819[APS].
  21. W. Greiner, B. Müller and J. Rafelski, Quantum Electrodynamics of Strong Fields (Springer-Verlag, Berlin, Heidelberg, 1985).
  22. M. R. Brown and M. J. Duff, Phys. Rev. D11 (1975), 2124[APS].
    A. Yildiz and P. H. Cox, Phys. Rev. D21 (1980), 1095[APS].
    M. Claudson, A. Yildiz and P. H. Cox. Phys. Rev. D22 (1980), 2022[APS].
  23. H. Leutwyler, Nucl. Phys. B129 (1981), 129.
  24. K. Huang, Quarks, Leptons and Gauge Fields (World Scientific, Singapore, 1982).
  25. G. 't Hooft, Nucl. Phys. B190 (1981), 455.
  26. J. Schwinger, Phys. Rev. 82 (1951), 664[APS].
  27. T. Kunihiro, Nucl. Phys. B351 (1991), 593.
  28. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
  29. D. J. Gross and A. Neveu, Phys. Rev. D10 (1974), 3235[APS].
  30. A. D. Giacomo, M. Maggiore and Š. Olejník, Nucl. Phys. B347 (1990), 441.
    L. D. Debbio, A. D. Giacomo, M. Maggiore and Š. Olejník, Preprint CERN-TH-6282-91, Proc. of the 25th Int. Symp. on the “Theory of Elementary Particles", Gosen, Germany, Sep. 1991.
  31. A. B. Migdal, S. B. Khokhlachev and V. Yu. Borue, Phys. Lett. B228 (1989), 167.
    A. B. Migdal, JETP Lett. 46 (1987), 322.
  32. G. Gatoff, A. K. Kerman and T. Matsui, Phys. Rev. D36 (1987), 114[APS].
  33. C. Martin and D. Vautherin, Phys. Rev. D38 (1988), 3593[APS].
    C. Martin and D. Vautherin, Phys. Rev. D40 (1989), 1667[APS].
  34. A. Chodos, Phys. Rev. D42 (1990), 2881[APS].
  35. S. Hioki, S. Kitahara, S. Kiura, Y. Matsubara, O. Miyamura, S. Ohno and T. Suzuki, Phys. Lett. B272 (1991), 326.
  36. S. Coleman and E. Weinberg, Phys. Rev. D7 (1973), 1888[APS].
  37. G. Barton, Ann. of Phys. 166 (1986), 322[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 100 No. 2 (1998) pp. 353-374 :
    Nambu–Jona-Lasinio Model Coupled to Constant Electromagnetic Fields in D-Dimension
    Masaru Ishi-i, Taro Kashiwa and Naoki Tanimura
  2. Progress of Theoretical Physics Vol. 111 No. 3 (2004) pp. 371-386 :
    Four-Fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential
    Tomohiro Inagaki, Daiji Kimura and Tsukasa Murata
  3. 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
  4. Progress of Theoretical Physics Supplement No.120 (1995) pp. 57-73 :
    Dual Higgs Mechanism for Quarks in Hadrons
    Hideo Suganuma, Shoichi Sasaki, Hiroshi Toki and Hiroko Ichie

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.