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Prog. Theor. Phys. Vol. 94 No. 3 (1995) pp. 373-384

[ Full Text PDF : FREE ACCESS (680K) ]

Dual Ginzburg-Landau Theory with QCD-Monopoles for Dynamical Chiral-Symmetry Breaking

Shoichi Sasaki,* Hideo Suganuma* and Hiroshi Toki*,**

Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567
*Institute for Physical and Chemical Research (RIKEN), Wako 351-01

(Received February 17, 1995)

Abstract:

We study dynamical chiral-symmetry breaking of non-perturbative QCD in the dual Ginzburg-Landau theory, where the QCD-monopole field is introduced as an essential field for color confinement stemming from the choice of the abelian gauge fixing \texita la 't Hooft. In this theory, QCD-monopole condensation causes the dual Meissner effect, which changes the gluon propagator. The dynamical chiral-symmetry breaking is investigated using the Schwinger-Dyson equation with the modified gluon propagator in the QCD-monopole condensed vacuum. We introduce the low momentum cutoff on the modified gluon propagator by considering the effects of the q-q pair creation and/or the quarks being confined in hadrons. We find that dynamical chiral-symmetry breaking is largely enhanced by QCD-monopole condensation, which suggests the close relation between the color confinement and the chiral symmetry breaking. The dynamical quark mass, the pion decay constant and the quark condensate are reproduced consistently with the confining mechanism in this theory.


URL : http://ptp.ipap.jp/link?PTP/94/373/
DOI : 10.1143/PTP.94.373

[ Full Text PDF : FREE ACCESS (680K) ] Citation:

References:

  1. M. Creutz, Quarks, Gluons and Lattices (Cambridge Press, 1983), p. 1.
    H. J. Rothe, Lattice Gauge Theories (World Scientific, 1992), p. 1.
  2. T. Suzuki, Prog. Theor. Phys. 80 (1988), 929[PTP]; 81 (1989), 752.
    S. Maedan and T. Suzuki, Prog. Theor. Phys. 81 (1989), 229[PTP].
  3. G. 't Hooft, Nucl. Phys. B190 (1981), 455.
  4. A. S. Kronfeld, G. Schierholz and U.-J. Wiese, Nucl. Phys. B293 (1987), 461.
    T. Suzuki and I. Yotsuyanagi, Phys. Rev. D42 (1990), 4257[APS].
    S. Hioki et al., Phys. Lett. B272 (1991), 326.
    S. Kitahara et al., Prog. Theor. Phys. 93 (1995), 1[PTP].
  5. S. Kamizawa, Doctor thesis, Kanazawa University, 1993.
  6. M. Baker, J. S. Ball and F. Zachariasen, Phys. Rev. D38 (1988), 1926[APS]; D47 (1993), 743( E); Phys. Rep. 209 (1991), 73[CrossRef].
  7. G. Krein and A. G. Williams, Phys. Rev. D43 (1991), 3541[APS].
  8. H. Suganuma, S. Sasaki and H. Toki, Nucl. Phys. B435 (1995), 207.
    H. Toki, H. Suganuma and S. Sasaki, Nucl. Phys. A577 (1994), 353c.
  9. S. Sasaki, H. Suganuma and H. Toki, Proc. of “ Quark Confinement and the Hadron Spectrum", ed. N. Brambilla and G. M. Prosperi (World Scientific, 1995), p. 227.
    H. Suganuma, S. Sasaki and H. Toki, ibid. p. 238.
  10. D. Zwanziger, Phys. Rev. D3 (1971), 880[APS].
  11. Z. F. Ezawa and A. Iwazaki, Phys. Rev. D25 (1982), 2681[APS].
  12. W. Kummer, Acta Phys. Austriaca 41 (1975), 315.
  13. Y. Nambu, Phys. Rev. D10 (1974), 4262[APS].
  14. S. Mandelstam, Phys. Rev. D20 (1979), 3223[APS].
  15. S. Matsuyama and H. Miyazawa, Prog. Theor. Phys. 61 (1979), 942[PTP].
  16. V. Singh, D. A. Browne and R. W. Haymaker, Phys. Lett. B306 (1993), 115.
  17. K. Higashijima, Phys. Rev. D29 (1984), 1228[APS]; Prog. Theor. Phys. Suppl. No. 104 (1991), 1[PTP].
  18. W. Bürger, M. Faber, H. Markum and M. Müller, Phys. Rev. D47 (1993), 3034[APS].
  19. K.-T. Chao, Y.-B. Ding and D.-H. Qin, Commun. Theor. Phys. 18 (1992), 321.
  20. N. Nakamura and T. Suzuki, private communication.
    S. Sasaki, H. Suganuma and H. Toki, in preparation.
  21. V. A. Miransky, Sov. J. Nucl. Phys. 38 (1983), 280.
    V. A. Miransky, Dynamical Symmetry Breaking in Quantum Field Theories (World Scientific, 1993), 1.
  22. A. Barducci et al., Phys. Lett. B193 (1987), 305.
    A. Barducci et al., Phys. Rev. D38 (1988), 238[APS].
  23. K.-I. Aoki et al., Prog. Theor. Phys. 84 (1990), 683[PTP].
    T. Kugo and M. G. Mitchard, Phys. Lett. B286 (1992), 355.
  24. W. Lucha, F. F. Schöberl and D. Gromes, Phys. Rep. 200 (1991), 127[CrossRef].
  25. G. Krein, P. Tang and A. G. Williams, Phys. Lett. B215 (1988), 145.
  26. H. Pagels and S. Stokar, Phys. Rev. D20 (1979), 2947[APS].
  27. O. Miyamura, Nucl. Phys. B42 (Proc. Suppl.) (1995), 538.

Citing Article(s) :

  1. ERROR : Mag:46, Vol:134, Page:
  2. Progress of Theoretical Physics Vol. 101 No. 3 (1999) pp. 721-747 :
    Bethe-Salpeter Approach for Mesons in the Pion Channel within the Dual Ginzburg-Landau Theory
    Kensuke Kusaka Tsutomu Sakai and Hiroshi Toki
  3. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1147-1161 :
    Instanton and Monopole in External Chromomagnetic Fields
    Masahiro Fukushima, Hideo Suganuma and Satoshi Chiba
  4. Progress of Theoretical Physics Supplement No.129 (1997) pp. 227-230 :
    Confinement Mechanism and Chiral Phase Transition in the Non-Perturbative Vacuum of QCD
    Shoichi Sasaki, Hideo Suganuma and Hiroshi Toki
  5. Progress of Theoretical Physics Supplement No.131 (1998) pp. 257-267 :
    Dual Ginzburg-Landau Theory on Non-Perturbative QCD Phenomena
    Hiroshi Toki

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