Prog. Theor. Phys. Vol. 98 No. 2 (1997) pp. 527-532

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Letters

Gap Equations from Fermionic Constraints on the Light-Front

Kazunori Itakura

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01

(Received May 11, 1997)

Abstract:

We investigate how the gap equations are obtained in the light-front formalism within the four-Fermi theories. Instead of the zero-mode constraint, we find that the “fermionic constraints" on non-dynamical spinor components are responsible for symmetry breaking. Careful treatment of the infrared divergence is indispensable for obtaining the gap equation.

URL : http://ptp.ipap.jp/link?PTP/98/527/
DOI : 10.1143/PTP.98.527

References:

T. Maskawa and K. Yamawaki, Prog. Theor. Phys. 56 (1976), 270[PTP].
T. Heinzl, S. Krusche, S. Simburger and E. Werner, Z. Phys. C56 (1992), 415.
T. Heinzl, C. Stern, E. Werner and B. Zellermann, Z. Phys. C72 (1996), 353.
D. G. Robertson, Phys. Rev. D47 (1993), 2549[APS].
C. M. Bender, S. Pinsky and B. van de Sande, Phys. Rev. D48 (1993), 816[APS].
S. Pinsky and B. van de Sande, Phys. Rev. D49 (1994), 2001[APS].
S. Pinsky, B. van de Sande and J. R. Hiller, Phys. Rev. D51 (1995), 726[APS].
A. Borderies, P. Grange and E. Werner, Phys. Lett. B319 (1993), 490; B345 (1995), 458.
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS].
D. J. Gross and A. Neveu, Phys. Rev. D10 (1974), 3235[APS].
C. Dietmaier, T. Heinzl, M. Schaden and E. Werner, Z. Phys. A334 (1989), 215.
K. Hornbostel, Phys. Rev. D45 (1992), 3781[APS].
S. Kojima, N. Sakai and T. Sakai, Prog. Theor. Phys. 95 (1996), 621[PTP].
M. Thies and K. Ohta, Phys. Rev. D48 (1993), 5883[APS].
I. Pesando, Mod. Phys. Lett. A10 (1995), 525.
S. Maedan, Phys. Lett. B370 (1996), 116.
K. Itakura and S. Maedan, Prog. Theor. Phys. 97 (1997), 635[PTP].
K. Itakura, Phys. Rev. D54 (1996), 2853[APS].
N. Nakanishi and K. Yamawaki, Nucl. Phys. B122 (1977), 15.
A. Harindranath and J. P. Vary, Phys. Rev. D37 (1988), 3010[APS].
P. A. Griffin, Phys. Rev. D46 (1992), 3538[APS].
K. Itakura and S. Maedan, in preparation.
K. Itakura, Ph. D. Thesis, Univ. of Tokyo, December 1996.

Citing Article(s) :

Progress of Theoretical Physics Vol. 105 No. 4 (2001) pp. 537-571 :
Light-Front Realization of Chiral Symmetry Breaking

Kazunori Itakura and Shinji Maedan