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Prog. Theor. Phys. Vol. 97 No. 4 (1997) pp. 635-651

Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization

Kazunori Itakura and Shinji Maedan^*,*)

Institute of Physics, University of Tokyo, Komaba, Tokyo 153
^*Department of Physics, Tokyo Metropolitan University, Hachioji 192-03

(Received October 1, 1996)

Abstract:

Spontaneous symmetry breaking of the light-front Gross-Neveu model is studied in the framework of the discretized light-cone quantization. Introducing a scalar auxiliary field and adding its kinetic term, we obtain a constraint on the longitudinal zero mode of the scalar field. This zero-mode constraint is solved by using the 1/N expansion. In the leading order, we find a nontrivial solution which gives the fermion nonzero mass and thus breaks the discrete symmetry of the model. It is essential for obtaining the nontrivial solution to treat adequately an infrared divergence which appears in the continuum limit. We also discuss the constituent picture of the model. The Fock vacuum is trivial and an eigenstate of the light-cone Hamiltonian. In the large N limit, the Hamiltonian consists of the kinetic term of the fermion with dressed mass and the interaction term of these fermions.

URL : http://ptp.ipap.jp/link?PTP/97/635/
DOI : 10.1143/PTP.97.635

^*)Permanent address: Department of Physics, Tokyo National College of Technology,
Hachioji 193.

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 98 No. 2 (1997) pp. 527-532 :

   Gap Equations from Fermionic Constraints on the Light-Front

   Kazunori Itakura

2. Progress of Theoretical Physics Vol. 105 No. 4 (2001) pp. 537-571 :

   Light-Front Realization of Chiral Symmetry Breaking

   Kazunori Itakura and Shinji Maedan

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