Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-27
Phys.Rev. D55 (1997) 4910-4919
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, RevTex, no figures
Scientific paper
10.1103/PhysRevD.55.4910
The massive Schwinger model is quantized on the light cone with great care on the bosonic zero modes by putting the system in a finite (light-cone) spatial box. The zero mode of $A_{-}$ survives Dirac's procedure for the constrained system as a dynamical degree of freedom. After regularization and quantization, we show that the physical space condition is consistently imposed and relates the fermion Fock states to the zero mode of the gauge field. The vacuum is obtained by solving a Schr\"odinger equation in a periodic potential, so that the theta is understood as the Bloch momentum. We also construct a one-meson state in the fermion-antifermion sector and obtained the Schr\"odinger equation for it.
Harada Koji
Okazaki Atsushi
Taniguchi Masa-aki
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