Dynamics of the light-cone zero modes: {theta} vacuum of the massive Schwinger model
- Department of Physics, Kyushu University, Fukuoka 812-81 (Japan)
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{sub {minus}} 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 Schroedinger 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 Schroedinger equation for it. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 562351
- Journal Information:
- Physical Review, D, Vol. 55, Issue 8; Other Information: PBD: Apr 1997
- Country of Publication:
- United States
- Language:
- English
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