Light-cone quantization of the Schwinger model

Abstract

We consider constructing a canonical quantum theory of the light-cone gauge (A- = 0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that the translational generators P+ and P- give rise to Heisenberg equations which, in a physical subspace, are consistent with the field equations. A consistent operator solution with residual gauge degrees of freedom is obtained by solving initial value problems on the light cones. The construction allows a parton picture, although we have θ-vacua in the theory.