Light-Cone Quantization of the Schwinger Model

Yuji Nakawaki; Gary McCartor

doi:10.1143/ptp.103.161

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arXiv · hep-th/9903017

Light-Cone Quantization of the Schwinger Model

Yuji Nakawaki·Gary McCartor

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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 translational generators $P_+$ and $P_-$ give rise to Heisenberg equations which, in a physical subspace, are consistant 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 a physical vacuum with nontrivial degeneracies in the theory.

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Yuji Nakawaki, Gary McCartor. 1999-03-01. Light-Cone Quantization of the Schwinger Model. https://doi.org/10.1143/ptp.103.161

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