Light-Cone Quantization of the Schwinger Model | Zendy

Yuji Nakawaki | Zendy; Gary McCartor | Zendy

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Light-Cone Quantization of the Schwinger Model

Author(s) -

Yuji Nakawaki,

Gary McCartor

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.103.161

Subject(s) - physics , light cone , quantization (signal processing) , parton , light cone gauge , gauge theory , canonical quantization , subspace topology , gauge fixing , mathematical physics , quantum field theory , geometric quantization , brst quantization , operator (biology) , quantum , quantum mechanics , theoretical physics , quantum gravity , quantum chromodynamics , mathematical analysis , gauge boson , chemistry , mathematics , repressor , computer science , biochemistry , transcription factor , computer vision , gene

We consider constructing a canonical quantum theory of the light-cone gauge($A_-$=0) Schwinger model in the light-cone representation. Quantizationconditions are obtained by requiring that translational generators $P_+$ and$P_-$ give rise to Heisenberg equations which, in a physical subspace, areconsistant with the field equations. A consistent operator solution withresidual gauge degrees of freedom is obtained by solving initial value problemson the light-cones. The construction allows a parton picture although we have aphysical vacuum with nontrivial degeneracies in the theory.Comment: 19 pages, two ps figures, uses ptptex.sty and psfi

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