Light - cone quantization of the Schwinger model

Mar, 1999
19 pages
Published in:
  • Prog.Theor.Phys. 103 (2000) 161-181
e-Print:
Report number:
  • SMU-HEP-99-03

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Abstract:
We consider constructing a canonical quantum theory of the light-cone gauge (AA_-=0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that translational generators P+P_+ and PP_- 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.
  • Schwinger model
  • light cone gauge
  • quantization
  • boundary condition
  • parton
  • vacuum state
  • zero mode
  • commutation relations