Light-cone quantization of two dimensional field theory in the path integral approach

Details Light-cone quantization of two dimensional field theory in the path integral approach Light-cone quantization of two dimensional field theory in the path integral approach

1999-01-27

arxiv.org/abs/hep-th/9901141v1

Phys.Rev. D59 (1999) 105016

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 14 pg

Scientific paper

10.1103/PhysRevD.59.105016

A quantization condition due to the boundary conditions and the compatification of the light cone space-time coordinate $x^-$ is identified at the level of the classical equations for the right-handed fermionic field in two dimensions. A detailed analysis of the implications of the implementation of this quantization condition at the quantum level is presented. In the case of the Thirring model one has selection rules on the excitations as a function of the coupling and in the case of the Schwinger model a double integer structure of the vacuum is derived in the light-cone frame. Two different quantized chiral Schwinger models are found, one of them without a $\theta$-vacuum structure. A generalization of the quantization condition to theories with several fermionic fields and to higher dimensions is presented.

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