Light-cone quantization of two dimensional field theory in the path integral approach - art. no. 105016

A quantization condition due to the boundary conditions and the compatifica tion of the light cone space-time coordinate x(-) is identified at the leve l of the classical equations for the right-handed fermionic field in two di mensions. 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 funct ion 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-va cuum structure. A generalization of the quantization condition to theories with several fermionic fields and to higher dimensions is presented. [S0556 -2821(99)06210-4].