Dirac quantization of the massless Thirring model energy-momentum tensor anomaly

Abstract

The Dirac method of quantizing Hamiltonian systems with constraints is applied to the massless Thirring model. We solve the quantum Hamiltonian equation for the energy-momentum tensor and obtain a violation of the classical conservation law.A previously noticed problem with the equal-time anticommutators can be fixed using this Hamiltonian method.

2 figures