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

2004/03/10 by S. V. Kryukov, S. Kryukov, Kryukov, S.
Physics and Astronomy · #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Quantum, superfluid, helium dynamics #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0403016

2 figures

openalex publication_date 2004/03/10 · arxiv created 2004/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Special integrals of motion in quantum integrable systems

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