Origin of the anomalies: The modified Heisenberg equation

2002/07/18 by Jérôme Estève, J. G. Esteve · 7 citations
Earth and Planetary Sciences · Physics and Astronomy · #High-pressure geophysics and materials #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevd.66.125013

published as Phys.Rev. D66 (2002) 125013 · 7 pages, LaTex

arxiv created 2002/07/18 · openalex publication_date 2002/12/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The origin of the anomalies is analyzed. It is shown that they are due to the fact that the generators of the symmetry do not leave the domain of definition of the Hamiltonian invariant and thus a term, normally forgotten in the Heisenberg equation, gives an extra contribution responsible for the nonconservation of the charges. This explanation is equivalent to that of Fujikawa in the path integral formalism. Finally, this approach is applied to conformal symmetry breaking in two-dimensional quantum mechanics.

Citations

• Path integral for gauge theories with fermions
• Axial-Vector Vertex in Spinor Electrodynamics

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