1995/04/11 by I. Yu. Karataeva, Alex Lyakhovich, S. L. Lyakhovich
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Anomaly (physics) #BRST quantization #Black Holes and Theoretical Physics #Cellular algebra #Chiral anomaly #Constraint algebra #Covariant transformation #Current algebra #Fermion #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian (control theory) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1007/bf02067492
LaTeX, 24pp
arxiv created 1995/04/11 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The regularization scheme is proposed for the constrained Hamiltonian formulation of the gauge fields coupled to the chiral or axial fermions. The Schwinger terms in the regularized operator first-class constraint algebra are shown to be consistent with the covariant divergence anomaly of the corresponding current. Regularized quantum master equations are studied, and the Schwinger terms are found out to break down both nilpotency of the BRST-charge and its conservation law. Wess-Zumino consistency conditions are studied for the BRST anomaly and they are shown to contradict to the covariant Schwinger terms in the BRST algebra.