2012/12/27 by Ľubomír Martinovič, Martinovic, Lubomir
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1212.6449
openalex publication_date 2012/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Massless QED(1+1) - the Schwinger model - is studied in a covariant gauge.\nThe main new ingredient is an operator solution of the Dirac equation expressed\ndirectly in terms of the fields present in the Lagrangian. This allows us to\nstudy in detail the residual symmetry of the covariant gauge. For comparison,\nwe analyze first an analogous solution in the Thirring-Wess model and its\nimplication for the axial anomaly arising from the necessity to correctly\ndefine products of fermion operators via point-splitting. In the Schwinger\nmodel, one has to define the currents in a gauge invariant (GI) way. Certain\nproblems with their usual derivation are identified that obscure the origin of\nthe massive vector boson. We show how to define the truly GI interacting\ncurrents, reformulate the theory in a finite volume and clarify role of the\ngauge zero mode in the axial anomaly and in the Schwinger mechanism. A\ntransformation to the Coulomb gauge representation is suggested along with\nideas about how to correctly obtain other properties of the model.\n