A path space formula for Gauss vectors in Chern–Simons quantum electrodynamics

DOI10.1063/1.533033zbMath0968.81038OpenAlexW1981284921MaRDI QIDQ4498485

John P. Clancy, J. L. Challifour

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533033

zbMATH Keywords

indefinite metricgauge invariancecovariant gaugesGauss' lawOsterwalder-Schrader positivityEuclidean scalar, massive, Gaussian random fieldlattice cutoffminimally coupled to a spinor fieldpath-space formula

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Path integrals in quantum mechanics (81S40) Electromagnetic interaction; quantum electrodynamics (81V10) Constructive quantum field theory (81T08) Geometry and quantization, symplectic methods (81S10)

Related Items (1)

Canonical quantization of lattice Higgs-Maxwell-Chern-Simons fields: Krein Self-adjointness

Cites Work

• Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism
• Maxwell-Chern-Simons theory in covariant and Coulomb gauges
• Quantum field theories of vortices and anyons
• Path-space formulas for covariant gauges in Krein spaces

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