Canonical Analysis of the First Order Form of Topologically Massive Electrodynamics
R. N. Ghalati, N. Kiriushcheva, S. V. Kuzmin, D. G. C. McKeon
TL;DR
This paper analyzes the first order form of a three-dimensional U(1) gauge theory with a gauge invariant mass term using Dirac's method, deriving the gauge transformations from the constraints.
Contribution
It provides a canonical analysis of topologically massive electrodynamics in first order form, elucidating the gauge structure and constraints.
Findings
Derived the gauge transformations from the constraints.
Clarified the structure of the first order form of the theory.
Identified the role of the mass term in gauge invariance.
Abstract
The first order form of a three dimensional U(1) gauge theory in which a gauge invariant mass term appears is analyzed using the Dirac procedure. The form of the gauge transformation which leaves the action invariant is derived from the constraints present.
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Taxonomy
TopicsRelativity and Gravitational Theory · Quantum Mechanics and Applications · Quantum and Classical Electrodynamics