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- Title
An analysis of the first-order form of gauge theories.
- Authors
Kiriushcheva, N.; Kuzmin, S.V.; McKeon, D.G.C.
- Abstract
The first-order form of a Maxwell theory and U(1) gauge theory in which a gauge invariant mass term appears is analyzed using the Dirac procedure. The form of the gauge transformation that leaves the action invariant is derived from the constraints present. A nonabelian generalization is similarly analyzed. This first-order three dimensional massive gauge theory is rewritten in terms of two interacting vector fields. The constraint structure when using light-cone coordinates is considered. The relationship between first- and second-order forms of the two-dimensional Einstein-Hilbert action is explored where a Lagrange multiplier is used to ensure their equivalence.
- Subjects
GAUGE field theory; INVARIANTS (Mathematics); GAUGE invariance; GENERALIZATION; CONSTRAINTS (Physics); CHARACTERISTIC functions; LAGRANGE multiplier
- Publication
Canadian Journal of Physics, 2012, Vol 90, Issue 2, p165
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/p11-154