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An Analysis of the First Order Form of Gauge Theories

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arxiv 1112.2003 v1 pith:SYYT2VXJ submitted 2011-12-09 hep-th gr-qc

N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon This is my paper · ORCID
classification hep-thgr-qc
keywords gaugefirstorderformtheoryactionanalyzedinvariant
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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 which leaves the action invariant is derived from the constraints present. A non-Abelian 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Canonical Form of Born-Infeld Inspired Gravity Coupled to Scalar Fields

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Born-Infeld inspired gravity with minimally coupled scalar fields is rewritten in canonical form whose gravitational piece is identical to general relativity and whose matter piece carries complicated corrections.

  2. Canonical Analysis of Eddington Gravity

    gr-qc 2025-06 conditional novelty 5.0 of 10

    Eddington's pure-connection gravity has a canonical action identical in form to the ADM Hamiltonian of General Relativity, confirming their equivalence in the Hamiltonian formalism.

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