An Analysis of the First Order Form of Gauge Theories

Autor: Kiriushcheva, N., Kuzmin, S. V., McKeon, D. G. C.
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1139/p11-154
Popis: 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.
Comment: 22 pages, to appear in Canadian Journal of Physics. arXiv admin note: text overlap with arXiv:hep-th/0609220
Databáze: arXiv