Action Principle and Algebraic Approach to Gauge Transformations in Gauge Theories

Details Action Principle and Algebraic Approach to Gauge Transformations in Gauge Theories Action Principle and Algebraic Approach to Gauge Transformations in Gauge Theories

2007-06-12

arxiv.org/abs/0706.1631v2

Int.J.Theor.Phys.44:53-62,2005

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 12 pages, Corrected typos

Scientific paper

10.1007/s10773-005-1436-z

The action principle is used to derive, by an entirely algebraic approach, gauge transformations of the full vacuum-to-vacuum transition amplitude (generating functional) from the Coulomb gauge to arbitrary covariant gauges and in turn to the celebrated Fock-Schwinger (FS) gauge for the abelian (QED) gauge theory without recourse to path integrals or to commutation rules and without making use of delta functionals. The interest in the FS gauge, in particular, is that it leads to Faddeev-Popov ghosts-free non-abelian gauge theories. This method is expected to be applicable to non-abelian gauge theories including supersymmetric ones.

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