An Axiomatic Approach to Semiclassical Perturbative Gauge Field Theories

Details An Axiomatic Approach to Semiclassical Perturbative Gauge Field Theories An Axiomatic Approach to Semiclassical Perturbative Gauge Field Theories

2005-12-30

arxiv.org/abs/hep-th/0512352v1

Physics

High Energy Physics

High Energy Physics - Theory

54 pages

Scientific paper

Different approaches to axionatic field theory are investigated. The main notions of semiclassical theory are the following: semiclassical states, Poincare transformations, semiclassical action form, semiclassical gauge equivalence and semiclassical field. If the manifestly covariant approach is used, the notion of semiclassical state is related to Schwinger sourse, while the semicalssical action is presented via the R-function of Lehmann, Symanzik and Zimmermann. Semiclassical perturbation theory is constructed. Its relation with the S-matrix theory is investigated. Semiclassical electrodynamics and non-Abelian gauge theories are studied, making us of the Gupta-Bleuler and BRST approaches.

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