English

Relating Green's Functions in Axial and Lorentz Gauges using Finite Field-Dependent BRS Transformations

High Energy Physics - Theory 2009-10-31 v4 High Energy Physics - Phenomenology

Abstract

We use finite field-dependent BRS transformations (FFBRS) to connect the Green functions in a set of two otherwise unrelated gauge choices. We choose the Lorentz and the axial gauges as examples. We show how the Green functions in axial gauge can be written as a series in terms of those in Lorentz gauges. Our method also applies to operator Green's functions. We show that this process involves another set of related FFBRS transfomations that is derivable from infinitesimal FBRS. We suggest possible applications.

Keywords

Cite

@article{arxiv.hep-th/9812101,
  title  = {Relating Green's Functions in Axial and Lorentz Gauges using Finite Field-Dependent BRS Transformations},
  author = {S. D. Joglekar and A. Misra},
  journal= {arXiv preprint arXiv:hep-th/9812101},
  year   = {2009}
}

Comments

20 pages, LaTex, Section 4 expanded, typos corrected; last 2 references modified; (this) revised version to appear in J. Math. Phys