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

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

1998-12-12

arxiv.org/abs/hep-th/9812101v4

J.Math.Phys. 41 (2000) 1755-1767

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.533209

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.

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