Connecting Green functions in an arbitrary pair of gauges and an application to planar gauges (Q2783571)
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scientific article; zbMATH DE number 1730570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Connecting Green functions in an arbitrary pair of gauges and an application to planar gauges |
scientific article; zbMATH DE number 1730570 |
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17 September 2002
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Green function
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gauge theory
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planar gauge
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axial gauge
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Landau gauge
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Yang-Mills path integrals
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Faddeev-Popov effective actions
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Connecting Green functions in an arbitrary pair of gauges and an application to planar gauges (English)
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The author determines a finite field-dependent BRS transformation that connects the Yang-Mills path integrals with the Faddeev-Popov effective actions for an arbitrary pair of gauges \(F\) and \(F'\). If is established a result that relates an arbitrary Green function (either a primary one or that of an operator) in an arbitrary gauge \(F^\prime\) to those in gauge \(F\) that are compatible to the ones in gauge \(F\) by its construction. This is possible, since the construction preserves expectation values of gauge-invariant observables. Furthermore, there are developed the results for connecting the Green functions in planar gauges to those in Landau gauge and for connecting the vacuum expectation of gauge-invariant observable in planar gauges, to those in Lorentz gauges.
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