The Radiation Class: a New Set of Temporal Gauges

Lavelle, Martin and McMullan, David (1992) The Radiation Class: a New Set of Temporal Gauges. (Preprint)

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Abstract

We present in a path integral framework a new class of gauges for QED that are both temporal and yet do not display the notorious singularity of the naive temporal gauge. These gauges follow from a generalised radiation gauge, where the Coulomb gauge fixing is “smeared” out. We show that the use of two gauge fixings necessitates the incorporation of gauge dependent Coulomb interactions. The correctness of our theory is demonstrated in two ways: we can reduce to the true degrees of freedom and we show that it reproduces electron-positron scattering in lowest order perturbation theory. Although Landshoff’s a prescription for the temporal gauge can be understood as a limit of our class, extra terms also appear. It is seen that these terms are necessary to obtain the periodic Wilson loop at finite temperature correctly.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:12
Last Modified: 19 Jul 2018 10:46
URI: http://dair.dias.ie/id/eprint/730

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