6533b833fe1ef96bd129b67f

RESEARCH PRODUCT

The radiation class: a set of temporal gauges

Martin LavelleDavid Mcmullan

subject

PhysicsIntroduction to gauge theoryQuantum gauge theoryWilson loopPhysics and Astronomy (miscellaneous)High Energy Physics::LatticeHigh Energy Physics::PhenomenologyHigh Energy Physics::TheoryTheoretical physicsClassical mechanicsHamiltonian lattice gauge theorySupersymmetric gauge theoryLattice gauge theoryEngineering (miscellaneous)Gauge anomalyGauge fixing

description

We present in a path integral framework a 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 fixingsis “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 some gaugeinvariant results of perturbation theory. Although Landshoff's α 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.

https://doi.org/10.1007/bf01566703