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The Fock-Schwinger gauge

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Triyanta, (1992) The Fock-Schwinger gauge. PhD thesis, University of Tasmania.

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Abstract

Unlike some other gauge choices the Fock-Schwinger gauge condition
x.A(x) = 0 uniquely fixes the gauge potentials in terms of the Maxwell fields
through the so-called inversion formula. Thus the Fock-Schwinger gauge potentials
in some simple configurations can be derived by making use of this
formula and contrasted with the familiar Coulomb gauge potentials. Two
important consequences are that Fock-Schwinger potentials of electrostatic
systems are no longer static and (unlike the Lorentz gauge potentials) that
Fock-Schwinger potentials corresponding to plane electromagnetic waves are
not plane waves.
To apply the Fock-Schwinger gauge to perturbation theory the gauge
propagator is first derived by the use of two different gauge fixing to the Lagrangian
mechanism. The first one corresponds to adding a gauge fixing term
while the second makes use of auxiliary or Lagrange multiplier fields. The
auxiliary method leads to two components of the propagator: the physical
and the unphysical. The physical component in the second method coincides
with the propagator in the first one. Symmetry properties of the above propagators
are also derived and provide considerable improvement of Kummer
and Weiser's analysis.
The fact that the Fock-Schwinger gauge theory is a ghost-free theory
enables one to derive the Slavnov-Taylor identities without using the language
of BRST transformations. Nevertheless BRST identities are also obtained.
The main focus and content of the thesis are perturbation calculations
in the Fock-Schwinger gauge. The most important one-loop corrections in
electrodynamics and chromodynamics have been computed and compared
with the more standard translation-invariant gauge choices. The on-mass-shell
equivalence of these calculacalculations with more conventional gauge choices
has been established in detail.

Item Type: Thesis (PhD)
Keywords: Gauge invariance
Copyright Information:

Copyright 1991 the author - The University is continuing to endeavour to trace the copyright owner(s) and in the meantime this item has been reproduced here in good faith. We would be pleased to hear from the copyright owner(s).

Additional Information:

Includes bibliographical references (p. 169). Thesis (Ph.D.)--University of Tasmania, 1992

Date Deposited: 04 Feb 2015 23:22
Last Modified: 09 Nov 2016 03:44
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