whole_Triyanta1992_thesis.pdf (4.17 MB)
The Fock-Schwinger gauge
thesisposted on 2023-05-27, 15:25 authored by Triyanta,
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.
Rights statementCopyright 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). Includes bibliographical references (p. 169). Thesis (Ph.D.)--University of Tasmania, 1992