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Gauge dependence of renormalization constants
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Abstract
This thesis presents a complete, self-contained
list of the renormalization constants Z in unified
gauge models to second order in the gauge coupling
constant g for four gauge choices. These are the
Lorentz covariant (parameter c) gauges, the axial and
Coulomb gauges, and a general non-covariant gauge
(parameter a2/b2).
Specific details of the calculation of the one-loop
infinities are provided. It is thus possible to
explicitly verify the Ward-Slavnov-Taylor identities
to this order. Comparisons are made which suggest
parallelisms between the non-covariant gauges and
certain covariant gauges. For instance, the infinities
in the axial gauge are exactly what one would find in
the Lorentz gauge with c = -3. Similarly, less clear
correspondences are found between the Coulomb and Fermi
(c = 1) gauges, and between a general non-covariant
gauge with a2/b2 = -3 and the Landau (c = 0) gauge.
Finally, we are able to present for every Lorentz
gauge an 'equivalent' non-covariant gauge, and viceversa.
Item Type: | Thesis - PhD |
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Authors/Creators: | Beven, Terence Patrick |
Keywords: | Lorentz groups, Renormalization (Physics), Gauge fields (Physics), Quantum electrodynamics |
Copyright Holders: | The Author |
Copyright Information: | Copyright 1981 the Author |
Additional Information: | Thesis (Ph.D.)--University of Tasmania, 1981. Includes bibliographical references |
Item Statistics: | View statistics for this item |
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