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Gauge dependence of renormalization constants

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Beven, Terence Patrick (1981) Gauge dependence of renormalization constants. PhD thesis, University of Tasmania.

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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)
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

Date Deposited: 25 Nov 2014 00:40
Last Modified: 04 May 2016 00:16
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