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Abstract

The gauge technique is a nonperturbative scheme for solving the
field equations in gauge theories. This thesis is devoted towards
understanding and extending the approximation procedures in the gauge
technique. In the past the lowest order approximation consisted in only
taking into account the longitudinal amplitudes; we have succeeded in
generalizing it to incorporate transverse corrections for arbitrary
covariant gauges in the context of electrodynamics. As a consequence the
nonperturbative results are exact to order e 4 , and the gauge invariance
of the vacuum polarization is correspondingly restored by the refined
technique.
Contrary to common belief, we have also found that the radiative
corrections to the gluon propagator lie solely in the contributions of
transverse vertices. Thus in principle the lowest order gauge technique
is not readily applicable to the gluon sector of quantum chromodynamics.
Finally we have shown that in two-dimensional electrodynamics
(massless Schwinger model) the gauge technique produces exact results
because one is able to solve the vector and axial Ward-Takahashi identities
uniquely. In this way it is possible to obtain the complete solution for
any linear gauge at any temperature.

Item Type:	Thesis - PhD
Authors/Creators:	Zhang, Ruibin
Keywords:	Gauge fields (Physics)
Copyright Holders:	The Author
Copyright Information:	Copyright 1985 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:	Thesis (Ph.D.)--University of Tasmania, 1986. Bibliography: leaves 148-155
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