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Abstract

This thesis is a self-contained treatise on the application
of the Gauge Technique (GT) - a non-perturbative, self-consistent
method for calculating gauge field theory Green functions - to
Spinor and Scalar Electrodynamics. It includes a discussion
of the elements that form the method, and a thorough review of
the technique's development and uses.
The simplest and most primitive version of the GT determines
the "longitudinal" components of the photon-amputated, connected,
Green functions and efficiently reproduces the exact infra-red
behaviour as well as the ultra-violet behaviour of the source
2-point functions; it is only gauge covariant in these asymptotic
regimes. We present a new algorithm for extending the GT beyond
the simplest version. The algorithm introduces transverse
corrections into the GT in an intrinsically non-perturbative way
and is a significant improvement on previously advocated methods.
These transverse corrections (exact to order e4) are vital for
restoring gauge covariance in subasymptotic momentum regimes and
do not disturb the asymptotic results.

Item Type:	Thesis - PhD
Authors/Creators:	Parker, Christopher Nicholas
Keywords:	Gauge fields (Physics), Electrodynamics, Spinor analysis, Scalar field theory
Copyright Holders:	The Author
Copyright Information:	Copyright 1983 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, 1984. Includes bibliographical references
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