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A self-consistent formulation of quantum field theory on S{sub 4}

Technical Report:

Abstract

In this paper, a consistent formulation of field theory on a four-sphere was constructed and a method from which various amplitudes may be calculated is described. The standard results of quantum electrodynamics are derived, providing a valuable check on the validity of this approach, as well as allowing a direct comparison between this and previous work done in the area. It is believed that the matrix element approach offers a new way to deal with some of the more troublesome aspects of previous calculations. In particular one can easily handle the transverse part of the photon propagator which had made the (1 - {alpha}) gauge parts difficult to calculate. However the main advantage of this method is the ability to compute functions which involve the contraction of indices across different {eta} integrals. This tends to happen when one has derivative couplings such as those in scalar electrodynamics. 12 refs., 3 figs.
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
UM-P-91/87
Reference Number:
SCA: 662100; PA: AIX-23:009353; SN: 92000619896
Resource Relation:
Other Information: PBD: [1991]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MATHEMATICAL SPACE; MATRIX ELEMENTS; SPHERICAL CONFIGURATION; QUANTUM FIELD THEORY; ANGULAR MOMENTUM OPERATORS; QUANTIZATION; QUANTUM ELECTRODYNAMICS; RENORMALIZATION; SPACE-TIME; 662100; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10104169
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE92613081; TRN: AU9112345009353
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
45 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Harris, B A, and Joshi, G C. A self-consistent formulation of quantum field theory on S{sub 4}. Australia: N. p., 1991. Web.
Harris, B A, & Joshi, G C. A self-consistent formulation of quantum field theory on S{sub 4}. Australia.
Harris, B A, and Joshi, G C. 1991. "A self-consistent formulation of quantum field theory on S{sub 4}." Australia.
@misc{etde_10104169,
title = {A self-consistent formulation of quantum field theory on S{sub 4}}
author = {Harris, B A, and Joshi, G C}
abstractNote = {In this paper, a consistent formulation of field theory on a four-sphere was constructed and a method from which various amplitudes may be calculated is described. The standard results of quantum electrodynamics are derived, providing a valuable check on the validity of this approach, as well as allowing a direct comparison between this and previous work done in the area. It is believed that the matrix element approach offers a new way to deal with some of the more troublesome aspects of previous calculations. In particular one can easily handle the transverse part of the photon propagator which had made the (1 - {alpha}) gauge parts difficult to calculate. However the main advantage of this method is the ability to compute functions which involve the contraction of indices across different {eta} integrals. This tends to happen when one has derivative couplings such as those in scalar electrodynamics. 12 refs., 3 figs.}
place = {Australia}
year = {1991}
month = {Dec}
}