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.
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}
}
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}
}