Contribution to field theory

Bell, J. S. (1956). Contribution to field theory. University of Birmingham. Ph.D.

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Abstract

1. Time reversal in field theory.

Part 1. examines the reversibility in time of quantised fields. It is shown that reversibility of a certain kind (that of Schwinger) is a concomitant of Lorentz invariance, rather than an independent symmetry to be imposed on the theory.

2. Some functional methods in field theory.

Part 2. is an account, with some new applications, of work of T.H.R. Skyrme. First we derive his closed forms for propagators from canonical quantum theory, rather than from the Feynman quantization of classical fields. The discussion is then specialised to the one nucleon propagator and a variational method developed. With a very simple form of trial function this is applied to the no-recoil neutral scalar theory, where it is shown to give accurately that part of the propagator which describes the real nucleon. A similar approximation is then used in the pseudoscalar symmetric no-recoil theory, and found to give correctly the electrical properties of the nucleon in the weak and strong coupling limits. Finally a closely related trial function is used in the relativistic symmetric (P.S.,P.S.) theory, where we extend Skyrme’s work on the nucleon anomalous magnetic moments to obtain also the so-called "neutron-electron interaction".

Type of Work:	Thesis (Doctorates > Ph.D.)
Award Type:	Doctorates > Ph.D.
College/Faculty:	Faculties (to 1997) > Faculty of Science
School or Department:	Department of Mathematical Physics
Funders:	Other
Other Funders:	Atomic Energy Research Establishment (AERE), Harwell Laboratory
Subjects:	Q Science > QC Physics
URI:	http://etheses.bham.ac.uk/id/eprint/17501

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