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The Singular Mechanics of Particles and Strings


Allen, Theodore John (1988) The Singular Mechanics of Particles and Strings. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hvjy-be63.


The quantum mechanics of singular systems is a topic of considerable importance for all the theories of elementary particle physics in which gauge invariance is a universal attribute. This is especially true for string theories which are gauge theories par excellence.

This thesis begins with a brief exposition of singular Hamiltonian mechanics. This tool is applied principally to manifestly supersymmetric particle and string theories. The Dirac particle and the bosonic particle and string are briefly examined. In particular, a method is shown for quantizing the point superparticle in four and ten dimensions. The two actions proposed for describing the manifestly supersymmetric string are shown to be essentially equivalent. The problems of their quantization are briefly discussed.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwarz, John H.
Group:Caltech Theory
Thesis Committee:
  • Schwarz, John H. (chair)
  • Frautschi, Steven C.
  • Preskill, John P.
  • Peck, Charles W.
Defense Date:29 April 1988
Funding AgencyGrant Number
Record Number:CaltechTHESIS:01172013-111439406
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7402
Deposited By: Benjamin Perez
Deposited On:17 Jan 2013 19:22
Last Modified:16 Apr 2021 23:10

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