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Extending the theory of random surfaces

Citation

Schmidhuber, Christof (1993) Extending the theory of random surfaces. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:01082013-113837650

Abstract

The theory of embedded random surfaces, equivalent to two-dimensional quantum gravity coupled to matter, is reviewed, further developed and partly generalized to four dimensions. It is shown that the action of the Liouville field theory that describes random surfaces contains terms that have not been noticed previously. These terms are used to explain the phase diagram of the Sine-Gordon model coupled to gravity, in agreement with recent results from lattice computations. It is also demonstrated how the methods of two- dimensional quantum gravity can be applied to four-dimensional Euclidean gravity in the limit of infinite Weyl coupling. Critical exponents are predicted and an analog of the "c = 1 barrier" of two-dimensional gravity is derived.

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:Restricted to Caltech community only
Research Advisor(s):
  • Schwarz, John H.
Group:Caltech Theory
Thesis Committee:
  • Unknown, Unknown
Defense Date:14 May 1993
Record Number:CaltechTHESIS:01082013-113837650
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:01082013-113837650
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7378
Collection:CaltechTHESIS
Deposited By: John Wade
Deposited On:08 Jan 2013 21:07
Last Modified:31 Jul 2017 19:31

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