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Extending the theory of random surfaces


Schmidhuber, Christof (1993) Extending the theory of random surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1hwe-nn67.


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:Public (worldwide access)
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:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7378
Deposited On:08 Jan 2013 21:07
Last Modified:09 Nov 2022 19:20

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