Extending the Theory of Random Surfaces

dc.creatorSchmidhuber, Christof
dc.creatorthesis, Caltech Ph. D.
dc.date1993-08-26
dc.date.accessioned2026-07-07T04:19:37Z
dc.date.available2026-07-07T04:19:37Z
dc.descriptionThe 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.
dc.description75 pages, Tex
dc.identifierhttps://arxiv.org/abs/hep-th/9308121
dc.identifierhttp://arxiv.org/abs/hep-th/9308121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53633
dc.subjectHigh Energy Physics - Theory
dc.titleExtending the Theory of Random Surfaces
dc.typetext

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