Investigation on the holographic principle

dc.contributor.advisorFischler, Willyen
dc.creatorJiang, Lien
dc.date.accessioned2008-08-28T21:31:17Zen
dc.date.available2008-08-28T21:31:17Zen
dc.date.issued2003en
dc.descriptiontexten
dc.description.abstractThe holographic principle asserts that any given codimension two spacelike surface limits the information content of adjacent regions. We first review various entropy bounds which lead to the formulation of this conjecture, putting great emphasis on the UV-IR connection. We propose to use noncommutative field theory as a toy model to study the holographic mapping mechanism. In particular, we investigate how the fundamental dipole structure emerges in noncommutative gauge theories by using matrix formulation. The momentum dependent growing behavior of the dipoles can provide a simple way to map the bulk degrees of freedom onto the boundary. In the context of the AdS/CFT correspondence, which is the best known example of a holographic theory, we study the thermodynamics of N = 4 supersymmetric Yang-Mills theory at two-loop level and compare the result to the supergravity calculation. This provides an excellent example to illustrate the idea of strong/weak duality. Questions about a possible large N phase transition still remain unsolved.
dc.description.departmentPhysicsen
dc.format.mediumelectronicen
dc.identifierb56842570en
dc.identifier.oclc56138541en
dc.identifier.proqst3116094en
dc.identifier.urihttp://hdl.handle.net/2152/675en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshField theory (Physics)en
dc.subject.lcshHolographyen
dc.titleInvestigation on the holographic principleen
dc.type.genreThesisen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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