Absence of the Holographic Principle in Noncommutative Chern-Simons Theory

dc.contributor.author	Pinzul, A.
dc.contributor.author	Stern, Allen
dc.contributor.other	University of Alabama Tuscaloosa
dc.date.accessioned	2019-05-02T20:34:14Z
dc.date.available	2019-05-02T20:34:14Z
dc.date.issued	2001-12-03
dc.description.abstract	We examine noncommutative Chern-Simons theory on a bounded spatial domain. We argue that upon `turning on' the noncommutativity, the edge observables, which characterized the commutative theory, move into the bulk. We show this to lowest order in the noncommutativity parameter appearing in the Moyal star product. If one includes all orders, the hamiltonian formulation of the gauge theory ceases to exist, indicating that the Moyal star product must be modified in the presence of a boundary. Alternative descriptions are matrix models. We examine one such model, obtained by a simple truncation of Chern-Simons theory on the noncommutative plane, and express its observables in terms of Wilson lines.	en_US
dc.format.mimetype	application/pdf
dc.identifier.uri	http://ir.ua.edu/handle/123456789/5501
dc.subject	Chern-Simons Theories
dc.subject	Non-Commutative Geometry
dc.subject	Boundary Quantum Field Theory
dc.title	Absence of the Holographic Principle in Noncommutative Chern-Simons Theory	en_US
dc.type	text

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