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Journal of High Energy Physics

A non-perturbative approach to non-commutative scalar field theory

Author

Harold Steinacker 1

Affiliations

1 Department für Physik, Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333 München, Germany

E-mail

hsteinac@theorie.physik.uni-muenchen.de

Journal

Journal of High Energy Physics Create an alert RSS this journal

Issue

Volume 2005, JHEP03(2005)

Citation

Harold Steinacker JHEP03(2005)075

doi: 10.1088/1126-6708/2005/03/075


Article References Cited By Related Articles beta
 
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Abstract
Non-commutative euclidean scalar field theory is shown to have an eigenvalue sector which is dominated by a well-defined eigenvalue density, and can be described by a matrix model. This is established using regularizations of Bbb R2nθ via fuzzy spaces for the free and weakly coupled case, and extends naturally to the non-perturbative domain. It allows to study the renormalization of the effective potential using matrix model techniques, and is closely related to UV/IR mixing. In particular we find a phase transition for the phi4 model at strong coupling, to a phase which is identified with the striped or matrix phase. The method is expected to be applicable in 4 dimensions, where a critical line is found which terminates at a non-trivial point, with nonzero critical coupling. This provides evidence for a non-trivial fixed-point for the 4-dimensional NC phi4 model. 
Keywords

Nonperturbative Effects

Matrix Models

Non-Commutative Geometry

 

E-print Number: hep-th/0501174

Cited: by |

Refers: to

PACS

11.10.Nx Noncommutative field theory

02.10.Ud Linear algebra

11.25.Yb M theory

11.10.Gh Renormalization

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 03 (March 2005)

Received 10 February 2005 , accepted for publication 29 March 2005

Published 26 April 2005



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