Quantization and eigenvalue distribution of noncommutative scalar field theory

2005/11/07 by Harold Steinacker, Steinacker, Harold
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0511076

Talk presented at the II. Southeastern European Workshop BW 2005, Vrnjacka Banja, Serbia and the XIV. Workshop of Geometric Methods in Physics, Bialowieza, Poland. To appear in Facta Universitatis

arxiv created 2005/11/07 · arxiv updated 2009/12/01

Abstract

The quantization of noncommutative scalar field theory is studied from the matrix model point of view, exhibiting the significance of the eigenvalue distribution. This provides a new framework to study renormalization, and predicts a phase transition in the noncommutative ϕ⁴ model. In 4-dimensions, the corresponding critical line is found to terminate at a non-trivial point.

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