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Quantization and eigenvalue distribution of noncommutative scalar field theory

Harold Steinacker

hep-tharXiv:hep-th/0511076

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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