Quantization and eigenvalue distribution of noncommutative scalar field theory

TL;DR

This paper explores the quantization of noncommutative scalar field theory through matrix models, highlighting eigenvalue distributions, proposing a new renormalization framework, and predicting phase transitions in the -dimensional  model.

Contribution

It introduces a novel matrix model approach to noncommutative scalar field quantization, emphasizing eigenvalue distributions and phase transition predictions.

Findings

Eigenvalue distribution is crucial in noncommutative scalar field quantization.

A new framework for studying renormalization in noncommutative theories is proposed.

Phase transition and critical line behavior are predicted in 4D  model.

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 \phi^4 model. In 4-dimensions, the corresponding critical line is found to terminate at a non-trivial point.