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arXiv · hep-th/0006119

Phase structure of non-commutative scalar field theories

Steven S. Gubser·Shivaji L. Sondhi
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Abstract

We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent one-loop analysis indicates that the transition into these ordered phases is first order. The phase structure and the existence of scaling limits provides an alternative to the structure of counter-terms in determining the renormalizability of non-commutative field theories. On the basis of the existence of a critical point in the closely related planar theory, we argue that there are renormalizable interacting non-commutative scalar field theories in dimensions two and above. We exhibit this renormalization explicitly in the large $N$ limit of a non-commutative O(N) vector model.

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Steven S. Gubser, Shivaji L. Sondhi. 2001-02-12. Phase structure of non-commutative scalar field theories. https://doi.org/10.1016/s0550-3213(01)00108-0

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