Phase structure of non-commutative scalar field theories

Steven S. Gubser, Shivaji Lal Sondhi

Research output: Contribution to journalArticle

124 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)395-424
Number of pages30
JournalNuclear Physics B
Volume605
Issue number1-3
DOIs
StatePublished - Jul 2 2001

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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