Phase structure of non-commutative scalar field theories

By S. Gubser, Shiv Sondhi. 2000

157 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/26194c04260430f25956e057abe5db4e60eff505

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Noncommutative field theory (2001, methodology): “…in thermal field theory, in that they give a large effective mass to low momentum modes (we will discuss this point further below), and can be addressed by similar techniques (Fischler, Gomis, Gorbatov, Kashani- Poor, Paban, and Pouliot 2000a; Gubser and Sondhi 2000; Griguolo and Pietroni 2001a).”