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Comments on the renormalizability of the Broken Phase in Noncommutative Scalar Field Theory

S. Sarkar·B. Sathiapalan
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Abstract

We study the noncommutative $ϕ^4$ theory with spontaneously broken global O(2) symmetry in 4 dimensions. We demonstrate the renormalizability at one loop. This does not require any choice of ordering of the fields in the interaction terms. It involves regulating the ultraviolet and infrared divergences in a manner consistent with the Ward identities.

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S. Sarkar, B. Sathiapalan. 2001-04-11. Comments on the renormalizability of the Broken Phase in Noncommutative Scalar Field Theory. https://doi.org/10.1088/1126-6708%2F2001%2F05%2F049

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