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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, 22 figures, revtex

Scientific paper

10.1088/1126-6708/2001/05/049

We study the noncommutative $\phi^4$ 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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