$CP^N$ Model With a Chern-Simons Term

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages 2 figures (not included)

Scientific paper

The $CP^N$ model in three euclidean dimensions is studied in the presence of
a Chern-Simons term using the $1/N$ expansion. The $\beta$-function for the CS
coefficient $\theta$ is found to be zero to order $1/N$ in the unbroken phase
by an explicit calculation. It is argued to be zero to all orders. Some remarks
on the $\theta$ dependence of the critical exponents are also made.

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