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Chiral effective potential in ${\cal N}={1/2}$ non-commutative Wess-Zumino model

A. T. Banin·I. L. Buchbinder·N. G. Pletnev
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Abstract

We study a structure of holomorphic quantum contributions to the effective action for ${\cal N}={1/2}$ noncommutative Wess-Zumino model. Using the symbol operator techniques we present the one-loop chiral effective potential in a form of integral over proper time of the appropriate heat kernel. We prove that this kernel can be exactly found. As a result we obtain the exact integral representation of the one-loop effective potential. Also we study the expansion of the effective potential in a series in powers of the chiral superfield $Φ$ and derivative $D^2Φ$ and construct a procedure for systematic calculation of the coefficients in the series. We show that all terms in the series without derivatives can be summed up in an explicit form.

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A. T. Banin, I. L. Buchbinder, N. G. Pletnev. 2004-05-21. Chiral effective potential in ${\cal N}={1/2}$ non-commutative Wess-Zumino model. https://doi.org/10.1088/1126-6708%2F2004%2F07%2F011

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