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

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

2004-05-08

arxiv.org/abs/hep-th/0405063v3

JHEP 0407 (2004) 011

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, JHEP style, 32 pages, typos corrected, references added

Scientific paper

10.1088/1126-6708/2004/07/011

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 $\Phi$ and derivative $D^2{\Phi}$ 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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