Chiral effective potential in N=1/2 non-commutative Wess-Zumino model
May, 2004
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Abstract:
We study a structure of holomorphic quantum contributions to the effective action for 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 and derivative 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.Note:
- LaTeX, JHEP style, 32 pages, typos corrected, references added
- supersymmetry: fractional
- Wess-Zumino model
- differential geometry: noncommutative
- effective potential: chiral
- perturbation theory: higher-order
- regularization: heat kernel
- bibliography
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