Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-26
Phys.Rev.D74:045010,2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 17 pages, typos corrected, reference added
Scientific paper
10.1103/PhysRevD.74.045010
We study a problem of systematical evaluation of the quantum corrections for general 4D supersymmetric K\"ahler sigma models with chiral and antichiral superpotentials. Using manifestly reparametrization covariant techniques (the background-quantum splitting and proper-time representation) in the ${\cal N}=1$ superspace we show how to define unambiguously the one-loop effective action. We introduce the reparametrization covariant derivatives acting on superfields and prove that their algebra is analogous to algebra in super Yang-Mills (SYM) theory. This analogy allows us to use for evaluation of the effective action in the theory under consideration methods developed for SYM theory. The divergencies for the model are obtained. It is shown that on general K\"ahler manifold the one-loop counterterms have the structure of a supersymmetric WZNW term. Leading finite contribution in covariant derivative expansion of the one-loop effective action (superfield $a_3$ coefficient) is calculated.
Banin A. T.
Buchbinder Ioseph L.
Pletnev N. G.
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