On the Background Field Method Beyond One Loop: A manifestly covariant derivative expansion in super Yang-Mills theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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32 pages, latex, 7 EPS figures. v2: references, comments added, typos corrected, incorrect `skeleton' conjecture in sect. 3 re

Scientific paper

10.1088/1126-6708/2003/05/015

There are currently many string inspired conjectures about the structure of the low-energy effective action for super Yang-Mills theories which require explicit multi-loop calculations. In this paper, we develop a manifestly covariant derivative expansion of superspace heat kernels and present a scheme to evaluate multi-loop contributions to the effective action in the framework of the background field method. The crucial ingredient of the construction is a detailed analysis of the properties of the parallel displacement propagators associated with Yang-Mills supermultiples in N-extended superspace.

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