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

S. M. Kuzenko·I. N. McArthur
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Abstract

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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S. M. Kuzenko, I. N. McArthur. 2003-07-11. On the Background Field Method Beyond One Loop: A manifestly covariant derivative expansion in super Yang-Mills theories. https://doi.org/10.1088/1126-6708%2F2003%2F05%2F015

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