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

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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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method 2 background 1

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years

2026 2 2025 1

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UNVERDICTED 3

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Euler-Heisenberg actions in higher dimensions

hep-th · 2026-04-15 · unverdicted · novelty 6.0

Closed-form higher-dimensional Euler–Heisenberg Lagrangians for spinor and scalar QED are obtained via extended Schwinger proper-time, with weak-field results in 6, 8, 10D and a d=6 Weyl-anomaly primary.

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