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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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arxiv hep-th/0302205 v3 pith:7HNRMTVS submitted 2003-02-26 hep-th

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

classification hep-th
keywords yang-millsactionbackgroundcovariantderivativeeffectiveexpansionfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Closed-form expression for the six-dimensional Euler-Heisenberg action in QED is derived via extended proper-time methods, with pair production analysis in d dimensions and a dimension-6 conformal primary determining ...

  3. Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature

    hep-ph 2026-04 unverdicted novelty 6.0

    Matchotter automates one-loop finite-temperature dimensional reduction and supersoft matching for generic Lagrangians using functional techniques.

  4. Euler-Heisenberg actions in higher dimensions

    hep-th 2026-04 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.