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Worldline Path Integrals for Fermions with General Couplings

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arxiv hep-th/9512080 v2 pith:B3IB2OCT submitted 1995-12-11 hep-th hep-ph

classification hep-thhep-ph
keywords fermionsworldlinegeneralpathvectoractionantisymmetricaxial
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive a worldline path integral representation for the effective action of a multiplet of Dirac fermions coupled to the most general set of matrix-valued scalar, pseudoscalar, vector, axial vector and antisymmetric tensor background fields. By representing internal degrees of freedom in terms of worldline fermions as well, we obtain a formulation which manifestly exhibits chiral gauge invariance.

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Cited by 1 Pith paper

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  1. Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge

    hep-th 2025-05 conditional novelty 6.0 of 10

    For the 3d NJL model at large charge, the scaling dimension has a convergent small-q series and an asymptotic large-q series whose nonperturbative corrections are worldline-instanton terms e^{-α√q}.

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