Worldline Path Integrals for Fermions with General Couplings

Abstract

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.

17 pages, Plain Tex, no macros needed; corrections to references and to a formula

References in corpus (5)

• Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
• Loop calculations in quantum-mechanical non-linear sigma models sigma models with fermions and applications to anomalies
• Second Order Fermions in Gauge Theories
• Axial Couplings on the World-Line
• Yukawa Couplings for the Spinning Particle and the World Line Formalism

Cited by in corpus (53)

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