Worldline path integrals for fermions with general couplings

1995/12/20 by Eric D'Hoker, Darius G. Gagne, Darius G Gagné · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00126-5

published as Nucl.Phys. B467 (1996) 297-312 · 17 pages, Plain Tex, no macros needed; corrections to references and to a formula

arxiv created 1995/12/20 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• On the Calculation of Effective Actions by String Methods
• The geometry of string perturbation theory

Cited by

• Worldline formalism in a gravitational background
• Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions
• The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields
• Sizable CP violation in the bosonized Standard Model