Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-08-24
Nucl.Phys. B467 (1996) 272-296
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, Plain Tex, no macros needed, some minor changes and some references added
Scientific paper
10.1016/0550-3213(96)00125-3
A systematic derivation is given of the worldline path integrals for the effective action of a multiplet of Dirac fermions interacting with general matrix-valued classical background scalar, pseudoscalar, and vector gauge fields. The first path integral involves worldline fermions with antiperiodic boundary conditions on the worldline loop and generates the real part of the one loop (Euclidean) effective action. The second path integral involves worldline fermions with periodic boundary conditions and generates the imaginary part of the (Euclidean) effective action, i.e. the phase of the fermion functional determinant. Here we also introduce a new regularization for the phase of functional determinants resembling a heat-kernel regularization. Compared to the known special cases, our worldline Lagrangians have a number of new interaction terms; the validity of some of these terms is checked in perturbation theory. In particular, we obtain the leading order contribution (in the heavy mass expansion) to the Wess-Zumino-Witten term, which generates the chiral anomaly.
D'Hoker Eric
Gagne Darius
No associations
LandOfFree
Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-148617