One-loop determinant of Dirac operator in non-renormalizable models

1999/12/17 by A. A. Osipov, Brigitte Hiller, B. Hiller +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00106-4

published as Phys.Lett. B475 (2000) 324-328 · 8 pages, LaTex

arxiv created 1999/12/17 · openalex publication_date 2000/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use proper-time regularizations to define the one-loop fermion determinant in the form suggested by Gasser and Leutwyler some years ago. We show how to obtain the polynomial by which this definition of ln det D needs to be modified in order to arrive at the fermion determinant whose modulus is invarinat under chiral transformations. As an example it is shown how the fundamental symmetries associated with the NJL model are preserved in a consistent way.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Chiral perturbation theory to one loop
• Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons
• Anomalous Ward Identities in Spinor Field Theories