One loop fermion contribution to the effective potential for constant SU(2) Yang-Mills fields

1999/10/25 by Nistor Nicolaevici, Nicolaevici, Nistor
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9910186

9 pages, LaTeX

openalex publication_date 1999/10/25 · arxiv created 2000/03/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a series expansion for the one loop fermion contribution to the effective potential for constant A^a_μfields in SU(2) theory with a massive fermionic doublet. The series converges for bounded electric fields in terms of the magnetic fields and the gauge potentials. One finds that spontaneous fermion pair creation may be absent for arbitrary strong pure electric fields, with an appropriate choice of the classical currents.

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