English

Breakdown of Zero--Mode Approximation in the Instanton Vacuum

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

A new approach to effective theory of quarks in the instanton vacuum is presented. Exact equations for the quark propagator and Lagrangian are derived which contain contributions of all quark modes with known coefficients. The resulting effective Lagrangian resembles that of the Nambu--Jona--Lasinio model. The commonly used zero--mode approximation is shown to be invalid in the chiral limit.

Keywords

Cite

@article{arxiv.hep-ph/9609440,
  title  = {Breakdown of Zero--Mode Approximation in the Instanton Vacuum},
  author = {B. O. Kerbikov and D. S. Kuzmenko and Yu. A. Simonov},
  journal= {arXiv preprint arXiv:hep-ph/9609440},
  year   = {2007}
}

Comments

5 pages, no figures

R2 v1 2026-07-22T14:33:31.464Z