Analytic structure of meson propagators in the proper-time regularized Nambu--Jona-Lasinio model
High Energy Physics - Phenomenology
2015-06-25 v3
Abstract
We analyze the analytic structure of meson propagators in the Nambu--Jona-Lasinio model with a proper-time regulator. We show that the regulator produces unphysical complex singularities. As a result the naive use of the Wick rotation is no longer allowed. Formulas involving integration over mesonic momenta, such as meson-loop contributions or dispersion relations for meson Green's functions, cannot be written in usual forms.
Keywords
Cite
@article{arxiv.hep-ph/9509363,
title = {Analytic structure of meson propagators in the proper-time regularized Nambu--Jona-Lasinio model},
author = {W. Broniowski and G. Ripka and E. Nikolov and K. Goeke},
journal= {arXiv preprint arXiv:hep-ph/9509363},
year = {2015}
}
Comments
revised version