ANALYTIC STRUCTURE OF MESON PROPAGATORS IN THE PROPER-TIME REGULARIZED NAMBU-JONA-LASINIO MODEL

Authors
BRONIOWSKI W RIPKA G NIKOLOV EN GOEKE K
Citation
W. Broniowski et al., ANALYTIC STRUCTURE OF MESON PROPAGATORS IN THE PROPER-TIME REGULARIZED NAMBU-JONA-LASINIO MODEL, ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 354(4), 1996, pp. 421-429
Citations number
49
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI → ACNP
ISSN journal
09397922
Volume
354
Issue
4
Year of publication
1996
Pages
421 - 429
Database
ISI
SICI code
0939-7922(1996)354:4<421:ASOMPI>2.0.ZU;2-N
Abstract
We analyze the analytic structure of meson propagators in the Nambu-Jo na-Lasinio model with a proper-time regulator. We show that the regula tor produces unphysical complex singularities, As a result the naive u se of the Wick rotation is no longer allowed. Formulas involving integ ration over mesonic momenta, such as meson-loop contributions or dispe rsion relations for meson Green's functions, cannot be written in usua l forms.