Application of the Heat Kernel Method to the Constituent Quark Model at Finite Temperature

Preprint

5 June 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9706258

Abstract

The Heat Kernel Method is applied to the constituent quark model. We calculate the effect of thermal quark fluctuations on the meson action and the resulting quark condensate and pi pi-scattering amplitude at finite temperature. The quarks produce a chiral phase transition only by their effect on the mesonic coupling constants. The s-wave isospin zero pi pi-scattering amplitude diverges near the phase transition showing the necessity for a more sophisticated treatment of meson fluctuations.

Keywords

CONSTITUENT QUARK MODEL
SCATTERING AMPLITUDE
HEAT KERNEL METHOD
PHASE TRANSITION
KERNEL METHOD
QUARK MODEL

All Related Versions

Version 1, 1997-06-05, ArXiv
Published version: Nuclear Physics A, 627 (3), 481.

This publication has 0 references indexed in Scilit: