H. Yabu et T. Suzuki, DISSIPATIVE HELD THEORY WITH THE CALDEIRA-LEGGETT METHOD AND ITS APPLICATION TO DISORIENTED CHIRAL CONDENSATION, Physical review. D. Particles and fields, 57(3), 1998, pp. 1687-1693
The effective field theory including the dissipative effect is develop
ed based on the Caldeira-Leggett theory at the classical level. After
the integration of the small field fluctuations considered as the fiel
d radiation, the integrodifferential field equation is given and shown
to include dissipative effects. In that derivation, special care shou
ld be taken for the boundary condition of the integration. Application
to the linear a model is given, and the decay process of the chiral c
ondensate is calculated with it, both analytically in the linear appro
ximation and numerically. With these results, we discuss the stability
of chiral condensates within the quenched approximation.