Dissipative Field Theory with Caldeira-Leggett Method and its Application to Disoriented Chiral Condensation

Details Dissipative Field Theory with Caldeira-Leggett Method and its Application to Disoriented Chiral Condensation Dissipative Field Theory with Caldeira-Leggett Method and its Application to Disoriented Chiral Condensation

1997-07-07

arxiv.org/abs/nucl-th/9707012v1

Phys.Rev. D57 (1998) 1687-1693

Physics

Nuclear Physics

Nuclear Theory

16pages, ReV-TeX

Scientific paper

10.1103/PhysRevD.57.1687

The effective field theory including the dissipative effect is developed based on the Caldeira-Leggett theory at the classical level. After the integration of the small field fluctuations considered as the field radiation, the integro-differential field equation is given and shown to include the dissipative effects. In that derivation, special cares should be taken for the boundary condition of the integration. Application to the linear sigma model is given, and the decay process of the chiral condensate is calculated with it, both analytically in the linear approximation and numerically. With these results, we discuss the stability of chiral condensates within the quenched approximation.

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