Stochastic field evolution of disoriented chiral condensates

Details Stochastic field evolution of disoriented chiral condensates Stochastic field evolution of disoriented chiral condensates

2002-09-25

arxiv.org/abs/hep-lat/0209158v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 3 figures, contribution to the proceedings of Lattice02

Scientific paper

10.1016/S0920-5632(03)01624-4

I present a summary of recent work \cite{BRS} where we describe the time-evolution of a region of disoriented chiral condensate via Langevin field equations for the linear $\sigma$ model. We analyze the model in equilibrium, paying attention to subtracting ultraviolet divergent classical terms and replacing them by their finite quantum counterparts. We use results from lattice gauge theory and chiral perturbation theory to fix nonuniversal constants. The result is a ultraviolet cutoff independent theory that reproduces quantitatively the expected equilibrium behavior of pion and $\sigma$ quantum fields. We also estimate the viscosity $\eta(T)$, which controls the dynamical timescale in the Langevin equation, so that the near equilibrium dynamical response agrees with theoretical expectations.

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