Real time correlations at finite Temperature for the Ising model

Details Real time correlations at finite Temperature for the Ising model Real time correlations at finite Temperature for the Ising model

1998-10-21

arxiv.org/abs/hep-th/9810160v1

Nucl.Phys.Proc.Suppl. 73 (1999) 778-780

Physics

High Energy Physics

High Energy Physics - Theory

3 pp in Latex, 2 ps Figs., presented at the Latt98 Conf. in Boulder Co

Scientific paper

10.1016/S0920-5632(99)85201-3

After having developed a method that measures real time evolution of quantum systems at a finite temperature, we present here the simplest field theory where this scheme can be applied to, namely the 1+1 Ising model. We will compute the probability that if a given spin is up, some other spin will be up after a time $t$, the whole system being at temperature $T$. We can thus study spatial correlations and relaxation times at finite $T$. The fixed points that enable the continuum real time limit can be easily found for this model. The ultimate aim is to get to understand real time evolution in more complicated field theories, with quantum effects such as tunneling at finite temperature.

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