Spacelike thermal correlators are almost time-independent
Abstract
We show that, in relativistic field theories, the thermal correlation function of N bosonic operators <O1(x1,t1) O2(x2,t2) .. ON(xN,tN)> at sufficiently spacelike-separated points shows exponentially weak dependence on the time variables t1,...,tN, when the space separations are held fixed. For classical thermal field theory, the time dependence vanishes when all points are spacelike separated
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