Field Theory Entropy, the $H$-theorem and the Renormalization Group

Details Field Theory Entropy, the $H$-theorem and the Renormalization Group Field Theory Entropy, the $H$-theorem and the Renormalization Group

1995-11-13

arxiv.org/abs/hep-th/9511090v2

Phys.Rev.D54:5163-5173,1996

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, plain TeX (macros included), 6 ps figures. Addition in title. Entropy of cutoff Gaussian model modified in section 4

Scientific paper

10.1103/PhysRevD.54.5163

We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a hierarchy of renormalization group fixed points ranks the fixed points, the lowest relative entropy being assigned to the highest multicritical point. We argue that as a consequence of a generalized $H$ theorem Wilsonian RG flows induce an increase in entropy and propose the relative entropy as the natural quantity which increases from one fixed point to another in more than two dimensions.

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