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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. © 1996 The American Physical SocietyJ. Gaite acknowledges support under Grant No. PB 92-1092.Peer Reviewe

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Field theory entropy, the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>theorem, and the renormalization group

Field theory entropy, theHtheorem, and the renormalization group