Entropic C-theorems in free and interacting two-dimensional field theories

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dc.creatorGaite, Jose
dc.date1998-10-14
dc.date1999-11-02
dc.date.accessioned2026-07-07T12:03:54Z
dc.date.available2026-07-07T12:03:54Z
dc.descriptionThe relative entropy in two-dimensional field theory is studied on a cylinder geometry, interpreted as finite-temperature field theory. The width of the cylinder provides an infrared scale that allows us to define a dimensionless relative entropy analogous to Zamolodchikov's $c$ function. The one-dimensional quantum thermodynamic entropy gives rise to another monotonic dimensionless quantity. I illustrate these monotonicity theorems with examples ranging from free field theories to interacting models soluble with the thermodynamic Bethe ansatz. Both dimensionless entropies are explicitly shown to be monotonic in the examples that we analyze.
dc.description34 pages, 3 figures (8 EPS files), Latex2e file, continuation of hep-th/9710241; rigorous analysis of sufficient conditions for universality of the dimensionless relative entropy, more detailed discussion of the relation with Zamolodchikov's theorem, references added; to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/9810107
dc.identifierhttp://arxiv.org/abs/hep-th/9810107
dc.identifierPhys.Rev.D61:045006,2000
dc.identifierdoi:10.1103/PhysRevD.61.045006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207951
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleEntropic C-theorems in free and interacting two-dimensional field theories
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