Relative entropy in 2d Quantum Field Theory, finite-size corrections and irreversibility of the Renormalization Group

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dc.creatorGaite, J.
dc.date1997-10-30
dc.date1998-09-10
dc.date.accessioned2026-07-07T12:03:52Z
dc.date.available2026-07-07T12:03:52Z
dc.descriptionThe relative entropy in two-dimensional Field Theory is studied for its application as an irreversible quantity under the Renormalization Group, relying on a general monotonicity theorem for that quantity previously established. In the cylinder geometry, interpreted as finite-temperature field theory, one can define from the relative entropy a monotonic quantity similar to Zamolodchikov's c function. On the other hand, the one-dimensional quantum thermodynamic entropy also leads to a monotonic quantity, with different properties. The relation of thermodynamic quantities with the complex components of the stress tensor is also established and hence the entropic c theorems are proposed as analogues of Zamolodchikov's c theorem for the cylinder geometry.
dc.description5 pages, Latex file, revtex, reorganized to best show the generality of the results, version to appear in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/hep-th/9710241
dc.identifierhttp://arxiv.org/abs/hep-th/9710241
dc.identifierPhys.Rev.Lett.81:3587-3590,1998
dc.identifierdoi:10.1103/PhysRevLett.81.3587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207941
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleRelative entropy in 2d Quantum Field Theory, finite-size corrections and irreversibility of the Renormalization Group
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