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Relative entropy in 2D quantum field theory, finite-size corrections, and irreversibility of the renormalization group

AuthorsGaite, José
Keywords[PACS] Critical point phenomena
[PACS] Renormalization
[PACS] Field theories in dimensions other than four
Issue Date1998
PublisherAmerican Physical Society
CitationPhysical Review Letters 81: 3587- 3590 (1998)
AbstractThe 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 monotonie quantity similar to Zamolodchikov's c function. On the other hand, the one-dimensional quantum thermodynamic entropy also leads to a monotonie quantity, with different properties. The relation of thermodynamic quantities with the complex components of the stress tensor is also established and hence the entropie c theorems are proposed as analogs of Zamolodchikov's c theorem for the cylinder geometry. © 1998 The American Physical Society
Identifiersdoi: 10.1103/PhysRevLett.81.3587
issn: 0031-9007
Appears in Collections:(CFMAC-IFF) Artículos
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