Field theory entropy, the H theorem, and the renormalization group
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 t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1996 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/102649 |
| Acceso en línea: | http://hdl.handle.net/10261/102649 |
| Access Level: | acceso abierto |
| Palabra clave: | [PACS] hermodynamic properties and entropy [PACS] Critical point phenomena [PACS] Renormalization-group, fractal, and percolation studies of phase transitions [PACS] Renormalization |
| Sumario: | 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 Society |
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