Mutual information and the F-theorem
Mutual information is used as a purely geometrical regularization ofentanglement entropy applicable to any QFT. A coefficient in the mutualinformation between concentric circular entangling surfaces gives a preciseuniversal prescription for the monotonous quantity in the c-theorem for d=3.This is in...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/45342 |
| Acesso em linha: | http://hdl.handle.net/11336/45342 |
| Access Level: | acceso abierto |
| Palavra-chave: | Field Theories in Lower Dimensions Renormalization Group Topological Field Theories Conformal and W Symmetry https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | Mutual information is used as a purely geometrical regularization ofentanglement entropy applicable to any QFT. A coefficient in the mutualinformation between concentric circular entangling surfaces gives a preciseuniversal prescription for the monotonous quantity in the c-theorem for d=3.This is in principle computable using any regularization for the entropy, andin particular is a definition suitable for lattice models. We rederive theproof of the c-theorem for d=3 in terms of mutual information, and check ourarguments with holographic entanglement entropy, a free scalar field, and anextensive mutual information model. |
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