Expressing entropy globally in terms of (4D) field-correlations
We have expressed the entropy of a scalar field directly in terms of its spacetime correlation function, assuming that the higher correlators are of "Gaussian" form. The resulting formula associates an entropy to any spacetime region, and when this region is globally hyperbolic with Cauchy...
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| Veröffentlicht in: | Journal of physics. Conference series 2014-03, Vol.484 (1), p.12004-9 |
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| creator | Sorkin, R D |
| description | We have expressed the entropy of a scalar field directly in terms of its spacetime correlation function, assuming that the higher correlators are of "Gaussian" form. The resulting formula associates an entropy to any spacetime region, and when this region is globally hyperbolic with Cauchy surface then the entropy can be interpreted as the entropy of the reduced density-matrix belonging to the Cauchy surface. One acquires, in particular, a new expression for the entropy of entanglement across an event-horizon. Thanks to its spacetime character, this expression makes sense in a causal set as well as in a continuum spacetime. |
| doi_str_mv | 10.1088/1742-6596/484/1/012004 |
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| source | Institute of Physics Open Access Journal Titles; Institute of Physics IOPscience extra; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| subjects | Continuums Correlation Correlators Entanglement Entropy Event horizon Gaussian Physics Scalars Spacetime |
| title | Expressing entropy globally in terms of (4D) field-correlations |
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