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EnglishWe study the Rényi entropies of N disjoint intervals in the conformal field theories describing the free compactified boson and the Ising model. They are computed as the 2N-point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product state computations agree with the conformal field theory result once the finite size corrections have been taken into account. © 2014 IOP Publishing Ltd and SISSA Medialab srl.
On Rényi entropies of disjoint intervals in conformal field theory / Coser, A.; Tagliacozzo, L.; Tonni, E.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2014:1(2014), pp. 1-61. [10.1088/1742-5468/2014/01/P01008]
| Titolo: | On Rényi entropies of disjoint intervals in conformal field theory | |
| Autori: | Coser, A.; Tagliacozzo, L.; Tonni, E. | |
| Rivista: | ||
| Data di pubblicazione: | 2014 | |
| Volume: | 2014 | |
| Fascicolo: | 1 | |
| Pagina iniziale: | 1 | |
| Pagina finale: | 61 | |
| Numero di Articolo: | P01008 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1742-5468/2014/01/P01008 | |
| Fulltext via DOI: | https://doi.org/10.1088/1742-5468/2014/01/P01008 | |
| URL: | https://arxiv.org/abs/1309.2189 http://inspirehep.net/record/1253398 | |
| Appare nelle tipologie: | 1.1 Journal article |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 1309.2189v1.pdf | Preprint does not differ much from the accepted version | Documento in Pre-print | Non specificato | Open Access Visualizza/Apri |
http://hdl.handle.net/20.500.11767/33245
