We 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]

On Rényi entropies of disjoint intervals in conformal field theory

Coser, A.;Tonni, E.
2014

Abstract

We 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.
2014
1
1
61
P01008
https://doi.org/10.1088/1742-5468/2014/01/P01008
https://arxiv.org/abs/1309.2189
http://inspirehep.net/record/1253398
Coser, A.; Tagliacozzo, L.; Tonni, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/33245
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