Entanglement entropy of a massive fermion on a torus

Journal of High Energy Physics

Volumn 2013, Issue 3, 2013, Pages

  Herzog, Christopher P ^a   Nishioka, Tatsuma ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Conformal and W Symmetry; Field Theories in Lower Dimensions

Indexed keywords

EID: 84876212921     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2013)077     Document Type: Article

References (36)

1. H. Casini and M. Huerta, A c-theorem for the entanglement entropy, J. Phys. A 40 (2007) 7031 [ cond-mat/0610375 ] [ INSPIRE ].
2. H. Casini and M. Huerta, On the RG running of the entanglement entropy of a circle, Phys. Rev. D 85 (2012) 125016 [ arXiv:1202.5650 ] [ INSPIRE ].
3. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [ hep-th/0603001 ] [ INSPIRE ].
4. S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [ hep-th/0605073 ] [ INSPIRE ]. (Pubitemid 44330349)
5. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [ hep-th/9711200 ] [ INSPIRE ].
6. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [ hep-th/9802109 ] [ INSPIRE ].
7. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [ hep-th/9802150 ] [ INSPIRE ].
8. P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory, J. Phys. A 42 (2009) 504005 [ arXiv:0905.4013 ] [ INSPIRE ].
9. I. Peschel and V. Eisler, Reduced density matrices and entanglement entropy in free lattice models, J. Phys. A 42 (2009) 504003 [ arXiv:0906.1663 ].
10. H. Casini and M. Huerta, Entanglement entropy in free quantum field theory, J. Phys. A 42 (2009) 504007 [ arXiv:0905.2562 ] [ INSPIRE ].
11. T. Nishioka, S. Ryu and T. Takayanagi, Holographic entanglement entropy: an overview, J. Phys. A 42 (2009) 504008 [ arXiv:0905.0932 ] [ INSPIRE ].
12. T. Takayanagi, Entanglement entropy from a holographic viewpoint, Class. Quant. Grav. 29 (2012) 153001 [ arXiv:1204.2450 ] [ INSPIRE ].
13. C.P. Herzog and M. Spillane, Tracing through scalar entanglement, Phys. Rev. D 87 (2013) 025012 [ arXiv:1209.6368 ] [ INSPIRE ].
14. H. Casini, C. Fosco and M. Huerta, Entanglement and alpha entropies for a massive Dirac field in two dimensions, J. Stat. Mech. 0507 (2005) P07007 [ cond-mat/0505563 ] [ INSPIRE ]. (Pubitemid 41169097)
15. P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory, J. Stat. Mech. 0406 (2004) P06002 [ hep-th/0405152 ] [ INSPIRE ].
16. V. Korepin, Universality of entropy scaling in one dimensional gapless models, Phys. Rev. Lett. 92 (2004) 96402.
17. J. Cardy, O. Castro-Alvaredo and B. Doyon, Form factors of branch-point twist fields in quantum integrable models and entanglement entropy, J. Statist. Phys. 130 (2008) 129 [ arXiv:0706.3384 ] [ INSPIRE ].
18. B. Doyon, Bi-partite entanglement entropy in massive two-dimensional quantum field theory, Phys. Rev. Lett. 102 (2009) 031602 [ arXiv:0803.1999 ] [ INSPIRE ].
19. H. Casini and M. Huerta, Reduced density matrix and internal dynamics for multicomponent regions, Class. Quant. Grav. 26 (2009) 185005 [ arXiv:0903.5284 ] [ INSPIRE ].
20. 1, Phys. Rev. D 77 (2008) 064005 [ arXiv:0710.2956 ] [ INSPIRE ].
21. N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi surfaces and entanglement entropy, JHEP 01 (2012) 125 [ arXiv:1111.1023 ] [ INSPIRE ].
22. S.R. Coleman, The quantum sine-Gordon equation as the massive thirring model, Phys. Rev. D 11 (1975) 2088 [ INSPIRE ].
23. S. Mandelstam, Soliton operators for the quantized sine-Gordon equation, Phys. Rev. D 11 (1975) 3026 [ INSPIRE ].
24. P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer, New York U.S.A. (1997), pg. 890.
25. M. Headrick, Entanglement Renyi entropies in holographic theories, Phys. Rev. D 82 (2010) 126010 [ arXiv:1006.0047 ] [ INSPIRE ].
26. W. Fischler, A. Kundu and S. Kundu, Holographic mutual information at finite temperature, arXiv:1212.4764 [ INSPIRE ].
27. A.B. Zamolodchikov, Mass scale in the sine-Gordon model and its reductions, Int. J. Mod. Phys. A 10 (1995) 1125 [ INSPIRE ].
28. S.L. Lukyanov and A.B. Zamolodchikov, Exact expectation values of local fields in quantum sine-Gordon model, Nucl. Phys. B 493 (1997) 571 [ hep-th/9611238 ] [ INSPIRE ].
29. D. Bernard and A. LeClair, Differential equations for sine-Gordon correlation functions at the free fermion point, Nucl. Phys. B 426 (1994) 534 [Erratum ibid. B 498 (1997) 619-621] [ hep-th/9402144 ] [ INSPIRE ].
30. B.-Q. Jin and V.E. Korepin, Quantum Spin Chain, Toeplitz Determinants and the Fisher-Hartwig Conjecture, J. Statist. Phys. 116 (2004) 79 [ quant-ph/0304108 ]. (Pubitemid 39129772)
31. A.R. Its and V.E. Korepin, The Fisher-Hartwig formula and generalized entropies in XY spin chain, J. Statist. Phys. 137 (2009) 1014 arXiv:0906.4511.
32. F. Franchini, A. Its and V. Korepin, Renyi entropy of the XY spin chain, J. Phys. A 41 (2008) 025302 [ arXiv:0707.2534 ] [ INSPIRE ].
33. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [ hep-th/9803131 ] [ INSPIRE ].
34. T. Nishioka and T. Takayanagi, AdS bubbles, entropy and closed string tachyons, JHEP 01 (2007) 090 [ hep-th/0611035 ] [ INSPIRE ].
35. I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [ arXiv:0709.2140 ] [ INSPIRE ].
36. A. Pakman and A. Parnachev, Topological entanglement entropy and holography, JHEP 07 (2008) 097 [ arXiv:0805.1891 ] [ INSPIRE ].