Built on

L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, “On geometric entropy,” Phys. Lett. B 333
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer, New York U.S.A. (1997)
1997
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
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H. Casini, C. D. Fosco and M. Huerta, “Entanglement and alpha entropies for a massive Dirac field in two dimensions,” J. Stat. Mech. 0507
2005
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S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
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S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
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H. Casini and M. Huerta, “Analytic results on the geometric entropy for free fields,” J. Stat. Mech. 0801
Original
2008
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T. Azeyanagi, T. Nishioka and T. Takayanagi, “Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1),” Phys. Rev. D 77
Original
2008
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S. N. Solodukhin, “Entanglement entropy of black holes,” Living Rev. Rel. 14
Original
2011
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2019

Note on R\'{e}nyi entropy of 2D perturbed free fermions

Sun, Yuan, Sun, Jia-Rui

Understand

In this paper we study the R\'{e}nyi entropy of 2D massless free fermions perturbed by the $T\bar{T}$ term and the $J\bar{T}$ term at the first order perturbation.

Three cases, the vacuum state of infinite size system with $T\bar{T}$ perturbation, the excited states of finite size system with $T\bar{T}$ perturbation, and the vacuum state of infinite size system with $J\bar{T}$ perturbation, are analyzed.
We use the bosonization approach to calculate the perturbative expansions of R\'{e}nyi entropy.
In the bosonization language the twist operator is known explicitly, with which the computation of correlators in the perturbative expansion can be simply performed.

Built on

L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, “On geometric entropy,” Phys. Lett. B 333
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer, New York U.S.A. (1997)
1997
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
H. Casini, C. D. Fosco and M. Huerta, “Entanglement and alpha entropies for a massive Dirac field in two dimensions,” J. Stat. Mech. 0507
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
H. Casini and M. Huerta, “Analytic results on the geometric entropy for free fields,” J. Stat. Mech. 0801
Original
2008
Earlier work this paper cites.
T. Azeyanagi, T. Nishioka and T. Takayanagi, “Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1),” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy of black holes,” Living Rev. Rel. 14
Original
2011
Earlier work this paper cites.