Built on

H. Goldstein, Classical Mechanics , Addison-Wesley, (1950)
1950
Earlier work this paper cites.
R. D. Sorkin, On the Entropy of the Vacuum Outside a Horizon , in Tenth International Conference on General Relativity and Gravitation (held Padova, 4-9 July, 1983), Contributed Papers, vol. 2, pp. 734736. (1983) arXiv:1402.3589 [gr-qc]
Original
1983
Earlier work this paper cites.
Luca Bombelli, Rabinder K. Koul, Joohan Lee, and Rafael D. Sorkin, A Quantum Source of Entropy for Black Holes , Phys. Rev. D34, 373-383 (1986)
1986
Earlier work this paper cites.
W. G. Unruh, Comment on “Proof of the Quantum Bound on Specific Entropy for Free Fields” , Phys. Rev. D 42, 3596, 1990
1990
Earlier work this paper cites.
E. Abdalla, M. Abdalla, and K. Rothe, Non-perturbative Methods in 2 Dimensional Quantum Field Theory . World Scientic Pub Co Inc, (1991)
1991
Earlier work this paper cites.
M. Srednicki, Entropy and Area , PRL 71 (1993) 666Ð669
1993
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement Entropy and Quantum Field Theory , J. Stat. Mech (2004), no. P06002
2004
Earlier work this paper cites.
H. Casini and M. Huerta, A Finite Entanglement Entropy and the c-theorem , Phys.Lett. B600 (2004) 142-150, arXiv:hep-th/0405111
2004
Earlier work this paper cites.
B.-Q. Jin and V. E. Korepin, Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture , J. Stat. Phys. 116, 79 (2004) [quant-ph/0304108]
2004
Earlier work this paper cites.

Similar

H. Casini and M. Huerta, Entanglement and Alpha Entropies for a Massive Scalar Field in Two Dimensions , J.Stat.Mech.0512:P12012, (2005), arXiv:cond-mat/0511014
2005
Cited alongside, same era.
A. R. Its, B.-Q. Jin, and V. E. Korepin, Entanglement in XY Spin Chain , J. Phys. A 38, 2975 (2005) [quant-ph/0409027]
2005
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from AdS/CFT , Phys. Rev. Lett. (2006), no. 96
2006
Cited alongside, same era.
A. Kitaev, J. Preskill, Topological Entanglement Entropy , Phys.Rev.Lett. 96 (2006) 110404, (2006) , arXiv:hep-th/0510092
2006
Cited alongside, same era.
M. Headrick and T. Takayanagi, A Holographic Proof of the Strong Subadditivity of Entanglement Entropy , Phys.Rev.D76:106013, (2007) arXiv:0704.3719 [hep-th]
Original
2007

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

Reading the bibliography…

2016

Yazdi, Yasaman K.

Ultraviolet divergences are widely discussed in studies of entanglement entropy.

Also present, but much less understood, are infrared divergences due to zero modes in the field theory.
In this note, we discuss the importance of carefully handling zero modes in entanglement entropy.
We give an explicit example for a chain of harmonic oscillators in 1D, where a mass regulator is necessary to avoid an infrared divergence due to a zero mode.

H. Goldstein, Classical Mechanics , Addison-Wesley, (1950)
1950
Earlier work this paper cites.
R. D. Sorkin, On the Entropy of the Vacuum Outside a Horizon , in Tenth International Conference on General Relativity and Gravitation (held Padova, 4-9 July, 1983), Contributed Papers, vol. 2, pp. 734736. (1983) arXiv:1402.3589 [gr-qc]
Original
1983
Earlier work this paper cites.
Luca Bombelli, Rabinder K. Koul, Joohan Lee, and Rafael D. Sorkin, A Quantum Source of Entropy for Black Holes , Phys. Rev. D34, 373-383 (1986)
1986
Earlier work this paper cites.
W. G. Unruh, Comment on “Proof of the Quantum Bound on Specific Entropy for Free Fields” , Phys. Rev. D 42, 3596, 1990
1990
Earlier work this paper cites.
E. Abdalla, M. Abdalla, and K. Rothe, Non-perturbative Methods in 2 Dimensional Quantum Field Theory . World Scientic Pub Co Inc, (1991)
1991
Earlier work this paper cites.
M. Srednicki, Entropy and Area , PRL 71 (1993) 666Ð669
1993
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement Entropy and Quantum Field Theory , J. Stat. Mech (2004), no. P06002
2004
Earlier work this paper cites.
H. Casini and M. Huerta, A Finite Entanglement Entropy and the c-theorem , Phys.Lett. B600 (2004) 142-150, arXiv:hep-th/0405111
2004
Earlier work this paper cites.
B.-Q. Jin and V. E. Korepin, Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture , J. Stat. Phys. 116, 79 (2004) [quant-ph/0304108]
2004
Earlier work this paper cites.

H. Casini and M. Huerta, Entanglement and Alpha Entropies for a Massive Scalar Field in Two Dimensions , J.Stat.Mech.0512:P12012, (2005), arXiv:cond-mat/0511014
2005
Cited alongside, same era.
A. R. Its, B.-Q. Jin, and V. E. Korepin, Entanglement in XY Spin Chain , J. Phys. A 38, 2975 (2005) [quant-ph/0409027]
2005
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from AdS/CFT , Phys. Rev. Lett. (2006), no. 96
2006
Cited alongside, same era.
A. Kitaev, J. Preskill, Topological Entanglement Entropy , Phys.Rev.Lett. 96 (2006) 110404, (2006) , arXiv:hep-th/0510092
2006
Cited alongside, same era.
M. Headrick and T. Takayanagi, A Holographic Proof of the Strong Subadditivity of Entanglement Entropy , Phys.Rev.D76:106013, (2007) arXiv:0704.3719 [hep-th]
Original
2007