Fetching the paper…

Reading the bibliography…

Numerical study of entanglement entropy in SU(2) lattice gauge theory · Around

2008

Numerical study of entanglement entropy in SU(2) lattice gauge theory

Buividovich, P. V., Polikarpov, M. I.

Original
PDF
Post on X

Understand

The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory.

We find a signature of a nonanalytic behavior of the entanglement entropy, which was predicted recently for large N_c confining gauge theories in the framework of AdS/CFT correspondence.
The derivative of the entanglement entropy over l is likely to have a discontinuity at some l = l_c.
It is argued that such behavior persists even at finite temperatures, probably turning into a sort of crossover for temperatures larger than the temperature of the deconfinement phase transition.

Built on

S. W. Hawking, Comm. Math. Phys. 31
1973
Earlier work this paper cites.
J. D. Bekenstein, Physical Review D 12
1975
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Letters 43
1986
Earlier work this paper cites.
J. Kapusta, Finite-temperature field theory (Cambridge University Press, 1989)
Original
1989
Earlier work this paper cites.
M. Srednicki, Physical Review Letters 71
1993
Earlier work this paper cites.
J. Fingberg, U. Heller, and F. Karsch, Nuclear Physics B 392
1993
Earlier work this paper cites.
C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Physical Review A 53
1996
Earlier work this paper cites.

Similar

J. M. Maldacena, International Journal of Theoretical Physics 38
1997
Cited alongside, same era.
E. Witten, Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
I. R. Klebanov and M. J. Strassler, JHEP 0008
2000
Cited alongside, same era.
J. Polchinski and M. J. Strassler, Physical Review Letters 88
2002
Cited alongside, same era.
G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Physical Review Letters 90
2003
Cited alongside, same era.
P. Calabrese and J. Cardy, J. Stat. Mech. 0406
2004
Cited alongside, same era.
P. Calabrese and J. Cardy, Int.J.Quant.Inf. 4
2006

Then

A. Kitaev and J. Preskill, Physical Review Letters 96
2006
Later among the works it cites.
D. V. Fursaev, Physical Review D 73
2006
Later among the works it cites.
T. Nishioka and T. Takayanagi, JHEP 01
2007
Later among the works it cites.
I. R. Klebanov, D. Kutasov, and A. Murugan, Entanglement as a probe of confinement (2007), URL http://arxiv.org/abs/0709.2140
Original
2007
Later among the works it cites.
Z. Fodor, PoS(LAT2007) 011
Original
2007
Later among the works it cites.
G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, PoS(LAT2007) 228
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

T. J. Osborne and M. A. Nielsen, Quant.Inf.Proc. 1

Cited in the paper.

T. J. Osborne and M. A. Nielsen, Physical Review A 66

Cited in the paper.

S. Ryu and T. Takayanagi, Physical Review Letters 96

Cited in the paper.

S. Ryu and T. Takayanagi, JHEP 0608

Cited in the paper.

2007

Later among the works it cites.

A. Velytsky, Entanglement entropy in d+1 SU(N) gauge theory (2008), URL http://arxiv.org/abs/0801.4111

2008

Closest in time.