Built on

T. Hartman and S. A. Hartnoll, “Cooper pairing near charged black holes,” arXiv:1003.1918 [hep-th]
Original
1918
Earlier work this paper cites.
F. Bloch, “Zur theorie des ferromagnetismus,” Z. Phys. 61
1930
Earlier work this paper cites.
S. Coleman, “There are no Goldstone bosons in two dimensions,” Commun. Math. Phys. 31
1967
Earlier work this paper cites.
V. L. Berezinskii, Zh. Eksp. Teor. Fiz. 59
Original
1973
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, “Large-distance and long-time properties of a randomly stirred fluid,” Phys. Rev. A16
1977
Earlier work this paper cites.
E. Witten, “Chiral Symmetry, The 1/N Expansion, And The SU(N) Thirring Model,” Nucl. Phys. B 145
1978
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, “Wave propagation in gravitational systems: Late time behavior,” Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

N. C. Tsamis and R. P. Woodard, “Quantum Gravity Slows Inflation,” Nucl. Phys. B 474
1996
Cited alongside, same era.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Cited alongside, same era.
I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
Cited alongside, same era.
D. Marolf and A. W. Peet, “Brane baldness vs. superselection sectors,” Phys. Rev. D 60
1999
Cited alongside, same era.
A. W. Peet, “Baldness/delocalization in intersecting brane systems,” Class. Quant. Grav. 17
2000
Cited alongside, same era.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209

Then

S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, “Building a Holographic Superconductor,” Phys. Rev. Lett. 101
Original
2008
Later among the works it cites.
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, “Holographic Superconductors,” JHEP 0812
Original
2008
Later among the works it cites.
A. M. Polyakov, “De Sitter Space and Eternity,” Nucl. Phys. B 797
Original
2008
Later among the works it cites.
S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Class. Quant. Grav. 26
Original
2009
Later among the works it cites.
R. Gregory, S. Kanno and J. Soda, “Holographic Superconductors with Higher Curvature Corrections,” JHEP 0910
Original

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2010

Holography and the Coleman-Mermin-Wagner theorem

Anninos, Dionysios, Hartnoll, Sean A., Iqbal, Nabil

Understand

In 2+1 dimensions at finite temperature, spontaneous symmetry breaking of global symmetries is precluded by large thermal fluctuations of the order parameter.

The holographic correspondence implies that analogous effects must also occur in 3+1 dimensional theories with gauged symmetries in certain curved spacetimes with horizon.
By performing a one loop computation in the background of a holographic superconductor, we show that bulk quantum fluctuations wash out the classical order parameter at sufficiently large distance scales.
The low temperature phase is seen to exhibit algebraic long range order.

Built on

T. Hartman and S. A. Hartnoll, “Cooper pairing near charged black holes,” arXiv:1003.1918 [hep-th]
Original
1918
Earlier work this paper cites.
F. Bloch, “Zur theorie des ferromagnetismus,” Z. Phys. 61
1930
Earlier work this paper cites.
S. Coleman, “There are no Goldstone bosons in two dimensions,” Commun. Math. Phys. 31
1967
Earlier work this paper cites.
V. L. Berezinskii, Zh. Eksp. Teor. Fiz. 59
Original
1973
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, “Large-distance and long-time properties of a randomly stirred fluid,” Phys. Rev. A16
1977
Earlier work this paper cites.
E. Witten, “Chiral Symmetry, The 1/N Expansion, And The SU(N) Thirring Model,” Nucl. Phys. B 145
1978
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, “Wave propagation in gravitational systems: Late time behavior,” Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

N. C. Tsamis and R. P. Woodard, “Quantum Gravity Slows Inflation,” Nucl. Phys. B 474
1996
Cited alongside, same era.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Cited alongside, same era.
I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
Cited alongside, same era.
D. Marolf and A. W. Peet, “Brane baldness vs. superselection sectors,” Phys. Rev. D 60
1999
Cited alongside, same era.
A. W. Peet, “Baldness/delocalization in intersecting brane systems,” Class. Quant. Grav. 17
2000
Cited alongside, same era.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209