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Original
1971
Earlier work this paper cites.
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M. Kardar, G. Parisi and Y.-C. Zhang, “Dynamic Scaling of Growing Interfaces,”
1986
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1995
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A. M. Ghezelbash, M. Khorrami and A. Aghamohammadi, “Logarithmic conformal field theories and AdS correspondence,”
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M. Flohr, “Bits and pieces in logarithmic conformal field theory,”
2003
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Original
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2012

Aging Logarithmic Conformal Field Theory : a holographic view

Hyun, Seungjoon, Jeong, Jaehoon, Kim, Bom Soo

Understand

We consider logarithmic extensions of the correlation and response functions of scalar operators for the systems with aging as well as Schr\"odinger symmetry.

Aging is known to be the simplest nonequilibrium phenomena, and its physical significances can be understood by the two-time correlation and response functions.
Their logarithmic part is completely fixed by the bulk geometry in terms of the conformal weight of the dual operator and the dual particle number.
Motivated by recent experimental realizations of Kardar-Parisi-Zhang universality class in growth phenomena and its subsequent theoretical extension to aging, we investigate our two-time correlation functions out of equilibrium, which show several qualitatively different behaviors depending on the parameters in our theory.

Built on

H. Lu and C. N. Pope, “Critical Gravity in Four Dimensions,”
Original
1971
Earlier work this paper cites.
S. F. Edwards and D. R. Wilkiinson, “The Surface Statistics of a Granular Aggregate,”
1982
Earlier work this paper cites.
F. Family and T. Vicsek, “Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model,”
1985
Earlier work this paper cites.
M. Kardar, G. Parisi and Y.-C. Zhang, “Dynamic Scaling of Growing Interfaces,”
1986
Earlier work this paper cites.
A. L. Barabási and H. E. Stanley, “Fractal concepts in surface growth,”
1995
Earlier work this paper cites.
A. M. Ghezelbash, M. Khorrami and A. Aghamohammadi, “Logarithmic conformal field theories and AdS correspondence,”
1999
Earlier work this paper cites.
I. I. Kogan, “Singletons and logarithmic CFT in AdS / CFT correspondence,”
1999
Earlier work this paper cites.
Y. S. Myung and H. W. Lee, “Gauge bosons and the AdS(3) / LCFT(2) correspondence,”
1999
Earlier work this paper cites.
H. Hinrichsen, “Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States,”
2000
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,”
2000
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,”
2002
Earlier work this paper cites.
M. Flohr, “Bits and pieces in logarithmic conformal field theory,”
2003
Earlier work this paper cites.
M. R. Gaberdiel, “An algebraic approach to logarithmic conformal field theory,”
2003
Earlier work this paper cites.
E. G. Gimon, A. Hashimoto, V. E. Hubeny, O. Lunin and M. Rangamani, “Black strings in asymptotically plane wave geometries,”
2003
Earlier work this paper cites.
M. Alishahiha and O. J. Ganor, “Twisted backgrounds, PP waves and nonlocal field theories,”
2003
Earlier work this paper cites.
D. T. Son, “Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry,”
Original
2008
Earlier work this paper cites.