Aging logarithmic Galilean field theories

作者：Hyun Seungjoon; Jeong Jaehoon; Kim Bom Soo^*

来源：Nuclear Physics B, 2013, 874(1): 358-385.

DOI：10.1016/j.nuclphysb.2013.05.018

We analytically compute correlation and response functions of scalar operators for the systems with Galilean and corresponding aging symmetries for general spatial dimensions d and dynamical exponent z, along with their logarithmic and logarithmic squared extensions, using the gauge/gravity duality. These non-conformal extensions of the aging geometry are marked by two dimensionful parameters, eigenvalue M of an internal coordinate and aging parameter alpha. %26lt;br%26gt;We further perform systematic investigations on two-time response functions for general d and z, and identify the growth exponent as a function of the scaling dimensions Delta of the dual field theory operators and aging parameter alpha in our theory. The initial growth exponent is only controlled by Delta, while its late time behavior by alpha as well as Delta. These behaviors are separated by a time scale order of the waiting time. We attempt to make contact our results with some field theoretical growth models, such as Kim-Kosterlitz model at higher number of spatial dimensions d.

• 出版日期2013-9-1