Aging logarithmic Galilean field theories

Seungjoon Hyun, Jaehoon Jeong, Bom Soo Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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 α. 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 δ of the dual field theory operators and aging parameter α in our theory. The initial growth exponent is only controlled by δ, while its late time behavior by α as well as δ. 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.

Original languageEnglish
Pages (from-to)358-385
Number of pages28
JournalNuclear Physics B
Volume874
Issue number1
DOIs
Publication statusPublished - 2013 Sep 1

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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