Shear spectral sum rule in a nonconformal gravity dual

Todd Springer, Charles Gale, Sangyong Jeon, Su Houng Lee

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

A sum rule which relates a stress-energy tensor correlator to thermodynamic functions is examined within the context of a simple nonconformal gravity dual. Such a sum rule was previously derived using AdS/CFT for conformal N=4 supersymmetric Yang-Mills theory, but we show that it does not generalize to the nonconformal theory under consideration. We provide a generalized sum rule and numerically verify its validity. A useful by-product of the calculation is the computation of the spectral density in a strongly coupled nonconformal theory. Qualitative features of the spectral densities and implications for lattice measurements of transport coefficients are discussed.

Original languageEnglish
Article number106005
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number10
DOIs
Publication statusPublished - 2010 Nov 10

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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