2010/06/30 by Todd Springer, Charles Gale, Sangyong Jeon +1 · 14 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cauchy stress tensor #Classical mechanics #Computation #Conformal map #Context (archaeology) #Cosmology and Gravitation Theories #Dual (grammatical number) #High-Energy Particle Collisions Research #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Sum rule in quantum mechanics #Theoretical physics #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.82.106005
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(10) (American Physical Society) · 13 pages, 3 figures. v5: Typos in Eq. (60) fixed. v4: References added, matches published version. v3: Minor typographical corrections. v2: References and some discussion in Appendix A have been added; conclusions unchanged
openalex publication_date 2010/11/10 · arxiv created 2011/01/17 · arxiv updated 2011/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.