### 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 language | English |
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Article number | 106005 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 82 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2010 Nov 10 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*82*(10), [106005]. https://doi.org/10.1103/PhysRevD.82.106005

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*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 82, no. 10, 106005. https://doi.org/10.1103/PhysRevD.82.106005

**Shear spectral sum rule in a nonconformal gravity dual.** / Springer, Todd; Gale, Charles; Jeon, Sangyong; Lee, Su Houng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Shear spectral sum rule in a nonconformal gravity dual

AU - Springer, Todd

AU - Gale, Charles

AU - Jeon, Sangyong

AU - Lee, Su Houng

PY - 2010/11/10

Y1 - 2010/11/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78651268062&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651268062&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.106005

DO - 10.1103/PhysRevD.82.106005

M3 - Article

AN - SCOPUS:78651268062

VL - 82

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

M1 - 106005

ER -