# Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory

## Abstract

We use the gauge-gravity duality conjecture to compute spectral functions of the stress-energy tensor in finite-temperature N=4 supersymmetric Yang-Mills theory in the limit of large N{sub c} and large 't Hooft coupling. The spectral functions exhibit peaks characteristic of hydrodynamic modes at small frequency, and oscillations at intermediate frequency. The nonperturbative spectral functions differ qualitatively from those obtained in perturbation theory. The results may prove useful for lattice studies of transport processes in thermal gauge theories.

- Authors:

- KITP, University of California, Santa Barbara, California 93106 (United States)
- (Canada)

- Publication Date:

- OSTI Identifier:
- 20777128

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevLett.96.131601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DUALITY; GAUGE INVARIANCE; LATTICE FIELD THEORY; OSCILLATIONS; PERTURBATION THEORY; QUANTUM GRAVITY; SPECTRAL FUNCTIONS; SUPERSYMMETRY; TENSORS; YANG-MILLS THEORY

### Citation Formats

```
Kovtun, Pavel, Starinets, Andrei, and Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5.
```*Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.131601.

```
Kovtun, Pavel, Starinets, Andrei, & Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5.
```*Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory*. United States. doi:10.1103/PhysRevLett.96.131601.

```
Kovtun, Pavel, Starinets, Andrei, and Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5. Fri .
"Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory". United States.
doi:10.1103/PhysRevLett.96.131601.
```

```
@article{osti_20777128,
```

title = {Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory},

author = {Kovtun, Pavel and Starinets, Andrei and Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5},

abstractNote = {We use the gauge-gravity duality conjecture to compute spectral functions of the stress-energy tensor in finite-temperature N=4 supersymmetric Yang-Mills theory in the limit of large N{sub c} and large 't Hooft coupling. The spectral functions exhibit peaks characteristic of hydrodynamic modes at small frequency, and oscillations at intermediate frequency. The nonperturbative spectral functions differ qualitatively from those obtained in perturbation theory. The results may prove useful for lattice studies of transport processes in thermal gauge theories.},

doi = {10.1103/PhysRevLett.96.131601},

journal = {Physical Review Letters},

number = 13,

volume = 96,

place = {United States},

year = {Fri Apr 07 00:00:00 EDT 2006},

month = {Fri Apr 07 00:00:00 EDT 2006}

}

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