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Title: 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:
;  [1];  [2]
  1. KITP, University of California, Santa Barbara, California 93106 (United States)
  2. (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}
}
  • The energy density wake produced by a heavy quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is computed using gauge-string duality.
  • The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma, at large N{sub c}, is evaluated using gauge/string duality. The accuracy with which the resulting wake, in position space, is reproduced by hydrodynamics is examined. Remarkable agreement is found between hydrodynamics and the complete result down to distances less than 2/T away from the quark. In performing the gravitational analysis, we use a relatively simple formulation of the bulk to boundary problem in which the linearized Einstein field equations are fully decoupled. Our analysis easily generalizes to other sources in the bulk.
  • We compute the penetration depth of a light quark moving through a large N{sub c}, strongly coupled N=4 supersymmetric Yang-Mills plasma using gauge/gravity duality and a combination of analytic and numerical techniques. We find that the maximum distance a quark with energy E can travel through a plasma is given by {delta}x{sub max}(E)=(C/T)(E/T{radical}({lambda})){sup 1/3} with C{approx_equal}0.5.
  • We examine the one-loop partition function describing the fluctuations of the superstring in a Schwarzschild-AdS{sub 5}xS{sup 5} background. On the bosonic side, we demonstrate the one-loop equivalence of the Nambu-Goto action and the Polyakov action for a general world sheet, while on the fermionic side, we consider the reduction of the ten-dimensional Green-Schwarz fermion action to a two-dimensional world sheet action. We derive the partition functions of the world sheets corresponding to both straight and parallel Wilson lines. We discuss the cancellation of the UV divergences of the functional determinants in the thermal AdS background.
  • We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on an AdS{sub 5}xS{sup 5} background coincides with the relevant part of the action of the gauged N=8 5D supergravity on AdS{sub 5}. We then use this action to compute the four-point function of the lowest weight chiral primary operators tr ( {phi}{sup (i}{phi}{sup j)}) in N=4 four-dimensional SYM theory at large N and at strong 't Hooft coupling. (c) 2000 The American Physical Society.