skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Transport Peak in the Thermal Spectral Function of N = 4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling

Journal Article · · Physical Review Letters
; ;

We study the structure of thermal spectral function of the stress-energy tensor in N=4 supersymmetric Yang-Mills theory at intermediate ‘t Hooft coupling and infinite number of colors. In gauge-string duality, this analysis reduces to the study of classical bulk supergravity with higher-derivative corrections, which correspond to (inverse) coupling corrections on the gauge theory side. We extrapolate the analysis of perturbative leading-order corrections to intermediate coupling by nonperturbatively solving the equations of motion of metric fluctuations dual to the stress-energy tensor at zero spatial momentum. We observe the emergence of a separation of scales in the analytic structure of the thermal correlator associated with two types of characteristic relaxation modes. As a consequence of this separation, the associated spectral function exhibits a narrow structure in the small frequency region which controls the dynamics of transport in the theory and may be described as a transport peak typically found in perturbative, weakly interacting thermal field theories. We compare our results with generic expectations drawn from perturbation theory, where such a structure emerges as a consequence of the existence of quasiparticles.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0011090
OSTI ID:
1481452
Alternate ID(s):
OSTI ID: 1611576; OSTI ID: 1637337
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 121 Journal Issue: 19; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (45)

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory journal November 1998
Next-to-leading order thermal spectral functions in the perturbative domain journal September 2011
Finite coupling corrections to holographic predictions for hot QCD journal November 2015
Relativistic viscous hydrodynamics, conformal invariance, and holography journal April 2008
Holographic isotropisation in Gauss-Bonnet gravity journal February 2017
Quasinormal modes of near extremal black branes journal December 2002
Evidence for large-N phase transitions in $ \mathcal{N}={2^{*}} $ theory journal April 2013
From AdS/CFT correspondence to hydrodynamics journal September 2002
Minkowski-space correlators in AdS/CFT correspondence: recipe and applications journal September 2002
Holographic thermalization in $${{\mathcal N}}=4$$ N = 4 super Yang–Mills theory at finite coupling journal February 2014
Elliptic Flow in A u + A u Collisions at √ s NN = 130 GeV journal January 2001
Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid journal March 2017
Holographic constraints on Bjorken hydrodynamics at finite coupling journal October 2017
Linearized holographic isotropization at finite coupling journal June 2017
On the infrared behavior of the shear spectral function in hot Yang-Mills theory journal March 2015
Heavy quark diffusion from the lattice journal January 2006
Spectral densities for hot QCD plasmas in a leading-log approximation journal October 2010
Stress-stress correlator in ϕ4 theory: poles or a cut? journal May 2018
Finite temperature spectral densities of momentum and R -charge correlators in N = 4 Yang-Mills theory journal August 2006
Transport coefficients, spectral functions and the lattice journal April 2002
Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions journal June 2016
Elliptic Flow of Identified Hadrons in A u + A u Collisions at s N N = 200     G e V journal October 2003
AdS black holes and thermal Yang-Mills correlators journal December 2005
Gauge/String Duality, Hot QCD and Heavy Ion Collisions book January 2014
Thermal Spectral Functions of Strongly Coupled N = 4 Supersymmetric Yang-Mills Theory journal April 2006
Bulk viscosity and spectral functions in QCD journal September 2008
Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at s N N = 2.76 TeV journal January 2013
The large $N$ limit of superconformal field theories and supergravity journal January 1998
Probing the pattern of holographic thermalization with photons journal July 2013
Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions journal July 2017
Centrality and pseudorapidity dependence of elliptic flow for charged hadrons in Au+Au collisions at s NN = 200 GeV journal November 2005
AdS 5 × S 5 black hole metric at Script O(α′ 3 ) journal September 1998
Transport coefficients in high temperature gauge theories, 2. Beyond leading log journal May 2003
Transport coefficients in high temperature gauge theories (I): leading-log results journal November 2000
Basics of Thermal Field Theory: A Tutorial on Perturbative Computations book January 2016
Quasinormal modes and holography journal October 2005
On the universal identity in second order hydrodynamics journal March 2015
Coupling constant dependence of the shear viscosity in supersymmetric Yang–Mills theory journal February 2005
Full result for the QCD equation of state with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors journal March 2014
Measurement of the azimuthal anisotropy for charged particle production in s N N = 2.76 TeV lead-lead collisions with the ATLAS detector journal July 2012
Elliptic Flow of Charged Particles in Pb-Pb Collisions at s N N = 2.76     TeV journal December 2010
From strong to weak coupling in holographic models of thermalization journal July 2016
Resurgence and hydrodynamic attractors in Gauss-Bonnet holography journal April 2018
QCD shear viscosity at (almost) NLO journal March 2018
Universal holographic hydrodynamics at finite coupling journal November 2008

Figures / Tables (2)

FIG. 1(p. 3)figure FIG. 1
FIG. 2(p. 4)figure FIG. 2

Similar Records

Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory
Journal Article · Wed Dec 05 00:00:00 EST 2018 · Physical Review Letters · OSTI ID:1481452
+2 more
Thermal Spectral Functions of Strongly Coupled N=4 Supersymmetric Yang-Mills Theory
Journal Article · Fri Apr 07 00:00:00 EDT 2006 · Physical Review Letters · OSTI ID:1481452
N = 4 supersymmetric Yang-Mills thermodynamics from effective field theory
Journal Article · Thu Jan 06 00:00:00 EST 2022 · Physical Review D · OSTI ID:1481452
+1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Physics
finite temperature field theory
gauge-gravity dualities
large-N expansion in field theory
perturbation theory
quantum chromodynamics
quantum field theory
string theory techniques in condensed matter
supergravity