Yang-Mills theory at finite coupling
نویسندگان
چکیده
Gauge theory-string theory duality describes strongly coupled N = 4 supersymmetric SU(nc) Yang-Mills theory at finite temperature in terms of near extremal black 3-brane geometry in type IIB string theory. We use this correspondence to compute the leading correction in inverse ’t Hooft coupling to the shear diffusion constant, bulk viscosity and the speed of sound in the large-nc N = 4 supersymmetric Yang-Mills theory plasma. The transport coefficients are extracted from the dispersion relation for the shear and the sound wave lowest quasinormal modes in the leading order α-corrected black D3 brane geometry. We find the shear viscosity extracted from the shear diffusion constant to agree with result of [hep-th/0406264]; also, the leading correction to bulk viscosity and the speed of sound vanishes. Our computation provides a highly nontrivial consistency check on the hydrodynamic description of the α-corrected nonextremal black branes in string theory.
منابع مشابه
Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory
We consider a three-dimensional effective theory of Polyakov lines derived previously from lattice Yang-Mills theory and QCD by means of a resummed strong coupling expansion. The effective theory is useful for investigations of the phase structure, with a sign problem mild enough to allow simulations also at finite density. In this work we present a numerical method to determine improved values...
متن کاملComment on Two - Loop Free Energy in N = 4 Supersymmetric Yang - Mills Theory at Finite Temperature ⋆
The strong coupling behavior of finite temperature free energy in N = 4 supersym-metric SU (N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, F (g 2 N → 0) ≈ − π 2 6 N 2 V 3 T 4 (1 − 3 2π 2...
متن کاملShear viscosity of boost invariant plasma at finite coupling
We discuss string theory α ′ corrections in the dual description of the expanding boost invariant N = 4 supersymmetric Yang-Mills plasma at strong coupling. We compute finite 't Hooft coupling corrections to the shear viscosity and find that it disagrees with the equilibrium correlation function computations. We comment on the possible
متن کاملEffect of the Haar measure on the finite temperature effective potential of SU(2) Yang-Mills theory
Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilsonline W = 0 for strong coupling, whereas it develops two degenerate minima close to W = ±1 for weak coupling. This suggests that the non-abelian character of SU(2) as contained in the Haar measure might be responsible for confinement. PACS number(s): 11.15.T...
متن کاملSuper Yang-Mills Theory at Finite Temperature
The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the N = 4 super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as well as in a large ’t Hooft parameter λ. We argue that it is impossible to smoothly extrapolate from the weak coupling regime to the strong coupling regime, thus th...
متن کاملAdS black holes and thermal Yang-Mills correlators
We study the real time correlators of scalar glueball operators for Yang-Mills theory at finite temperature in flat space. The analytic structure of the frequency space propagator in perturbative field theory is seen to be qualitatively different to the strong coupling results that may be obtained from perturbations about AdS black hole spacetimes: we find branch cuts rather than poles. This di...
متن کامل