Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence

Abstract

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to free-energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite sign. Pade approximant method is adopted to improve fixed-order, perturbative series and is found to decrease free-energy monotonically as `t Hooft coupling parameter is increased. This may be regarded as an indication of smooth interpolation of thermodynamics between weak and strong `t Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

12 pages, Latex, 5 figures

References in corpus (1)

• A note on supersymmetric Yang-Mills thermodynamics

Cited by in corpus (34)

• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Perturbative Thermal QCD: Formalism and Applications
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Shear viscosity in weakly coupled $\mathcal{N}=4$ Super Yang-Mills theory compared to QCD
• Cold Strongly Coupled Atoms Make a Near-perfect Liquid
• New Effects in Gauge Theory from pp-wave Superstrings
• A note on supersymmetric Yang-Mills thermodynamics
• Understanding the Strong Coupling Limit of the $\mathcal{N}=4$ Supersymmetric Yang-Mills at Finite Temperature
• Hard thermal loops and the entropy of supersymmetric Yang-Mills theories
• Some Implications of Perturbative Approach to AdS/CFT Correspondence
• QCD and String Theory
• Hagedorn transition for strings on pp-waves and tori with chemical potentials
• 5d Black Hole as Emergent Geometry of Weakly Interacting 4d Hot Yang-Mills Gas
• Transverse momentum broadening and collinear radiation at NLO in the $\mathcal{N}=4$ SYM plasma
• Higher derivative corrections to near-extremal black holes in type IIB supergravity
• Quantum Thermodynamics of a Quantum Sized AdS Black Hole
• A Nonperturbative Proposal for Nonabelian Tensor Gauge Theory and Dynamical Quantum Yang-Baxter Maps
• Two Point Pade Approximants and Duality
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• Numerical relativity in higher dimensions
• Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• $\mathcal{N}=4$ supersymmetric Yang-Mills thermodynamics to order ${\lambda }^2$
• Spin-Spin and Spin-Orbit Interactions in Strongly Coupled Gauge Theories
• On the density of states in a free CFT and finite volume corrections
• Static Length Scales of N=6 Chern-Simons Plasma
• Temperature of D3-branes off extremality
• $N^2$ entropy of 4D N=4 SYM
• Gauge-String Dualities and Some Applications
• Free Energy of ABJM Theory
• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$
• AdS/CFT aspects of the cosmological QCD phase transition
• Scheme dependence of two-loop HTLpt-resummed ${\text{SYM}}_{4,4}$ thermodynamics