From Free Fields to AdS -- Thermal Case

Abstract

We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in hep-th/0308184 hep-th/0402063 hep-th/0409233 hep-th/0504229 in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the non-thermal case. In deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for deconfined phase does not have a non-contractible circle in the Euclidean time direction.

LaTeX, 1+31 pages, 8 figures v2: refs corrected v3: minor corrections v4: to match with published version

References in corpus (17)

• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• From Free Fields to $AdS$ -- III
• Finite temperature effective action, AdS_5 black holes, and 1/N expansion
• Structure constants of planar N =4 Yang Mills at one loop
• Touring the Hagedorn Ridge
• A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
• Free Field Theory as a String Theory?
• String bits in small radius AdS and weakly coupled N=4 Super Yang-Mills Theory: I
• Five-Brane Thermodynamics from the Matrix Model
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• Higher Spins and Stringy AdS5xS5
• Hagedorn transition and chronology protection in string theory
• Two-Loop Partition Function in the Planar Plane-Wave Matrix Model
• On the boundary gauge dual of closed tensionless free strings in AdS
• Lightcone Quantization of String Theory Duals of Free Field Theories
• More Pendants for Polya: Two loops in the SU(2) sector
• On Tachyon condensation and open-closed duality in the c=1 string theory

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• Correlators in the Simplest Gauge-String Duality
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• Inheritance principle and Non-renormalization theorems at finite temperature
• Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Confined Phase In The Real Time Formalism And The Fate Of The World Behind The Horizon
• Large N Reductions and Holography
• Multi-trace Correlators from Permutations as Moduli Space
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature
• Equivalence of large-$N$ gauge theories on a group manifold and its coset space