The Hagedorn Transition, Deconfinement and the AdS/CFT Correspondence

Abstract

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) Yang-Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by Witten by compactifying an additional space-time coordinate with supersymmetry breaking boundary conditions thus introducing a finite temperature in the boundary theory. There is a Hagedorn-like transition associated with winding modes around this coordinate, which signals a topology changing phase transition to a new AdS/Schwarzschild blackhole where this coordinate is the time coordinate. In the boundary gauge theory time like Wilson loops acquire an expectation value above this temperature.

Latex file, 10 Pages

References in corpus (3)

• Gauge Theory Correlators from Non-Critical String Theory
• Wilson loops in large N field theories
• The Hagedorn Transition and the Matrix Model for Strings

Cited by in corpus (11)

• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Phase Transitions for Flat adS Black Holes
• Phase Transitions in Higher Derivative Gravity
• Phase transitions in higher derivative gravity and gauge theory: R-charged black holes
• Hagedorn transition for strings on pp-waves and tori with chemical potentials
• Schwinger Effect and Negative Differential Conductivity in Holographic Models
• Plasma balls/kinks as solitons of large $N$ confining gauge theories
• Confined Phase In The Real Time Formalism And The Fate Of The World Behind The Horizon
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes