Inheritance principle and Non-renormalization theorems at finite temperature

Abstract

We present a general proof of an ``inheritance principle'' satisfied by a weakly coupled SU(N) gauge theory with adjoint matter on a class of compact manifolds (like $S^3$). In the large $N$ limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by summing over images of each operator in the Euclidean time direction. As a consequence, various non-renormalization theorems of $\NN=4$ Super-Yang-Mills theory on $S^3$ survive at finite temperature despite the fact that the conformal and supersymmetries are both broken.

14 pages, uses harvmac v2: reference added, the role of hep-th/0505148 emphasized

References in corpus (15)

• Gauge Theory Correlators from Non-Critical String Theory
• Type IIB superstring action in AdS_5 x S^5 background
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• Extremal Correlators in the AdS/CFT Correspondence
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Nilpotent invariants in N=4 SYM
• Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills
• Vacua of M-theory and string theory
• Non-renormalization of two and three Point Correlators of N=4 SYM in N=1 Superspace
• From Free Fields to AdS -- Thermal Case
• Large N Reductions and Holography

Cited by in corpus (12)

• Multiply wound Polyakov loops at strong coupling
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• A Matrix Model for Black Hole Thermalization
• Instanton Operators in Five-Dimensional Gauge Theories
• Interacting systems and wormholes
• Correlators, Probabilities and Topologies in N=4 SYM
• Thermalization in Large-N CFTs
• Colour-Twist Operators I: Spectrum and Wave Functions
• Hagedorn divergences and tachyon potential
• A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
• Confined Phase In The Real Time Formalism And The Fate Of The World Behind The Horizon
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature