Free Energy and Phase Transition of the Matrix Model on a Plane-Wave

Abstract

It has recently been observed that the weakly coupled plane wave matrix model has a density of states which grows exponentially at high energy. This implies that the model has a phase transition. The transition appears to be of first order. However, its exact nature is sensitive to interactions. In this paper, we analyze the effect of interactions by computing the relevant parts of the effective potential for the Polyakov loop operator in the finite temperature plane-wave matrix model to three loop order. We show that the phase transition is indeed of first order. We also compute the correction to the Hagedorn temperature to order two loops.

24 pages

References in corpus (2)

• Fine structure of Hagedorn transitions
• Five-Brane Thermodynamics from the Matrix Model

Cited by in corpus (16)

• Thermodynamics of the BMN matrix model at strong coupling
• First Results from Lattice Simulation of the PWMM
• Phase Transitions of Large N Orbifold Gauge Theories
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Lattice studies of supersymmetric gauge theories
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Thermal phase structure of dimensionally reduced super-Yang--Mills
• The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics
• Holography and entropy bounds in the plane wave matrix model
• Smearing Effect in Plane-Wave Matrix Model
• Axial Anomaly in the $SU(N)$ Gauge Matrix Model
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• Non-perturbative phase structure of the bosonic BMN matrix model
• Emergent Geometries from the BMN Matrix Model