Finite-temperature phase diagram of the BMN matrix model on the lattice

Abstract

We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_{\tau }=24$ lattice sites and SU($N$) gauge groups with $8\le N\le 16$. In addition, we carry out extended checks of discretization artifacts for $N_{\tau }\le 128$ and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-$N$ dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings.

References in corpus (22)

• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Low-dimensional Supersymmetric Lattice Models
• Thermodynamics of the BMN matrix model at strong coupling
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Nature of the phase transition for finite temperature $N_{\mathrm{f}}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=12$
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• First Results from Lattice Simulation of the PWMM
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• First results from simulations of supersymmetric lattices
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
• Lattice studies of supersymmetric gauge theories
• Thermal phase structure of dimensionally reduced super-Yang--Mills
• Thermal phase structure of a supersymmetric matrix model
• Maximally supersymmetric Yang--Mills in three dimensions

Cited by in corpus (2)

• Statistical Physics of the Polarised IKKT Matrix Model
• A Charge Constraint in BMN