Hybrid Stochastic Differential Equations Applied to Quantum Chromodynamics

Abstract

Hybrid stochastic differential equations are applied to the thermodynamics of lattice gauge theory with dynamical fermions. The tuned algorithm is much more efficient than pure Langevin or molecular-dynamics equations. The method is applied to quantum chromodynamics and the abrupt finite-temperature crossover between hadronic matter and the quark-gluon plasma is elucidated.