Simulating nonequilibrium quantum fields with stochastic quantization techniques

Abstract

We present lattice simulations of nonequilibrium quantum fields in Minkowskian space-time. Starting from a non-thermal initial state, the real-time quantum ensemble in 3+1 dimensions is constructed by a stochastic process in an additional (5th) ``Langevin-time''. For the example of a self-interacting scalar field we show how to resolve apparent unstable Langevin dynamics, and compare our quantum results with those obtained in classical field theory. Such a direct simulation method is crucial for our understanding of collision experiments of heavy nuclei or other nonequilibrium phenomena in strongly coupled quantum many-body systems.

4 pages, 4 figures, PRL version, minor changes

References in corpus (2)

• Evolution of the Structure Factors in Pure SU(N) Lattice Gauge Theory and Effective Spin Models
• Model A Dynamics and the Deconfining Phase Transition for Pure Lattice Gauge Theory

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