Classical Simulation of Quantum Fields II

Details Classical Simulation of Quantum Fields II Classical Simulation of Quantum Fields II

2005-07-14

arxiv.org/abs/hep-lat/0507014v2

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 8 figures, now matches published version

Scientific paper

10.1139/P06-082

We consider the classical time evolution of a real scalar field in 2 dimensional Minkowski space with a $\lambda \phi^4$ interaction. We compute the spatial and temporal two-point correlation functions and extract the renormalized mass of the interacting theory. We find our results are consistent with the one- and two-loop quantum computation. We also perform Monte Carlo simulations of the quantum theory and conclude that the classical scheme is able to produce more accurate results with a fraction of the CPU time.

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