Classical simulation of quantum λφ4
Presenter: Tzahi Yavin
T. Hirayama, B. Holdom, R. Koniuk, T. Yavin
Abstract: We simulate a massive scalar field in 2 dimensions with a λφ4 interaction, both classically and quantum mechanically. The classical theory is
time evolved in Minkowski space, where as the quantum theory is Monte Carlo
simulated in Euclidean space. All the modes of the classical theory are initialized with random phases and their corresponding zero-point energy. Different
time evolutions are then phase-averaged. We compare the resulting correlation
functions from both approaches. We find the classical theory is able to recover
loop effects of the quantum theory. There is good agreement between the two
approaches at both weak and strong coupling. We note that the classical scheme
uses a tiny fraction of the CPU time of the quantum simulations, and yet yields
comparable results.
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