Monte Carlo simulation of $1+1$-dimensional $φ^4$ quantum field theory

Details Monte Carlo simulation of $1+1$-dimensional $φ^4$ quantum field theory Monte Carlo simulation of $1+1$-dimensional $φ^4$ quantum field theory

1994-12-17

arxiv.org/abs/hep-lat/9412086v1

Nucl.Phys.Proc.Suppl. 42 (1995) 917-919

Physics

High Energy Physics

High Energy Physics - Lattice

contribution to Lattice 94 as uuencoded compressed 3pp. Postscript file

Scientific paper

10.1016/0920-5632(95)00421-5

We report results of a Monte Carlo simulation of the $\phi^4$ quantum field theory using multigrid simulation techniques and a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation based on a variational ansatz. While the variational approximation is well reproduced for a large range of parameters we find significant deviations for low temperatures and large couplings.

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