English

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

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We report results of a Monte Carlo simulation of the ϕ4\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.

Keywords

Cite

@article{arxiv.hep-lat/9412086,
  title  = {Monte Carlo simulation of $1+1$-dimensional $\phi^4$ quantum field theory},
  author = {Wolfhard Janke and Tilman Sauer},
  journal= {arXiv preprint arXiv:hep-lat/9412086},
  year   = {2009}
}

Comments

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