Continuum versus periodic lattice Monte Carlo approach to classical field theory

Details Continuum versus periodic lattice Monte Carlo approach to classical field theory Continuum versus periodic lattice Monte Carlo approach to classical field theory

2001-10-12

arxiv.org/abs/hep-lat/0110073v1

Phys.Rev. D65 (2002) 071501

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures

Scientific paper

10.1103/PhysRevD.65.071501

We compare the momentum space with the standard periodic lattice approach to
Monte Carlo calculations in classical $\phi^4$ field theory. We show that the
mismatch in the initial value of $\phi^2_{\text{cl}}(t)$, results in a shift in
the ``thermalized'' value, at large times. The two approaches converge to the
same result in the continuum limit.

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