Continuum versus periodic lattice Monte Carlo approach to classical field theory

Abstract

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

5 pages, 4 figures

References in corpus (1)

• Schwinger-Dyson approach to non-equilibrium classical field theory

Cited by in corpus (3)

• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Dynamics of broken symmetry lambda phi^4 field theory
• Real-time dynamics of the O(N) model in 1+1 dimensions