Numerical simulation of the O(4)-symmetric φ 4-model in the symmetric phase

Abstract

The four-dimensional O(4)-symmetric φ 4-model is numerically simulated on lattices L 3 · T with 4 ⩽ L ⩽ 16 and T = 12, 16 in the phase with unbroken symmetry at infinite bare quartic coupling. Physical observables, such as the renormalized mass and coupling, are determined with good precision by using a recently developed efficient cluster algorithm. Special care is taken to study the finite volume dependence in order to achieve a reliable infinite volume extrapolation. The finite volume behaviour of masses and couplings is well approximated by one-loop renormalized perturbation theory. The obtained infinite volume results agree with a recent analytical calculation based on a high-order hopping parameter expansion.