The two-point correlation functions of statistical models show, in general, both poles and cuts in momentum space. The former correspond to the spectrum of massive excitations of the model, while the latter originate from interaction effects, namely, the creation and annihilation of virtual pairs of excitations. We discuss the effect of such interactions on the long-distance behavior of correlation functions in configuration space, focusing on certain time-slice operators that are commonly used to extract the spectrum. For the three-dimensional Ising model in the scaling region of the broken-symmetry phase, a one-loop calculation shows that the interaction effects on time-slice correlations is non-negligible for distances up to a few times the correlation length and should therefore be taken into account when analyzing Monte Carlo data.

Interaction effects in the spectrum of the three-dimensional Ising model

PROVERO, Paolo
1998-01-01

Abstract

The two-point correlation functions of statistical models show, in general, both poles and cuts in momentum space. The former correspond to the spectrum of massive excitations of the model, while the latter originate from interaction effects, namely, the creation and annihilation of virtual pairs of excitations. We discuss the effect of such interactions on the long-distance behavior of correlation functions in configuration space, focusing on certain time-slice operators that are commonly used to extract the spectrum. For the three-dimensional Ising model in the scaling region of the broken-symmetry phase, a one-loop calculation shows that the interaction effects on time-slice correlations is non-negligible for distances up to a few times the correlation length and should therefore be taken into account when analyzing Monte Carlo data.
1998
57
3861
3865
Provero P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/129650
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