1997/09/26 by P. Provero, Paolo Provero · 1 citation
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physreve.57.3861
10 pages, LaTeX file + 1 ps figure, uses axodraw.sty
arxiv created 1997/09/26 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.