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

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 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 which are commonly used to extract the spectrum. For the 3D 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 analysing Monte Carlo data.

arXiv comment10 pages, LaTeX file + 1 ps figure, uses axodraw.sty

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Cited by in corpus (3)

• Bound-state energy of the d=3 Ising model in the broken-symmetry phase: Suppressed finite-size corrections
• A variance reduced estimator of the connected two-point function in the presence of a broken Z_2 symmetry
• Universal critical behavior of the two-magnon-bound-state mass gap for the (2+1)-dimensional Ising model