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Date: 2025-10-11

Article ID: 22050

The Correlation Function of a Massive Scalar Field: Exponential Decrease at Large Distances

As a technical supplement to articles 00980 and 30983, this article explains how contour integrals may be used to estimate the large-distance behavior of some functions that arise in the analysis of the free scalar quantum field on a spatial lattice.

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Revision history

2025-10-11 (changed title, clarified the scope of the result)
2023-02-10 (specified a range of n in the section about evaluating the rotation-symmetric term)
2022-08-23 (deleted an extra phrase from the section "Evaluating the remainder")
2022-08-21 (first version)

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updated 2025-10-12