Asymptotic expansion of the lattice scalar propagator in coordinate space

Abstract

The asymptotic expansion of the massive scalar field propagator on a n-dimensional lattice is derived. The method used is based on the evaluation of the asymptotic expansion of the modified Bessel function $I_{\nu }({\nu }^2\beta )$ as the order $\nu$ grows to infinity.

13 pages, 2 figures. Updated version (accepted for publication on Phys. Lett. B) includes evaluation of the one-loop mass renormalization in lattice lambda phi^4 theory

Cited by in corpus (5)

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• Series expansions for lattice Green functions
• Spectral Functions, Maximum Entropy Method and Unconventional Methods in Lattice Field Theory
• Greens function of a free massive scalar field on the lattice
• Renormalization of two-loop diagrams in scalar lattice field theory