2016/10/17 by Arturo Amador, Johan S. Høye, Johan Skule Høye +4
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.48550/arxiv.1610.05284
33 pages, 7 figures
openalex publication_date 2016/10/17 · arxiv created 2016/11/04 · arxiv updated 2016/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The mean spherical approximation (MSA) is a closure relation for pair correlation functions (two-point functions) in statistical physics. It can be applied to a wide range of systems, is computationally fairly inexpensive, and when properly applied and interpreted lead to rather good results. In this paper we promote its applicability to euclidean quantum field theories formulated on a lattice, by demonstrating how it can be used to locate the critical lines of a class of multi-component bosonic models. The MSA has the potential to handle models lacking a positive definite integration measure, which therefore are difficult to investigate by Monte-Carlo simulations.