Convergent Perturbation Theory for the lattice ϕ⁴-model

2015/11/18 by V. V. Belokurov, Belokurov, Vladimir V., Aleksandr Ivanov +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1511.05959

openalex publication_date 2015/11/18 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

The standard lattice perturbation theory leads to the asymptotic series because of the incorrect interchange of the summation and integration. However, changing the initial approximation of the perturbation theory, one can generate the convergent series. We study the lattice ϕ⁴-model and compare the operator ⟨ϕ_n²⟩ calculated using the convergent series and obtained by Monte Carlo simulations.

Citations

• Convergent series for QCD

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