Monte Carlo and renormalization-group effective potentials in scalar field theories

Autor:	Veljko Dmitrasinovic, J. A. McNeil, J. R. Shepard
Rok vydání:	1995
Předmět:	Nuclear Theory (nucl-th) Renormalization Physics High Energy Physics - Lattice Nuclear Theory Lattice (order) High Energy Physics - Lattice (hep-lat) Monte Carlo method FOS: Physical sciences Renormalization group Scalar field Nuclear theory Mathematical physics
Zdroj:	Physical Review D. 51:7017-7025
ISSN:	0556-2821
Popis:	We study constraint effective potentials for various strongly interacting $\phi^4$ theories. Renormalization group (RG) equations for these quantities are discussed and a heuristic development of a commonly used RG approximation is presented which stresses the relationships among the loop expansion, the Schwinger-Dyson method and the renormalization group approach. We extend the standard RG treatment to account explicitly for finite lattice effects. Constraint effective potentials are then evaluated using Monte Carlo (MC) techniques and careful comparisons are made with RG calculations. Explicit treatment of finite lattice effects is found to be essential in achieving quantitative agreement with the MC effective potentials. Excellent agreement is demonstrated for $d=3$ and $d=4$, O(1) and O(2) cases in both symmetric and broken phases. Comment: 16 pages, 4 figures appended to end of this file
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d5e5bc92c75063e090dbc9fabe65f33 https://doi.org/10.1103/physrevd.51.7017 Zobrazit plný text záznamu