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Author (up) Bribian, E.I.; Dasilva Golan, J.; Garcia Perez, M.; Ramos, A.
Title Memory efficient finite volume schemes with twisted boundary conditions Type Journal Article
Year 2021 Publication European Physical Journal C Abbreviated Journal Eur. Phys. J. C
Volume 81 Issue 10 Pages 951 - 25pp
Keywords
Abstract In this paper we explore a finite volume renormalization scheme that combines three main ingredients: a coupling based on the gradient flow, the use of twisted boundary conditions and a particular asymmetric geometry, that for SU (N) gauge theories consists on a hypercubic box of size l(2) x (Nl)(2), a choice motivated by the study of volume independence in large N gauge theories. We argue that this scheme has several advantages that make it particularly suited for precision determinations of the strong coupling, among them translational invariance, an analytic expansion in the coupling and a reduced memory footprint with respect to standard simulations on symmetric lattices, allowing for a more efficient use of current GPU clusters. We test this scheme numerically with a determination of the A parameter in the SU (3) pure gauge theory. We show that the use of an asymmetric geometry has no significant impact in the size of scaling violations, obtaining a value Lambda((MS) over bar)root 8t(0) = 0.603(17) in good agreement with the existing literature. The role of topology freezing, that is relevant for the determination of the coupling in this particular scheme and for large N applications, is discussed in detail.
Address [Bribian, Eduardo, I; Dasilva Golan, Jorge; Garcia Perez, Margarita] UAM CSIC, Inst Fis Teor, Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain, Email: jorge.dasilva@uam.es;
Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1434-6044 ISBN Medium
Area Expedition Conference
Notes WOS:000712577800001 Approved no
Is ISI yes International Collaboration no
Call Number IFIC @ pastor @ Serial 5011
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