Topological susceptibility under gradient flow

  • We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6.

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Author:Héctor Mejı́a-Dı́azORCiD, Wolfgang BietenholzORCiDGND, Krzysztof CichyORCiDGND, Philippe de ForcrandGND, Arthur DromardGND, Urs Gerber, Ilya Orson SandovalORCiD
URN:urn:nbn:de:hebis:30:3-718412
DOI:https://doi.org/10.1051/epjconf/201817511024
ISSN:2100-014X
Parent Title (English):EPJ Web of Conferences
Publisher:EDP Sciences
Place of publication:Les Ulis
Document Type:Article
Language:English
Date of Publication (online):2018/03/26
Date of first Publication:2018/03/26
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Contributing Corporation:International Symposium on Lattice Field Theory (35. : 2017 : Granada)
Release Date:2023/02/20
Volume:175
Issue:11024
Page Number:8
HeBIS-PPN:507193040
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0