O(N) Models with Topological Lattice Actions

Bietenholz, Wolfgang; Bögli, Michael; Gerber, Urs; Niedermayer, Ferenc; Pepe, Michele; Wiese, Uwe-Jens; Rejón-Barrera, Fernando G. (20 November 2014). O(N) Models with Topological Lattice Actions. PoS - proceedings of science, LATTICE2013(051). Scuola Internazionale Superiore di Studi Avanzati SISSA

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A variety of lattice discretisations of continuum actions has been considered, usually requiring the correct classical continuum limit. Here we discuss “weird” lattice formulations without that property, namely lattice actions that are invariant under most continuous deformations of the field configuration, in one version even without any coupling constants. It turns out that universality is powerful enough to still provide the correct quantum continuum limit, despite the absence of a classical limit, or a perturbative expansion. We demonstrate this for a set of O(N) models (or non-linear σ-models). Amazingly, such “weird” lattice actions are not only in the right universality class, but some of them even have practical benefits, in particular an excellent scaling behaviour.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Bögli, Michael; Gerber, Urs; Niedermayer, Ferenc; Pepe, Michele and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

03 Dec 2014 08:28

Last Modified:

04 Dec 2014 21:10

BORIS DOI:

10.7892/boris.60626

URI:

https://boris.unibe.ch/id/eprint/60626

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