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Classical improvement of lattice actions and quantum effects: a unified view

Rossi, Paolo and Vicari, Ettore (1996) Classical improvement of lattice actions and quantum effects: a unified view. Physics letters. B , B389 . p. 571. ISSN 1873-2445

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Abstract

The possibility of removing the one-loop perturbative effects of lattice artifacts by a proper choice of the lattice action is explored, and found to depend crucially on the properties of the physical quantity considered. In this respect the finite-space-volume mass gap m(L) is an improved observable. We find an explicit momentum space representation of the one-loop contribution to m(L) for arbitrary lattice actions in the case of two-dimensional O(N) sigma models. We define a ``tree perfect'' Symanzik action and find that it formally removes all one-loop lattice artifacts in m(L). On-shell improved actions do not share this property.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 15:47
Last Modified: 09 Apr 2015 15:47
URI: http://eprints.adm.unipi.it/id/eprint/1824

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