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VOL. 20 | 2019 Discretization in Noncommutative Field Theory
Ciprian Sorin Acatrinei

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

A discretization scheme provided by the noncommutativity of space is reviewed. In the representation chosen here the radial coordinate is rendered discrete, allowing fields to be put on a lattice in a natural way. Noncommutativity is traded for a controllable type of nonlocality of the field dynamics, which in turn allows fermions to be free of lattice artefacts. Exact, singularity-free solutions are found interpreted, and their continuum limit is well-defined.

Information

Published: 1 January 2019
First available in Project Euclid: 21 December 2018

zbMATH: 1416.81090
MathSciNet: MR3887742

Digital Object Identifier: 10.7546/giq-20-2019-65-78

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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