An alternative to lattice field theory

A discretization scheme provided by noncommutative field theory is further developed. In the representation chosen, the radial coordinate is rendered discrete, allowing to put fields on a lattice in a natural way. Noncommutativity is traded for a precise and controlable type of nonlocality. Implemen...

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Bibliographic Details
Main Author: Acatrinei, Ciprian Sorin
Format: Conference Proceeding
Language:English
Subjects:
Fermions
Field theory
Quantum theory
Online Access:Get full text
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Summary:A discretization scheme provided by noncommutative field theory is further developed. In the representation chosen, the radial coordinate is rendered discrete, allowing to put fields on a lattice in a natural way. Noncommutativity is traded for a precise and controlable type of nonlocality. Implementing the procedure for fermions avoids the (in)famous doubling problem of usual lattice field theories.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5090060