Life at the Landau pole

Fuente: arXiv
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Autor principal: Romatschke, Paul
Formato: Preprint
Publicado: 2022
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author Romatschke, Paul
author_facet Romatschke, Paul
contents If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the Landau pole, observables remain well-defined and finite. In this work, I study both relevant and irrelevant deformations of the said model at the Landau pole, finding that physical observables remain unaffected. Apparently, the Landau pole in this theory is benign. As a phenomenological application, I compare the O(N) model to QCD, by identifying $Λ_{\overline{\rm MS}}$ with the Landau pole in the O(N) model.
format Preprint
id arxiv_https___arxiv_org_abs_2212_03254
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Life at the Landau pole
Romatschke, Paul
High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the Landau pole, observables remain well-defined and finite. In this work, I study both relevant and irrelevant deformations of the said model at the Landau pole, finding that physical observables remain unaffected. Apparently, the Landau pole in this theory is benign. As a phenomenological application, I compare the O(N) model to QCD, by identifying $Λ_{\overline{\rm MS}}$ with the Landau pole in the O(N) model.
title Life at the Landau pole
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2212.03254