The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models

Fuente: arXiv
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Autore principale: Goswami, Abhishek
Natura: Preprint
Pubblicazione: 2022
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author Goswami, Abhishek
author_facet Goswami, Abhishek
contents We study the variational problem as described by Balaban in his renormalization group method for Yang-Mills theories in $d= 3, 4$ and adapt it to a class of Non-Linear Sigma Models in $d=2$. The result of the variational problem is a minimal configuration which can serve as a classical background field in the renormalization group analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2204_08252
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models
Goswami, Abhishek
High Energy Physics - Theory
High Energy Physics - Lattice
Mathematical Physics
81T08, 81T17, 81T25
We study the variational problem as described by Balaban in his renormalization group method for Yang-Mills theories in $d= 3, 4$ and adapt it to a class of Non-Linear Sigma Models in $d=2$. The result of the variational problem is a minimal configuration which can serve as a classical background field in the renormalization group analysis.
title The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models
topic High Energy Physics - Theory
High Energy Physics - Lattice
Mathematical Physics
81T08, 81T17, 81T25
url https://arxiv.org/abs/2204.08252