The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models
High Energy Physics - Theory
2024-03-01 v3 High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
We study the variational problem as described by Balaban in his renormalization group method for Yang-Mills theories in and adapt it to a class of Non-Linear Sigma Models in . The result of the variational problem is a minimal configuration which can serve as a classical background field in the renormalization group analysis.
Cite
@article{arxiv.2204.08252,
title = {The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models},
author = {Abhishek Goswami},
journal= {arXiv preprint arXiv:2204.08252},
year = {2024}
}
Comments
Proof of Theorem 1 reorganized, some changes in symmetry subgroup section, other minor changes. 20 pages