The Variational Problem and Background Field in the Renormalization Group Method for Nonlinear Sigma Models

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 nonlinear sigma models in d = 2 . The result of the variational problem is a minimal configuration, which can serve as a classical background f...

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Bibliographic Details
Published in:Annales Henri Poincaré Vol. 25; no. 3; pp. 2065 - 2085
Main Author: Goswami, Abhishek
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.03.2024
Springer Nature B.V
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Original Paper
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theoretical
ISSN:1424-0637, 1424-0661
Online Access:Get full text
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Summary: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 nonlinear 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.
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ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-023-01353-7