Geometrical symmetries of SU(2)-invariant Yang-Mills theory with nonstandard Lagrangian
type: Item
instance of: scholarly article
title: Geometrical symmetries of SU(2)-invariant Yang-Mills theory with nonstandard Lagrangian
zbMATH Open document ID: 0927.58025
author: S. G. Zolotukhina
published in: Moscow University Mathematics Bulletin
publication date: 1999-01-14T00:00:00Z
review text: For the Yang-Mills field with Lagrangian \[ L = \dfrac{1}{2M^2} D_\rho^{ab}F^b_{\mu\nu}D^{ac}_\rho F^c_{\mu\nu} + \dfrac{g}{6M^2} f^{abc}F^a_{\mu\nu}F^b_{\nu\rho}F^c_{\rho\mu}, \] where summation is carried out over the repeated indices \(\mu\) and \(\rho\) from 0 to 3 and \(b\) and \(c\) from 1 to 3, \textit{A.~I.~Alekseev} and \textit{B.~A.~Arbuzov} [Theor. Math. Phys. 59, 372-378 (1984); translation from Teor. Mat. Fiz. 59, 80-90 (1984)] obtained the equations describing the infrared behaviour of the complete Green gluon functions. The author investigates the geometrical symmetries of these equations and obtains the maximal Lie symmetry group.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 1240182
zbMATH Keywords: Yang-Mills field
zbMATH Keywords: geometrical symmetries
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1240182