An invariant renormalisation method for non-linear realisations of dynamical symmetries
- 1 October 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (10) , 2093-2105
- https://doi.org/10.1088/0305-4470/11/10/025
Abstract
The structure of the ultraviolet divergence is investigated for the field theoretical models with non-linear realisation of an arbitrary semi-simple Lie group, with spontaneously broken symmetry of vacuum. An invariant formulation of the background-field method of renormalisation is proposed which gives the manifestly invariant counter-terms off mass shell. A simple algorithm for construction of counter-terms is developed. It is based on invariants of the group of dynamical symmetry in terms of the Cartan forms. The results of one-loop and two-loop calculations are reported.Keywords
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