An invariant renormalisation method for non-linear realisations of dynamical symmetries
D I Kazakov; V N Pervushin; S V Pushkin; D I Kazakov; Lab. of Theoretical Phys., Joint Inst. for Nuclear Res., Moscow, USSR; V N Pervushin; Lab. of Theoretical Phys., Joint Inst. for Nuclear Res., Moscow, USSR; S V Pushkin; Lab. of Theoretical Phys., Joint Inst. for Nuclear Res., Moscow, USSR
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1978-10-01
Аннотация:
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.
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