Gauge group of gravity, spinors, and anomalies | Zendy

Roberto Percacci | Zendy

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Gauge group of gravity, spinors, and anomalies

Author(s) -

Roberto Percacci

Publication year - 1986

Publication title -

international journal of theoretical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.337

H-Index - 65

eISSN - 0020-7748

pISSN - 1572-9575

DOI - 10.1007/bf00668785

Subject(s) - spinor , physics , mathematical physics , spin connection , theoretical physics , gravitation , gauge (firearms) , lorentz group , gauge theory , introduction to gauge theory , connection (principal bundle) , group (periodic table) , lorentz transformation , classical mechanics , quantum mechanics , mathematics , geometry , archaeology , history

A discussion is given of the gravitational anomalies that arise from coupling Weyl spinors to gravity, treating the metric, the soldering form, and the connection as independent dynamical variables. This system is strictly analogous to Weyl spinors coupled to Yang-Mills fields and a nonlinear sigma model. The larger gauge group of this formulation is seen to lie at the root of the equivalence between Einstein and Lorentz anomalies.

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