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Do bosons feel spin frames? (English) Zbl 0961.83029

Summary: In order to allow a coherent dynamical spinor-matter coupling we introduced in [L. Fatibene, M. Ferraris, M. Francaviglia and M. Godina, ibid. 30, 1371-1389 (1998; Zbl 0935.83019)] new variables to describe gravitational field, related to spin structures and called spin frames. A natural action of spacetime diffeomorphisms on spin frames cannot be defined. Accordingly they must be treated as a sort of gauge fields, i.e. they must be considered to be covariant with respect to automorphisms of some suitable principal bundle. In this paper we analyze what happens when general bosonic matter and gauge fields interacting with gravity (described by spin frames) are considered. As should be expected, such a theory reduces to a theory in which gravity is described by means of a metric alone. Conserved quantities are also considered in detail.

MSC:

83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
81R25 Spinor and twistor methods applied to problems in quantum theory

Citations:

Zbl 0935.83019
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Full Text: DOI

References:

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