Matrix general relativity and Yang-Mills theory

Details Matrix general relativity and Yang-Mills theory Matrix general relativity and Yang-Mills theory

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1327o&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 6, 15 March 1985, pp.1327-1336

Physics

7

Fundamental Problems And General Formalism, Gauge Field Theories

Scientific paper

We have constructed a theory where the metric tensor gμν(x) and the connection Γλμν(x) are now generalized to be matrix-valued instead of scalar functions. Such a theory can combine both Einstein's general relativity and Yang-Mills gauge theory. Similarly, the usual vierbein field eaμ(a) may be assumed to be also matrix-valued. This theory can possess two different kinds of local gauge transformations. In such a theory, there exists a possibility that gravity may be regarded as a bound state of a spin-(3/2) fermion pair in some sense. Also, the torsion tensor does not behave covariantly under one of the local gauge symmetries.

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