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Spin foam models of Yang–Mills theory coupled to gravity

A Miković

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We construct a spin foam model of Yang–Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barrett–Crane ansatz. In the Euclidean gravity case, we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidean gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang–Mills theory coupled to gravity.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

11.15.-q Gauge field theories

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 1 (7 January 2003)

Received 22 October 2002

Published 16 December 2002



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