Limitations on the topological BF scheme in Riemann-Cartan spacetime with torsion

Journal Article · Sat Aug 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.047504· OSTI ID:21322535

Mielke, Eckehard W ^[1]

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1. Departamento de Fisica, Universidad Autonoma Metropolitana Iztapalapa, Apartado Postal 55-534, C.P. 09340, Mexico, D.F. (Mexico)

Cartan's structure equations in the Riemann-Cartan framework and some topological invariants of gravity are reanalyzed from the perspective of BF theories. This is related to a variational approach to Chern-Simons terms and Bianchi identities employing Lagrange multipliers. Here, it is pointed out that the BF scheme has some limitations to the effect that a coupling to matter would leave the minimal coupling prescription of gauge theories. In the case of gravity, the field equations would, generically, become higher order with a coupling to the relocalized Belinfante-Rosenfeld energy-momentum current.

• OSTI ID: 21322535
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATION
MATTER
QUANTUM FIELD THEORY
SPACE-TIME
TORSION
VARIATIONAL METHODS