On the perturbative expansion of a quantum field theory around a topological sector

Details On the perturbative expansion of a quantum field theory around a topological sector On the perturbative expansion of a quantum field theory around a topological sector

2005-08-26

arxiv.org/abs/gr-qc/0508106v1

Gen.Rel.Grav.39:167-178,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1007/s10714-006-0378-y

The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the viability of this idea, by applying it to conventional Yang--Mills theory on flat spacetime. We find that the expansion around the topological theory coincides with the usual expansion around the abelian theory, though the equivalence is non-trivial. In this context, the technique appears therefore to be viable, but not to bring particularly new insights. Some implications for gravity are discussed.

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