Damiano Anselmi 1997 Class. Quantum Grav. 14 2031 doi:10.1088/0264-9381/14/8/006
Quantum topological invariants, gravitational instantons and the topological embedding
Damiano Anselmi
Show affiliationsCertain topological invariants of the moduli space of gravitational instantons are defined and studied. Several amplitudes of two- and four-dimensional topological gravity are computed. A notion of puncture in four dimensions, which is particularly meaningful in the class of Weyl instantons, is introduced. The topological embedding, a theoretical framework for constructing physical amplitudes that are well defined order-by-order in perturbation theory around instantons, is explicitly applied to the computation of the correlation functions of Dirac fermions in a punctured gravitational background, as well as to the most general QED and QCD amplitude. Various alternatives are worked out, discussed and compared. The quantum background affects the propagation by generating a certain effective `quantum' metric. The topological embedding could represent a new chapter of quantum field theory.
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Issue 8 (August 1997)
Received 12 August 1996, in final form 28 February 1997
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Quantum topological invariants, gravitational instantons and the topological embedding
Damiano Anselmi 1997 Class. Quantum Grav. 14 2031
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