Topics in gravitation and gauge fields

Mathematics – Logic

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Gauge Theory, Gravitational Waves, Interstellar Matter, Quantum Mechanics, Baryons, Leptons, Minkowski Space, Perturbation Theory

Scientific paper

Quantum mechanical effects of classical gravitational radiation are addressed. The use of the interstellar medium itself as a remote quantum mechanical detector of gravitational waves is investigated. The theory of quantized fields on curved space times is examined. In the first of these studies, a naive model of cosmological baryon synthesis is examined. The model incorporates a hard CP violation as well as a baryon (and lepton) nonconserving interaction and is thus capable of generating an excess of matter over antimatter. The time dependent background geometry of the early universe drives the interaction producing net excess of baryon/lepton pairs. An interaction picture and diagram technique valid in curved space times is developed. The consequences of initially present baryons and leptons are explored. The question of renormalizability of non-Abellan gauge fields theories in a general curved space time is addressed.

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