`Third' Quantization of Vacuum Einstein Gravity and Free Yang-Mills Theories

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dc.creatorRaptis, Ioannis
dc.date2006-06-04
dc.date2006-06-28
dc.date.accessioned2026-07-07T10:40:55Z
dc.date.available2026-07-07T10:40:55Z
dc.descriptionBased on the algebraico-categorical (:sheaf-theoretic and sheaf cohomological) conceptual and technical machinery of Abstract Differential Geometry, a new, genuinely background spacetime manifold independent, field quantization scenario for vacuum Einstein gravity and free Yang-Mills theories is introduced. The scheme is coined `third quantization' and, although it formally appears to follow a canonical route, it is fully covariant, because it is an expressly functorial `procedure'. Various current and future Quantum Gravity research issues are discussed under the light of 3rd-quantization. A postscript gives a brief account of this author's personal encounters with Rafael Sorkin and his work.
dc.description43 pages; latest version contributed to a fest-volume celebrating Rafael Sorkin's 60th birthday (Erratum: in earlier versions I had wrongly written that the Editor for this volume is Daniele Oriti, with CUP as publisher. I apologize for the mistake.)
dc.identifierhttps://arxiv.org/abs/gr-qc/0606021
dc.identifierhttp://arxiv.org/abs/gr-qc/0606021
dc.identifierInt.J.Theor.Phys.46:1137-1181,2007
dc.identifierdoi:10.1007/s10773-006-9263-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181473
dc.subjectGeneral Relativity and Quantum Cosmology
dc.title`Third' Quantization of Vacuum Einstein Gravity and Free Yang-Mills Theories
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