The Spin-Foam Approach to Quantum Gravity
Copyright policy )The Spin-Foam Approach to Quantum Gravity
This article reviews the present status of the spin foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently introduced new models for four dimensional quantum gravity. The models are motivated by a suitable implementation of the path integral quantization of the Plebanski formulation of gravity on a simplicial regularization. The article also includes a self-contained treatment of the 2+1 gravity. The simple nature of the latter provides the basis and a perspective for the analysis of both conceptual and technical issues that remain open in four dimensions.
To appear in Living Reviews in Relativity
High Energy Physics - Theory, Physics and Astronomy (miscellaneous), path integral quantization, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Path integrals in quantum mechanics, simplicial regularization, Quantum gravity, FOS: Physical sciences, Review Article, General Relativity and Quantum Cosmology (gr-qc), Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), quantum gravity, spin-foam, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], Einstein's equations (general structure, canonical formalism, Cauchy problems), Atomic physics. Constitution and properties of matter, Quantization of the gravitational field, Plebanski formulation of gravity, QC170-197
High Energy Physics - Theory, Physics and Astronomy (miscellaneous), path integral quantization, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Path integrals in quantum mechanics, simplicial regularization, Quantum gravity, FOS: Physical sciences, Review Article, General Relativity and Quantum Cosmology (gr-qc), Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), quantum gravity, spin-foam, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], Einstein's equations (general structure, canonical formalism, Cauchy problems), Atomic physics. Constitution and properties of matter, Quantization of the gravitational field, Plebanski formulation of gravity, QC170-197
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