Spin Foams for the SO(4,C) BF theory and the SO(4,C) General Relativity
Suresh K Maran
TL;DR
This paper develops a spin foam model for the SO(4,C) BF theory and general relativity, deriving the Barrett-Crane intertwiner and analyzing the asymptotic behavior linked to SO(4,C) Regge calculus.
Contribution
It systematically derives the Barrett-Crane intertwiner for SO(4,C) general relativity and discusses the model's propagators and asymptotic limits.
Findings
The SO(4,C) Barrett-Crane intertwiner is unique.
The asymptotic limit aligns with SO(4,C) Regge calculus.
Propagators of the model are analyzed.
Abstract
The Spin Foam Model for the SO(4,C) BF theory is discussed. The Barrett-Crane intertwiner for the SO(4,C) general relativity is systematically derived. The SO(4,C) Barret-Crane interwiner is unique. The propagators of the SO(4,C) Barrett-Crane model are discussed. The asymptotic limit of the SO(4,C) general relativity is discussed. The asymptotic limit is controlled by the SO(4,C) Regge calculus.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories