Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism

Details Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism

2010-02-02

arxiv.org/abs/1002.0526v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In this paper, we reassess the issue of deriving the propagators and identifying the spectrum of excitations associated to the vielbein and spin connection of (1+2)-D gravity in the presence of dynamical torsion, while working in the first-order formulation. A number of peculiarities is pointed out whenever the Chern-Simons term is taken into account along with a combination of bilinear terms in the torsion tensor. We present a procedure to derive the full set of propagators, based on an algebra of enlarged spin-type operators, and we discuss under which conditions the poles of the tree-level 2-point functions correspond to physical excitations that do not conflict with causality and unitarity.

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