Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism
High Energy Physics - Theory
2014-11-20 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1002.0526,
title = {Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism},
author = {J. A. Helayel-Neto and L. M. de Moraes and V. J. Vasquez Otoya},
journal= {arXiv preprint arXiv:1002.0526},
year = {2014}
}