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