SU(2) gauge theory of gravity with topological invariants

Details SU(2) gauge theory of gravity with topological invariants SU(2) gauge theory of gravity with topological invariants

2011-10-19

arxiv.org/abs/1110.4185v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Based on a talk at Loops-11, Madrid, Spain; To appear in Journal of Physics: Conference Series

Scientific paper

The most general gravity Lagrangian in four dimensions contains three topological densities, namely Nieh-Yan, Pontryagin and Euler, in addition to the Hilbert-Palatini term. We set up a Hamiltonian formulation based on this Lagrangian. The resulting canonical theory depends on three parameters which are coefficients of these terms and is shown to admit a real SU(2) gauge theoretic interpretation with a set of seven first-class constraints. Thus, in addition to the Newton's constant, the theory of gravity contains three (topological) coupling constants, which might have non-trivial imports in the quantum theory.

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