Phase Transition in (2+1)d Quantum Gravity

Details Phase Transition in (2+1)d Quantum Gravity Phase Transition in (2+1)d Quantum Gravity

1994-04-05

arxiv.org/abs/hep-th/9404022v1

Physics

High Energy Physics

High Energy Physics - Theory

IFT-490-UNC, 8 pages in latex

Scientific paper

(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by introducing a mass term for the gauge fields, which carries a space-time metric and local dynamical degrees of freedom. We consider the finite temperature behavior of the symmetry broken phase, and claim a restoration of the topological invariance at some critical temperature. The phase transition is shown of the zeroth order.

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