Journal of High Energy Physics

, 2011:126

Quantum gravity: mixed states from diffeomorphism anomalies

Authors

  • A. P. Balachandran
    • Department of PhysicsSyracuse University
    • International Institute of Physics (IIP-UFRN)
    • Instituto de Fisica, Universidade de Brasilia
Article

DOI: 10.1007/JHEP11(2011)126

Cite this article as:
Balachandran, A.P. & de Queiroz, A.R. J. High Energ. Phys. (2011) 2011: 126. doi:10.1007/JHEP11(2011)126

Abstract

In a previous paper, we discussed simple examples like particle on a circle and molecules to argue that mixed states can arise from anomalous symmetries. This idea was applied to the breakdown (anomaly) of color SU(3) in the presence of non-abelian monopoles. Such mixed states create entropy as well.

In this article, we extend these ideas to the topological geons of Friedman and Sorkin in quantum gravity. The “large diffeos” or mapping class groups can become anomalous in their quantum theory as we show. One way to eliminate these anomalies is to use mixed states, thereby creating entropy. These ideas may have something to do with black hole entropy as we speculate.

Keywords

Models of Quantum GravityAnomalies in Field and String TheoriesTopological Field TheoriesSolitons Monopoles and Instantons

Copyright information

© SISSA, Trieste, Italy 2011