After an introduction to (2+1)-dimensional gravity, the non-trivial topologies approach is discussed in both the first-order (connection) and second-order (metric) formalisms. The classical solutions for g=1, the torus, are discussed and shown to be related by a time-dependent canonical transformation. Their relative quantisations are compared and shown to differ by terms of $(\hbar^3)$.

Exact Quantisation of 2+1 Gravity on the torus

NELSON, Jeanette Ethel
1996-01-01

Abstract

After an introduction to (2+1)-dimensional gravity, the non-trivial topologies approach is discussed in both the first-order (connection) and second-order (metric) formalisms. The classical solutions for g=1, the torus, are discussed and shown to be related by a time-dependent canonical transformation. Their relative quantisations are compared and shown to differ by terms of $(\hbar^3)$.
1996
Workshop on Gauge Theories, Applied Supersymmetry, Quantum Gravity
Leuven, Belgio
10-14 luglio 1995
Gauge Theories, Applied Supersymmetry, Quantum Gravity. Leuven Notes in Mathematical and Theoretical Physics 06
Edited by: B. de Wit, A. Sevrin, K. Stelle, M. Tonin, W. Troost, P. Van Nieuwenhuizen, A. van Proeyen Leuven University Press
251
260
9789061867333
http://upers.kuleuven.be/en/titel/9789061867333
J. E. NELSON
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/58937
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