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Communications in Mathematical Physics

, Volume 172, Issue 2, pp 317–358 | Cite as

Combinatorial quantization of the Hamiltonian Chern-Simons theory I

  • Anton Yu. Alekseev
  • Harald Grosse
  • Volker Schomerus
Article

Abstract

Motivated by a recent paper of Fock and Rosly [6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which is expected to reproduce the results of the continuous theory exactly. The lattice model enjoys the symmetry with respect to a quantum gauge group. Using this fact we construct the algebra of observables of the Hamiltonian Chern-Simons theory equipped with a *- operation and a positive inner product.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Gauge Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Anton Yu. Alekseev
    • 1
  • Harald Grosse
    • 2
  • Volker Schomerus
    • 3
  1. 1.Institute of Theoretical PhysicsUppsala UniversityUppsalaSweden
  2. 2.Institut für Theoretische PhysikUniversität WienAustria
  3. 3.Department of PhysicsHarvard UniversityCambridgeUSA

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