Published August 15, 2010 | Version v1
Journal article

Regularization of the Hamiltonian constraint compatible with the spinfoam dynamics

  • 1. Centre de Physique Theorique de Luminy, Case 907, F-13288 Marseille (France)
  • 2. Universitaet Erlangen, Institut fuer Theoretische Physik III, Lehrstuhl fuer Quantengravitation Staudtstrasse 7, D-91058 Erlangen (Germany)

Description

We introduce a new regularization for Thiemann's Hamiltonian constraint. The resulting constraint can generate the 1-4 Pachner moves and is therefore more compatible with the dynamics defined by the spinfoam formalism. We calculate its matrix elements and observe the appearance of the 15j Wigner symbol in these.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
82
Journal Issue
4
Journal Page Range
p. 044007-044007.17
ISSN
0556-2821
CODEN
PRVDAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42015340
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
HAMILTONIANS; MATRIX ELEMENTS; SIMULATION; WIGNER THEORY
Descriptors DEC
MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Notes
(c) 2010 American Institute of Physics