Quantum Regge calculus in the Lorentzian domain and its Hamiltonian formulation

Details Quantum Regge calculus in the Lorentzian domain and its Hamiltonian formulation Quantum Regge calculus in the Lorentzian domain and its Hamiltonian formulation

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3..853w&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Sept. 1, 1986, p. 853-869.

Physics

18

Gravitational Waves, Hamiltonian Functions, Lorentz Transformations, Quantum Theory, Regge Poles, Relativity, Calculus, Fourier Analysis, Space-Time Functions

Scientific paper

The Regge calculus is used to calculate the inverse free propagator in the Lorentzian domain, showing explicitly the existence of gravitational waves in Regge calculus. A background metric differing slightly from diag(-1, 1, 1, 1) is considered. Expressions for the quantities in the Arnowitt-Deser-Misner 3+1 formulation of general relativity are obtained in terms of the Regge calculus variables.

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