REAL ALTERNATIVE TO QUANTUM-GRAVITY IN LOOP SPACE

Authors
LOLL R
Citation
R. Loll, REAL ALTERNATIVE TO QUANTUM-GRAVITY IN LOOP SPACE, Physical review. D. Particles and fields, 54(8), 1996, pp. 5381-5384
Citations number
32
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
54
Issue
8
Year of publication
1996
Pages
5381 - 5384
Database
ISI
SICI code
0556-2821(1996)54:8<5381:RATQIL>2.0.ZU;2-2
Abstract
We show that the Hamiltonian constraint of four-dimensional Lorentzian gravity, defined on a space of real, SU(2)-valued connections, in spi te of its nonpolynomiality possesses a natural quantum analogue in a l attice-discretized formulation of the theory. This opens the way for a systematic search of its zero eigenvectors. The unambiguous and well- defined kinematical scalar product is that of the SU(2)-gauge theory. We also comment on various aspects of the continuum theory.