Real alternative to quantum gravity in loop space
Copyright policy )Real alternative to quantum gravity in loop space
We show that the Hamiltonian of four-dimensional Lorentzian gravity, defined on a space of real, SU(2)-valued connections, in spite of its non-polynomiality possesses a natural quantum analogue in a lattice-discretized formulation of the theory. This opens the way for a systematic investigation of its spectrum. The unambiguous and well-defined scalar product is that of the SU(2)-gauge theory. We also comment on various aspects of the continuum theory.
11 pages, plain TeX, Feb 96
- Utrecht University Netherlands
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Natuur- en Sterrenkunde, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Natuur- en Sterrenkunde, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
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