2.12 The constraint algebra2 Gauge-theoretic discretizations of gravity2.10 Hamiltonian lattice gravity

2.11 The measure

There is a natural measure for the quantum theory, given by the product over all lattice edges of the Haar measures dg . However, since the Ashtekar connections A are complex-valued, the gauge group is the non-compact group tex2html_wrap_inline2361, and the gauge-invariant Wilson loop functions are not square-integrable. For the alternative formulation in terms of real SU(2)-variables (see below), these problems are not present. An alternative heat kernel measure tex2html_wrap_inline2363 for holomorphic tex2html_wrap_inline2365 holonomies on the lattice was used in [146Jump To The Next Citation Point In The Article, 99Jump To The Next Citation Point In The Article].

2.12 The constraint algebra2 Gauge-theoretic discretizations of gravity2.10 Hamiltonian lattice gravity

image Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll
http://www.livingreviews.org/lrr-1998-13
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