Canonical formalism for simplicial gravity

Grand-canonical simulation of two-dimensional simplicial gravity

The string susceptibility exponents of dynamically triangulated 2-dimensional surfaces with various topologies, such as a sphere, torus and double-torus, were calculated by the grand-canonical Monte Carlo method. These simulations were made for surfaces coupled to d-Ising spins (d=0,1,2,3,5). In each simulation the area of surface was constrained to within 1000 to 3000 of triangles, while maint...

Barbero–Immirzi field in canonical formalism of pure gravity

The Barbero–Immirzi (BI) parameter is promoted to a field and a canonical analysis is performed when it is coupled with a Nieh–Yan topological invariant. It is shown that, in the effective theory, the BI field is a canonical pseudoscalar minimally coupled with gravity. This framework is argued to be more natural than the one of the usual Holst action. Potential consequences in relation with inf...

Feynman Rules for Simplicial Gravity

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a useful guide for non-perturbative studies of gravity. The Feynman rules for Regge's simplicial lattice formulation of gravity are then discussed in detail in tw...

Simplicial Quantum Gravity

Quantum gravity on a lattice in a formulation due to Regge is reviewed in view of possible applications to renormalizable asymptoti-cally free higher derivative theories of gravity.

Simplicial Quantum Gravity