Search results for "Ashtekar variables"

showing 2 items of 2 documents

Simplicial Wheeler-DeWitt equation in 2+1 spacetime dimensions.

1993

We introduce an equation which rue suggest to be a simplicial counterpart to the Wheeler-DeWitt equation in 2 + 1 spacetime dimensions. Our approach is based on the use of the Ashtekar variables

PhysicsGeneral Relativity and Quantum CosmologyMatter fieldSpacetimeSpace timePath integral formulationWheeler–DeWitt equationAshtekar variablesMathematical physicsPhysical review. D, Particles and fields
researchProduct

Generalized Ashtekar variables for Palatini f(R) models

2021

We consider special classes of Palatini f(R) theories, featured by additional Loop Quantum Gravity inspired terms, with the aim of identifying a set of modified Ashtekar canonical variables, which still preserve the SU(2) gauge structure of the standard theory. In particular, we allow for affine connection to be endowed with torsion, which turns out to depend on the additional scalar degree affecting Palatini f(R) gravity, and in this respect we successfully construct a novel Gauss constraint. We analyze the role of the additional scalar field, outlining as it acquires a dynamical character by virtue of a non vanishing Immirzi parameter, and we describe some possible effects on the area ope…

PhysicsHigh Energy Physics - TheoryNuclear and High Energy Physics010308 nuclear & particles physicsImmirzi parameterGaussScalar (mathematics)FOS: Physical sciencesLoop quantum gravityGeneral Relativity and Quantum Cosmology (gr-qc)Affine connection01 natural sciencesGeneral Relativity and Quantum CosmologyAshtekar variablessymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)0103 physical sciencessymbolslcsh:QC770-798lcsh:Nuclear and particle physics. Atomic energy. RadioactivityEinstein010306 general physicsScalar fieldMathematical physics
researchProduct