Results 11  20
of
449
1 Discrete Lorentzian Quantum Gravity
, 2000
"... Just as for nonabelian gauge theories at strong coupling, discrete lattice methods are a natural tool in the study of nonperturbative quantum gravity. They have to reflect the fact that the geometric degrees of freedom are dynamical, and that therefore also the lattice theory must be formulated in ..."
Abstract
 Add to MetaCart
Just as for nonabelian gauge theories at strong coupling, discrete lattice methods are a natural tool in the study of nonperturbative quantum gravity. They have to reflect the fact that the geometric degrees of freedom are dynamical, and that therefore also the lattice theory must be formulated
Canonical quantum gravity and consistent discretizations
, 2004
"... We review a recent proposal for the construction of a quantum theory of the gravitational field. The proposal is based on approximating the continuum theory by a discrete theory that has several attractive properties, among them, the fact that in its canonical formulation it is free of constraints. ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We review a recent proposal for the construction of a quantum theory of the gravitational field. The proposal is based on approximating the continuum theory by a discrete theory that has several attractive properties, among them, the fact that in its canonical formulation it is free of constraints
Spin Networks and Quantum Gravity
"... We introduce a new basis on the state space of nonperturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation and the connection representation, and are labeled by a generalization of Penrose's spin networks. The new basis f ..."
Abstract

Cited by 42 (6 self)
 Add to MetaCart
We introduce a new basis on the state space of nonperturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation and the connection representation, and are labeled by a generalization of Penrose's spin networks. The new basis
LABELED CAUSETS IN DISCRETE QUANTUM GRAVITY
"... We point out that labeled causets have a much simpler structure than unlabeled causets. For example, labeled causets can be uniquely specified by a sequence of integers. Moreover, each labeled causet processes a unique predecessor and hence has a unique history. Our main result shows that an arbitra ..."
Abstract
 Add to MetaCart
that an arbitrary quantum sequential growth process (QSGP) on the set of labeled causets “compresses ” in a natural way onto a QSGP on the set of unlabeled causets. The price we have to pay is that this procedure causes an “explosion ” of values due to multiplicities. We also observe that this procedure
Quantum gravity phenomenology, Lorentz invariance and discreteness”, Mod
 Phys. Lett
, 2004
"... Contrary to what is often stated, a fundamental spacetime discreteness need not contradict Lorentz invariance. A causal set’s discreteness is in fact locally Lorentz invariant, and we recall the reasons why. For illustration, we introduce a phenomenological model of massive particles propagating in ..."
Abstract

Cited by 23 (2 self)
 Add to MetaCart
in a Minkowski spacetime which arises from an underlying causal set. The particles undergo a Lorentz invariant diffusion in phase space, and we speculate on whether this could have any bearing on the origin of high energy cosmic rays. In discrete approaches to quantum gravity, the fundamental
Liouville quantum gravity and KPZ
, 2008
"... Consider a bounded planar domain D, an instance h of the Gaussian free field on D, with Dirichlet energy (2π) −1 ∇h(z) · ∇h(z)dz, and a constant 0 ≤ γ < 2. D The Liouville quantum gravity measure on D is the weak limit as ε → 0 of the measures ε γ2 /2 γhε(z) e dz, where dz is Lebesgue measure on ..."
Abstract

Cited by 37 (6 self)
 Add to MetaCart
we view as a probabilistic formulation of the KPZ relation from conformal field theory. We also present a boundary analog of KPZ (for subsets of ∂D). We illustrate (via heuristics and announced results) the connection between discrete and continuum quantum gravity and provide a framework
Discrete Gravity Models and Loop Quantum Gravity: a Short Review
 SIGMA
, 2012
"... We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries
Automorphisms in Loop Quantum Gravity
, 2008
"... We investigate a certain distributional extension of the group of spatial diffeomorphisms in Loop Quantum Gravity. This extension, which is given by the automorphisms Aut(P) of the path groupoid P, was proposed by Velhinho and is inspired by category theory. This group is much larger than the group ..."
Abstract
 Add to MetaCart
We investigate a certain distributional extension of the group of spatial diffeomorphisms in Loop Quantum Gravity. This extension, which is given by the automorphisms Aut(P) of the path groupoid P, was proposed by Velhinho and is inspired by category theory. This group is much larger than the group
Results 11  20
of
449