1 citations · 1 across the 3 of their papers we have counts for
12 papers
A monoidal representation for linearized gravity
Ernesto Contreras, Cayetano Di Bartolo, Lorenzo Leal
We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in el…
Mimetic discretization of the Abelian Chern-Simons theory and link invariants
Cayetano Di Bartolo, Javier Grau, Lorenzo Leal
A mimetic discretization of the Abelian Chern-Simons theory is presented. The study relies on the formulation of a theory of differential forms in the lattice, including a consiste…
Loop Equations in Abelian Gauge Theories
Cayetano Di Bartolo, Lorenzo Leal, Francisco Peña
The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme f…
Canonical quantum gravity in the Vassiliev invariants arena: II. Constraints, habitats and consistency of the constraint algebra
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Griego +1
In a companion paper we introduced a kinematical arena for the discussion of the constraints of canonical quantum gravity in the spin network representation based on Vassiliev inva…
Canonical quantum gravity in the Vassiliev invariants arena: I. Kinematical structure
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Griego +1
We generalize the idea of Vassiliev invariants to the spin network context, with the aim of using these invariants as a kinematical arena for a canonical quantization of gravity. T…
Consistent canonical quantization of general relativity in the space of Vassiliev knot invariants
C. Di Bartolo, R. Gambini, J. Griego +1
We present a quantization of the Hamiltonian and diffeomorphism constraint of canonical quantum gravity in the spin network representation. The novelty consists in considering a sp…