51 citations · 95 across the 9 of their papers we have counts for
9 papers
Consistent discretizations and quantum gravity
Rodolfo Gambini, Jorge Pullin
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 th…
Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant
Rodolfo Gambini, Jorge Pullin
We consider general relativity with a cosmological constant as a perturbative expansion around a completely solvable diffeomorphism invariant field theory. This theory is the $Λ\to…
Yang-Mills analogues of the Immirzi ambiguity
R. Gambini, O. Obregon, J. Pullin
We draw parallels between the recently introduced ``Immirzi ambiguity'' of the Ashtekar-like formulation of canonical quantum gravity and other ambiguities that appear in Yang-Mill…
Loop Variables for compact two-dimensional quantum electrodynamics
R. Gambini, H. A. Morales-Tecotl, L. F. Urrutia +1
Variables parametrized by closed and open curves are defined to reformulate compact U(1) Quantum Electrodynamics in the circle with a massless fermion field. It is found that the g…
On the Path Integral Loop Representation of (2+1) Lattice Non-Abelian Theory
J. M. Aroca, H. Fort, R. Gambini
A gauge invariant Hamiltonian representation for SU(2) in terms of a spin network basis is introduced. The vectors of the spin network basis are independent and the electric part o…
Worldsheet Formulation for Lattice Staggered Fermions
J. M. Aroca, H. Fort, R. Gambini
The worldsheet formulation is introduced for lattice gauge theories with dynamical fermions. The partition function of lattice compact QED with staggered fermions is expressed as a…
The Path Integral for the Loop Representation of Lattice Gauge Theories
J. M. Aroca, H. Fort, R. Gambini
We show how the Hamiltonian lattice loop representation can be cast straightforwardly in the path integral formalism. The procedure is general for any gauge theory. Here we present…
Fractional Statistics in Three Dimensions: Compact Maxwell-Higgs System
H. Fort, R. Gambini
We show that a (3+1)-dimensional system composed of an open magnetic vortex and an electrical point charge exhibits the phenomenon of Fermi-Bose transmutation. In order to provide…
Knot Invariants for Intersecting Loops
D. Armand Ugon, R. Gambini, P. Mora
We generalize the braid algebra to the case of loops with intersections. We introduce the Reidemeister moves for 4 and 6-valent vertices to have a theory of rigid vertex equivalenc…