51 citations · 95 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…