52 citations · 113 across the 6 of their papers we have counts for
6 papers
Modified Mean Field approximation for the Ising Model
Cayetano Di Bartolo, Lorenzo Leal
We study a modified mean-field approximation for the Ising Model in arbitrary dimension. Instead of taking a "central" spin, or a small "drop" of fluctuating spins coupled to the e…
Uniform discretizations: a new approach for the quantization of totally constrained systems
Miguel Campiglia, Cayetano Di Bartolo, Rodolfo Gambini +1
We discuss in detail the uniform discretization approach to the quantization of totally constrained theories. This approach allows to construct the continuum theory of interest as…
Uniform discretizations: a quantization procedure for totally constrained systems including gravity
Miguel Campiglia, Cayetano Di Bartolo, Rodolfo Gambini +1
We present a new method for the quantization of totally constrained systems including general relativity. The method consists in constructing discretized theories that have a well…
Dirac-like approach for consistent discretizations of classical constrained theories
Cayetano Di Bartolo, Rodolfo Gambini, Rafael Porto +1
We analyze the canonical treatment of classical constrained mechanical systems formulated with a discrete time. We prove that under very general conditions, it is possible to intro…
Consistent and mimetic discretizations in general relativity
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Pullin
A discretization of a continuum theory with constraints or conserved quantities is called mimetic if it mirrors the conserved laws or constraints of the continuum theory at the dis…
Canonical quantization of constrained theories on discrete space-time lattices
Cayetano Di Bartolo, Rodolfo Gambini, Jorge Pullin
We discuss the canonical quantization of systems formulated on discrete space-times. We start by analyzing the quantization of simple mechanical systems with discrete time. The qua…