6 papers
Noncommutative Lattices as Finite Approximations and Their Noncommutative Geometries
A. P. Balachandran, G. Bimonte, E. Ercolessi +4
Lattice discretizations of continuous manifolds are common tools used in a variety of physical contexts. Conventional discrete approximations, however, cannot capture all aspects o…
Lattices and Their Continuum Limits
G. Bimonte, E. Ercolessi, G. Landi +3
We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space . The correct framework i…
Finite Quantum Physics and Noncommutative Geometry
A. P. Balachandran, G. Bimonte, E. Ercolessi +4
Conventional discrete approximations of a manifold do not preserve its nontrivial topological features. In this article we describe an approximation scheme due to Sorkin which repr…
Discretized Laplacians on an Interval and their Renormalization Group
G. Bimonte, E . Ercolessi, P. Teotonio-Sobrinho
The Laplace operator admits infinite self-adjoint extensions when considered on a segment of the real line. They have different domains of essential self-adjointness characterized…
Finite Approximations to Quantum Physics: Quantum Points and their Bundles
A. P. Balachandran, G. Bimonte, E. Ercolessi +1
There exists a physically well motivated method for approximating manifolds by certain topological spaces with a finite or a countable set of points. These spaces, which are partia…
Maxwell-Chern-Simons Electrodynamics on a Disk
A. P. Balachandran, L. Chandar, E. Ercolessi +2
The Maxwell-Chern-Simons (MCS) Lagrangian is the Maxwell Lagrangian augmented by the Chern-Simons (CS) term. In this paper, we study the MCS and Maxwell Lagrangians on a disk .…