118 citations · 345 across the 21 of their papers we have counts for
8 papers · 1 filter
Renormalization on the DFR Quantum Spacetime
J. F. López, A. F. Reyes-Lega
An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use o…
A -Topological Index as a -State Index
N. J. B. Aza, L. C. P. A. M. Müssnich, A. F. Reyes-Lega
Within the setting of infinite dimensional self-dual -algebras describing fermions in the -lattice, we depart from the well-known Araki-Evans…
A -Topological Index for Quasi-Free Fermions
N. J. B. Aza, A. F. Reyes-Lega, L. A. Sequera M
We use infinite dimensional self-dual -algebras to study a -index, which classifies free-fermion systems embedded on disorder…
Counting an infinite number of points: a testing ground for renormalization methods
Li Guo, Sylvie Paycha, Bin Zhang
This is a leisurely introductory account addressed to non-experts and based on previous work by the authors, on how methods borrowed from physics can be used to "count" an infinite…
Algebraic Approach to Entanglement and Entropy
A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz +1
We present a general approach to quantum entanglement and entropy that is based on algebras of observables and states thereon. In contrast to more standard treatments, Hilbert spac…
On the geometry of quantum indistinguishability
A. F. Reyes-Lega
An algebraic approach to the study of quantum mechanics on configuration spaces with a finite fundamental group is presented. It uses, in an essential way, the Gelfand-Naimark and…
On the Geometry of the Berry-Robbins Approach to Spin-Statistics
A. F. Reyes-Lega, N. A. Papadopoulos
Within a geometric and algebraic framework, the structures which are related to the spin-statistics connection are discussed. A comparison with the Berry-Robbins approach is made.…
Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability
C. Benavides, A. F. Reyes-Lega
Using the method of canonical group quantization, we construct the angular momentum operators associated to configuration spaces with the topology of (i) a sphere and (ii) a projec…