224 citations · 1.1k across the 28 of their papers we have counts for
28 papers
Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
Joseph C. Várilly, José M. Gracia-Bondía
The topology of the Moyal -algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the co…
Algebras of distributions suitable for phase-space quantum mechanics. I
José M. Gracia-Bondía, Joseph C. Várilly
The twisted product of functions on is extended to a -algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of com…
Huygens and
Mark B. Villarino, Joseph C. Varilly
The Dutch scientist Christiaan Huygens refined Archimedes' celebrated geometrical computation of to its highest point. Yet the rich content of his beautiful treatise \emph{De c…
The Kirillov picture for the Wigner particle
J. M. Gracia-Bondia, F. Lizzi, J. C. Varilly +1
We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unit…
String chopping and time-ordered products of linear string-localized quantum fields
Lucas T. Cardoso, Jens Mund, Joseph C. Várilly
For a renormalizability proof of perturbative models in the Epstein--Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of…
The chirality theorem
José M. Gracia-Bondía, Jens Mund, Joseph C. Várilly
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.