35 citations · 113 across the 10 of their papers we have counts for
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Length and distance on a quantum space
Pierre Martinetti, Luca Tomassini
This contribution is an introduction to the metric aspect of noncommutative geometry, with emphasize on the Moyal plane. Starting by questioning "how to define a standard meter in…
Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
Pierre Martinetti, Luca Tomassini
We study the metric aspect of the Moyal plane from Connes' noncommutative geometry point of view. First, we compute Connes' spectral distance associated with the natural isometric…
Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
Pierre Martinetti, Flavio Mercati, Luca Tomassini
We question the emergence of a minimal length in quantum spacetime, comparing two notions that appeared at various points in the literature: on the one side, the quantum length as…
Local aspects of free open bosonic string field theory
Luca Tomassini
We show that strictly local observables with arbitrarily small support in space-time exist in covariant free open bosonic string field theory. The main ingredient of the proof is a…
From global symmetries to local currents: the free (scalar) case in 4 dimensions
Gerardo Morsella, Luca Tomassini
Within the framework of algebraic quantum field theory, we propose a new method of constructing local generators of (global) gauge symmetries in field theoretic models, starting fr…