236 citations · 375 across the 14 of their papers we have counts for
14 papers
Quantum Spacetime and Algebraic Quantum Field Theory
Dorothea Bahns, Sergio Doplicher, Gerardo Morsella +1
We review the investigations on the quantum structure of spactime, to be found at the Planck scale if one takes into account the operational limitations to localization of events w…
Comment on "Can we measure structures to a precision better than the Planck length?"[arXiv:1205.3636], by Sabine Hossenfelder
Sergio Doplicher, Gherardo Piacitelli, Luca Tomassini +1
First principles do imply a non-zero minimal distance between events in spacetime, but no positive lower bound to the precision of the measurement of a single coordinate.
Aspects of Quantum Field Theory on Quantum Spacetime
Gherardo Piacitelli
We provide a minimal, self-contained introduction to the covariant DFR flat quantum spacetime, and to some partial results for the corresponding quantum field theory. Explicit equa…
Poincaré Covariant k-Minkowski Spacetime
Ludwik Dabrowski, Gherardo Piacitelli
A fully Poincare' covariant model is constructed out of the k-Minkowski spacetime. Covariance is implemented by a unitary representation of the Poincare' group, and thus complies w…
Canonical k-Minkowski Spacetime
Ludwik Dabrowski, Gherardo Piacitelli
A complete classification of the regular representations of the relations [T,X_j] = (i/k)X_j, j=1,...,d, is given. The quantisation of RxR^d canonically (in the sense of Weyl) asso…
Quantum Spacetime: a Disambiguation
Gherardo Piacitelli
We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible…
Lorentz Covariant k-Minkowski Spacetime
Ludwik Dabrowski, Michal Godlinski, Gherardo Piacitelli
In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal can…
The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations
Ludwik Dabrowski, Gherardo Piacitelli
Starting from a discussion of the concrete representations of the coordinates of the k-Minkowski spacetime (in 1+1 dimensions, for simplicity), we explicitly compute the associated…
Twisted Covariance and Weyl Quantisation
Gherardo Piacitelli
In this letter we wish to clarify in which sense the tensor nature of the commutation relations [x^mu,x^nu]=i theta ^{mu nu} underlying Minkowski spacetime quantisation cannot be s…
DFR Perturbative Quantum Field theory on Quantum Space Time, and Wick Reduction
Gherardo Piacitelli
We discuss the perturbative approach a` la Dyson to a quantum field theory with nonlocal self-interaction :phi*...*phi:, according to Doplicher, Fredenhagen and Roberts (DFR). In p…
Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products
D. Bahns, S. Doplicher, K. Fredenhagen +1
We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We the…
Non Local Theories: New Rules for Old Diagrams
Gherardo Piacitelli
We show that a general variant of the Wick theorems can be used to reduce the time ordered products in the Gell-Mann & Low formula for a certain class on non local quantum field th…
Any compact group is a gauge group
Sergio Doplicher, Gherardo Piacitelli
The assignment of local observables in the vacuum sector, fulfilling the standard axioms of local quantum theory, is known to determine uniquely a compact group G of gauge transfor…
On the unitarity problem in space/time noncommutative theories
D. Bahns, S. Doplicher, K. Fredenhagen +1
It is shown that the violation of unitarity observed in space/time noncommutative field theories is due to an improper definition of quantum field theory on noncommutative spacetim…