95 citations · 846 across the 39 of their papers we have counts for
18 papers · 1 filter
κ-deformed spin-1/2 field
Tadeusz Adach, Andrea Bevilacqua, Jerzy Kowalski-Glikman +2
In this paper, we investigate the Poincaré and discrete symmetries of a -deformed spin- field, extending recent results obtained for scalar fields. We construct an act…
Asymmetry in momentum space: restoring invariance of -field theory
Tadeusz Adach, Andrea Bevilacqua, Jerzy Kowalski-Glikman +1
The positive and negative energy modes of a field theory in -Minkowski/-Poincaré noncommutative spacetime have very different symmetry properties. This can be understood geom…
Covariant four dimensional differential calculus in -Minkowski
Giacomo Rosati
It is generally believed that it is not possible to have a four dimensional differential calculus in -Minkowski spacetime, with -Poincaré relativistic symmetries, covariant u…
-deformed complex fields and discrete symmetries
Michele Arzano, Andrea Bevilacqua, Jerzy Kowalski-Glikman +2
We present a construction of -deformed complex scalar field theory with the objective of shedding light on the way discrete symmetries and CPT invariance are affected by the def…
Path integral quantization of a spinning particle
Jerzy Kowalski-Glikman, Giacomo Rosati
Following the idea of Alekseev and Shatashvili we derive the path integral quantization of a modified relativistic particle action that results in the Feynman propagator of a free…
Non-commutative Fourier transform for the Lorentz group via the Duflo map
Daniele Oriti, Giacomo Rosati
We defined a non-commutative algebra representation for quantum systems whose phase space is the cotangent bundle of the Lorentz group, and the non-commutative Fourier transform en…