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A First-Quantized Model for Unparticles and Gauge Theories around Conformal Window
02 décembre 2021, Lhost, Guillaume; BUISSERET, Fabien; Boulanger, Nicolas,
- CeREF Technique
,
- Article scientifique
Article scientifique
We first quantize an action proposed by Casalbuoni and Gomis in 2014 that describes two massless relativistic scalar particles interacting via a conformally invariant potential. The spectrum is a continuum of massive states that may be interpreted as unparticles. We then obtain in a similar way the mass operator for a deformed action in which two terms are introduced that break the conformal symmetry: ...
Adiabatic Invariant of Center-of-Mass Motion during Walking as a Dynamical Stability Constraint on Stride Interval Variability and Predictability
09 septembre 2022, BUISSERET, Fabien; Dehouck, Victor; Boulanger, Nicolas; HENRY, Guillaume; Piccinin, Florence; White, Olivier; DIERICK, Frédéric,
- HE Louvain en Hainaut
,
- Article scientifique
Article scientifique
Human walking exhibits properties of both stability and variability. On the one
hand, the variability of the interval of time between heel strikes is autocorrelated, i.e., not randomly
organized. On the other hand, walking is highly stereotyped and arguments from general mechanics
suggest that the stability of gait can be assessed according to invariant properties. This study aims
at proposing ...
Adiabatic invariants drive rhythmic human motion in variable gravity
01 décembre 2020, Boulanger, Nicolas; BUISSERET, Fabien; DIERICK, Frédéric; Dehouck, Victor; White, Olivier,
- CeREF Technique
,
- Article scientifique
Article scientifique
Voluntary human movements are stereotyped. When modeled in the framework of classical mechanics they are expected to minimize cost functions that may include energy, a natural candidate from a physiological point of view also. In time-changing environments, however, energy is no longer conserved—regardless of frictional energy dissipation—and it is therefore not the preferred candidate for any cost ...
Alice et le Pendule : au pays des variables actions-angles
27 octobre 2020, BUISSERET, Fabien; Boulanger, Nicolas,
- CeREF Technique
,
- Publication d'intérêt général/presse
Publication d'intérêt général/presse
Anyons in quantum mechanics with a minimal length
Article scientifique
The existence of anyons, i.e. quantum states with an arbitrary spin, is a generic feature of standard quantum mechanics in (2+1)-dimensional Minkowski spacetime. Here it is shown that relativistic anyons may exist also in quantum theories where a minimal length is present. The interplay between minimal length and arbitrary spin effects are discussed.