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Publications FYMA


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21 publications trouvées pour '1997'

UCL-IPT-98-08 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Pierre Antoine, P. Vandergheynst
Titre: Wavelets on the 2-sphere and related manifolds
Références: Proc. Workshop on geometrical methods in physics (Bialowiecza, July 1997) - Reports on Mathematical Physics 43 (1999) pp. 13-24
Résumé: We present a group theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) X R^+_*, embedded into the Lorentz group SO(3,1) via the Iwasawa decomposition, and X = SO(3,1)/C. The space L^2(S^2) carries a unitary irreducible representation of SO(3,1) which is square integrable over X, and thus yields the wavelets on S^2 and the associated CWT.


UCL-IPT-98-02 : (ps.gz)
Filet Séparateur

Auteurs: D. Delepine
Titre: A Model for a Dynamically Induced Large $CP$-Violating Phase
Références: Talk given at the 7th workshop on particles and fields (21-27 November 1997, Morelia Mich., Mexico)
hep-ph/9802349
Résumé: Assuming a new interaction with a $\theta$ term for the third generation of quarks, a value of $\theta$ different from zero dynamically induces the top-bottom mass splitting and a large $CP$-violating phase.


UCL-IPT-97-25 : (pdf)
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Article : Force (Lat. vis, potentia; All. Krafft; Angl. force, strength; It. forza)
Références: Dictionnaire Européen des Lumières, PUF, Paris (1997) pp. 471-474
Résumé:


UCL-IPT-97-12 : (ps.gz)
Filet Séparateur

Auteurs: Philippe Ruelle
Titre: Modèles de Mécanique Statistique et Théories Conformes.
Références: Cours donné à Louvain-la-Neuve durant le second semestre 1997.
Résumé: Ce cours est une introduction élémentaire aux phénomènes critiques et leur description par des théories de champs conformes. L'accent est très nettement mis sur le cas bidimensionnel, qui permet une illustration particulièrement éclairante des relations entre les deux sujets. Les aspects généraux des théories conformes sont présentés : tenseur énergie-moment, algèbre de Virasoro et ses représentations, identités de Ward et calcul des fonctions de corrélations. Leur application aux modèles de mécanique statistique nécessite d'abord de confirmer la présence (attendue) de la symétrie conforme au point critique de modèles spécifiques. La facon d'y parvenir dans le cas de modèles sur réseaux est expliquée, et très largement détaillée pour le modèle de Ising. La fin est consacrée à une brève discussion de problèmes plus avancés : généralisation de modèles sur réseaux critiques et intégrables, invariance modulaire, perturbations (hors point critique) de théories conformes.


UCL-IPT-97-10
Filet Séparateur

Auteurs: G. Lopez Castro, G. Toledo Sanchez
Titre: Effects of the magnetic dipole moment of charged vector mesons in their radiative decay distribution
Références: Phys. Rev. D56 (1997) pp. 4408-4411
Résumé: We consider the effects of anomalous magnetic dipole moments of vector mesons in the decay distribution of photons emitted in two-pseudoscalar decays of charged vector mesons. By choosing a kinematical configuration appropriate to isolate these effects from model-dependent and dominant bremsstrahlung contributions, we show that this method can provide a valid alternative for a measurement of the unknown magnetic dipole moments of charged vector mesons.


UCL-IPT-97-08 : (ps.gz)
Filet Séparateur

Auteurs: S. Focant, Th. Gallay
Titre: Existence and Stability of Propagating Fronts for an Autocatalytic Reaction-Diffusion System
Références:
Résumé: We study a one-dimensional reaction-diffusion system describing an isothermal autocatalytic chemical reaction, involving both a quadratic $A+B\to 2B$ and a cubic $A+2B\to 3B$ autocatalysis. The parameters of this system are the ratio $D=D_B/D_A$ of the diffusion constants of the reactant $A$ and the autocatalyst $B$, and the relative activity $k$ of the cubic reaction. First, for all values of $D>0$ and $k\geq 0$, we prove the existence of a one-parameter family of propagating fronts describing the advance of the reaction. According to the usual terminology, these fronts are of ``pushed'' or ``pulled'' type depending on the size of $k$. In particular, in the quadratic case $k=0$, we recover the results of Billingham and Needham [BN]. Then, if $D$ is close to $1$ and $k$ is sufficiently small, we prove using energy functionals that these propagating fronts are stable against small perturbations in appropriate weighted Sobolev spaces. This extends to our system part of the stability results which are known for the scalar Fisher equation.


UCL-IPT-97-07 : (ps.gz)
Filet Séparateur

Auteurs: D. Delépine, Jean-Marc Gérard, R. Gonzalez Felipe, Jacques Weyers
Titre: A Dynamical Scheme for a Large $CP$-Violating Phase
Références: Phys. Lett. B 411 (1997) pp. 167-172
hep-ph/9705335
Résumé: A dynamical scheme where the third generation of quarks plays a distinctive role is implemented. New interactions with a $\theta$ term induce the breaking of the electroweak symmetry and the top-bottom mass splitting. A large $CP$-violating phase naturally follows from the latter.


UCL-IPT-97-06
Filet Séparateur

Auteurs: Jean-Pierre Antoine, A. Inoue, H. Ogi
Titre: Standard generalized vectors for partial O*-algebras. II
Références: Annales de l'Institut H. Poincaré 67 (1997) pp. 223-258
Résumé: We have shown previously that standard generalized vectors on a partial O*-algebra M provide a way of constructing (generalized) KMS states on M, via the Tomita-Takesaki theory of modular automorphisms. Such states would represent equilibrium states if M is the observable set of some physical system. In this paper we investigate the interplay between the automorphism groups generated by two standard generalized vectors $la$ and $mu$ on M. When M is a self-adjoint partial GW *-algebra, we prove the existence of the Connes cocycle $[Dmu:Dla]$ and we establish a Radon-Nikodym theorem, generalizing that obtained by Pedersen and Takesaki for a von Neumann algebra.


UCL-IPT-97-04 : (ps.gz)
Filet Séparateur

Auteurs: H. Gonzalez, S. R. Juarez, P. Kielanowski, G. Lopez Castro
Titre: Quark mixings as a test of a new symmetry of quark Yukawa couplings
Références:
Résumé: Based on the hierarchy exhibited by quarks masses at low energies, we assume that Yukawa couplings of up and down quarks are related by $Y_u propto Y_d^2$ at grand unification scales. This ansatz gives rise to a symmetrical CKM matrix at the grand unification (GU) scale. Using three specific models as illustrative examples for the evolution down to low energies, we obtain the entries and {em asymmetries} of the CKM matrix which are in very good agreement with their measured values. This indicates that the small asymmetry of the CKM matrix at low energies may be the effect of the renormalization group evolution only.


UCL-IPT-97-03 : (ps.gz)
Filet Séparateur

Auteurs: G. Lopez Castro
Titre: Conventional and S-matrix approaches to hadronic resonances
Références: To appear in the Proc. of the Semigroup Symposium of the XXI International Symposium on Group Theoretical Methods in Physics, 15-20 july 1996m Goslar Germany.
Résumé: We present a comparison of the conventional and S-matrix formalisms for the description of hadronic resonances in particle physics. Using the $ ho^0$ meson resonance as an illustrative example, we argue that the pole of the S-matrix provides a definition for resonance properties with suitable physical properties, namely independent of the theoretical model and background subtraction from experimental data.


UCL-IPT-97-02
Filet Séparateur

Auteurs: R. Murenzi, Jean-Pierre Antoine
Titre: Two-dimensional continuous wavelet transform as linear phase space representation of two-dimensional signals
Références: Proc. Conf. 'Wavelet Applications IV', SPIE 1997 Symposium on Aerospace/Defense Sensing, Simulation, and Controls (Orlando, April 1997), 3078 (1997) pp. 206-217
Résumé:


UCL-IPT-97-01 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Pierre Antoine, R. Murenzi, P. Vandergheynst
Titre: Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns
Références: Applied and Computational Harmonic Analysis 6 (1999) pp. 314-345
Résumé: We introduce a new class of 2-D directional wavelets, called the Cauchy wavelets, strictly supported in a (narrow) convex cone in spatial frequency space. They have excellent angular selectivity, as shown by a standard calibration test and they have minimal uncertainty. As an application, we present a new technique for determining the symmetries of a given pattern with respect to rotations and dilation.


UCL-IPT-96-25 : (ps.gz)
Filet Séparateur

Auteurs: M. Beuthe, R. Gonzalez Felipe, G. Lopez Castro, Jean Pestieau
Titre: Behaviour of the Absorptive Part of the $W^\pm$ Electromagnetic Vertex
Références: Nucl. Phys. B498 (1997) pp. 55-67
hep-ph/9611434
Résumé: The absorptive part of the $W W \gamma$ vertex induced by massive fermion loops is considered for different kinematical configurations. We show that the axial part of this vertex is different from zero not only when massive fermions are involved but also for massless fermion loops, if one of the $W$ boson is space-like and the other is time-like. We also discuss in what sense Low's soft photon theorem is satisfied.


UCL-IPT-96-22 : (ps.gz)
Filet Séparateur

Auteurs: Zhen Yun Fang, G. Lopez Castro, J.L. Lucio, Jean Pestieau
Titre: Effective $SU(2)_L \otimes U(1)$ theory and the Higgs boson mass
Références: Mod. Phys. Lett. A12 (1997) pp. 1531-1535 + fig.
hep-ph/9612430
Résumé: We assume the stability of vacuum under radiative corrections in the context of the standard electroweak theory. We find that this theory behaves as a good effective model already at cut off energy scales as low as 0.7 TeV. This stability criterion allows to predict $m_H = 318 \pm 13$ GeV for the Higgs boson mass.


UCL-IPT-96-18 : (ps.gz)
Filet Séparateur

Auteurs: Jean Bricmont, A. Kupiainen.
Titre: Renormalization Group for fronts and patterns.
Références: Proc. of the 2nd European Congress of Mathematics (Budapest, 1996), 1997
Résumé: We review recent results on the stability of stationary solutions and of moving fronts in several nonlinear parabolic partial differential equations: the Ginzburg-Landau, Swift-Hohenberg and Cahn-Hillard equations, and chemical reaction-diffusion equations. Some of these results are obtained using the Renormalization Group method.


UCL-IPT-96-14 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Pierre Antoine, Ph. Antoine et B. Piraux
Titre: Wavelets in atomic physics
Références: Workshop on Spline Functions and the Theory of Wavelets (Montréal 1996)AMS, Providence, 1997 (to appear)
Résumé:


UCL-IPT-96-11 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Marc Gérard, I. Mahara
Titre: The attractor mechanism in the minimal tensor-scalar theory of gravity
Références: Mod. Phys. Lett. A 12 (1997) pp. 631-637
Résumé: In a previous letter, we proved that the minimal tensor-scalar theory of gravity with a spatially flat Einstein metris does not generically contain an attractor mechanism towards General Relativity. Hereafter we extend our proof to the case of a spatially curved Einstein metric.


UCL-IPT-96-08
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Article : Newton
Références: Dictionnaire du patrimoine littéraire européen, Patrimoine Littéraire Européen vol. 9, De Boeck Université, Louvain-la-Neuve (1997) pp. 40-45
Résumé:


UCL-IPT-96-07
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Réversibilité, irréversibilité, un point de vue historique
Références: Louvain 77 (1997) 25-39
Résumé:


UCL-IPT-96-04 : (ps.gz)
Filet Séparateur

Auteurs: M. Bauer, A. Coste, C. Itzykson, Philippe Ruelle
Titre: Comments on the links between su(3) modular invariants, simple factors in the jacobian of Fermat curves, and rational triangular billiards.
Références: J. Geom. Phys. 22, pp. 134-189 (1997)
hep-th/9604104
Résumé: We examine the proposal made recently that the su(3) modular invariant partition functions could be related to the geometry of the complex Fermat curves. Although a number of coincidences and similarities emerge between them and certain algebraic curves related to triangular billiards, their meaning remains obscure. In an attempt to go beyond the su(3) case, we show that any rational conformal field theory determines canonically a Riemann surface.


UCL-IPT-95-15 : (ps.gz)
Filet Séparateur

Auteurs: Jean Bricmont, A. Kupiainen
Titre: Infinite dimensional SRB measures in Proc. of the International Workshop on Lattice Dynamics, Paris, 1995
Références: Physica D 103 (1997) 18-33
Résumé: We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (S RB) measure for an infinite lattice of weakly coupled expanding circle maps, and we show tha t this measure has exponential decay of space-time correlations. First, using the Perro n-Frobenius operator, one connects the dynamical system of coupled maps on a d-dimensional lattice to an equilibrium statistical mechanical model on a lattice of dimension $d+1$. This lattice model is, for weakly coupled maps, in a high-temperature phase, and we use a general, but very elementary, method to prove exponential decay of correlations at high temperatures.









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