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- José L Cortés, Mikhail S Plyushchay
- 1995

A model-independent formulation of anyons as spinning particles is presented. The general properties of the classical theory of (2+1)-dimensional relativistic fractional spin particles and some properties of their quantum theory are investigated. The relationship between all the known approaches to anyons as spinning particles is established. Some… (More)

- J M Carmona, J L Cortés, J Gamboa, F Méndez
- 2008

The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated. A new dispersion relation for a free field theory with just one additional noncommutative parameter is obtained. While values for the noncommutative scale much larger than 10 −20 eV −1 are ruled out by the present experimental… (More)

- J M Carmona, J L Cortés, J Gamboa, F Méndez
- 2009

Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of " noncommutative fields ". Our description permits to break the usual particle-antiparticle degeneracy at the dispersion relation level and introduces naturally an ultraviolet and an infrared cutoff. Phenomenological… (More)

- José L Cortés, Mikhail S Plyushchay
- 1994

The vector system of linear differential equations for a field with arbitrary fractional spin is proposed using infinite-dimensional half-bounded unitary representations of the SL(2, R) group. In the case of (2j + 1)-dimensional nonunitary representations of that group, 0 < 2j ∈ Z, they are transformed into equations for spin-j fields. A local gauge… (More)

BACKGROUND
Helicobacter pylori has been strongly associated with chronic gastritis, peptic and duodenal ulcers, and it is a risk factor for gastric cancer. Three major virulence factors of H. pylori have been described: the vacuolating toxin (VacA), the cytotoxin-associated gene product (CagA) and the adhesion protein BabA2. Since considerable geographic… (More)

- Mario Atance, José Luis Cortés
- 1997

A general discussion of the renormalization of the quantum theory of a scalar field as an effective field theory is presented. The renormal-ization group equations in a mass independent renormalization scheme allow to identify the possibility to go beyond the renormalizable φ 4 theory without losing its predictive power. It is shown that there is a minimal… (More)

- Mario Atance, José Luis Cortés
- 1996

The structure of the renormalization group equations for the low energy effective theory of gravity coupled to a scalar field is presented. An approximate solution to these equations with a finite number of independent renormalized parameters can be found when the mass scale characteristic of the fluctuations in the geometry is much smaller than the Planck… (More)

- J L Cortés, J Gamboa, L Velázquez
- 1994

The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the electromagnetic field together with a direct coupling between both fields are the non trivial ingredients of the lagrangian… (More)

- R Aloisio, J M Carmona, J L Cortés, A Galante, A F Grillo, F Méndez
- 2004

In this paper we explore the problem of antiparticles in DSR1 and κ-Minkowski space-time following three different approaches inspired by the Lorentz invariant case: a) the dispersion relation, b) the Dirac equation in space-time and c) the Dirac equation in momentum space. We find that it is possible to define a map S dsr which gives the antipar-ticle… (More)

- Pedro D Alvarez, José L Cortés, Peter A Horváthy, Mikhail S Plyushchay
- 2009

A supersymmetric spin-1/2 particle in the noncommutative plane, subject to an arbitrary magnetic field, is considered, with particular attention paid to the homogeneous case. The system has three different phases, depending on the magnetic field. Due to supersymmetry, the boundary critical phase which separates the sub-and super-critical cases can be viewed… (More)