43 citations · 214 across the 16 of their papers we have counts for
16 papers
Stability and decay of composite kinks/-balls solutions in a deformed linear sigma model
A. Alonso-Izquierdo, D. Canillas Martinez, C. Garzon Sanchez +2
The defect-type solutions of a deformed linear sigma model with a real and complex fields in -dimensional Minkowski spacetime are studied. All the solutions ar…
Kinks in massive non-linear -Sigma models
A. Alonso-Izquierdo, A. J. Balseyro Sebastian, J. Mateos Guilarte +1
In this paper the whole kink varieties arising in several massive non-linear Sigma models whose target space is the torus are analytically calcul…
Orbits in the problem of two fixed centers on the sphere
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultane…
Elementary solutions of the quantum planar two center problem
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
The quantum problem of an electron moving in a plane under the field created by two Coulombian centers admits simple analytical solutions for some particular inter-center distances…
On the Quasi-Exact Solvability of the Confluent Heun Equation
M. A. Gonzalez Leon, J. Mateos Guilarte, A. Moreno Mosquera +1
It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the parameters to a particular class of Quasi-Exactly Solvable models, associated with the Lie…
Construction of new scalar field models from the standard theory
D. Bazeia, M. A. González León, L. Losano +2
In this work we study models described by a single real scalar field in two-dimensional space-time, using the deformation procedure to propose and investigate new families of model…
Factorization of supersymmetric Hamiltonians in curvilinear coordinates
M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
Planar supersymmetric quantum mechanical systems with separable spectral problem in curvilinear coordinates are analyzed in full generality. We explicitly construct the supersymmet…
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
Alberto Alonso-Izquierdo, Miguel Angel Gonzalez Leon, Juan Mateos Guilarte +1
The domain wall solutions of a Ginzburg-Landau non-linear -sigma hybrid model are unveiled. There are three types of basic topological walls and two types of degenerate famili…
Quantum fluctuations of topological -kinks
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte +1
The kink Casimir effect in the massive non-linear -sigma model is analyzed.
On the semiclassical mass of -kinks
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte +1
One-loop mass shifts to the classical masses of stable kinks arising in a massive non-linear -sigma model are computed. Ultraviolet divergences are controlled using…
Supersymmetry versus Integrability in two-dimensional Classical Mechanics
A. Alonso Izquierdo, M. A. González León, J. Mateos Guilarte +1
Supersymmetric extensions of Hamilton-Jacobi separable Liouville mechanical systems with two degrees of freedom are defined. It is shown that supersymmetry can be implemented in th…
Semi-classical mass of quantum k-component topological kinks
A. Alonso Izquierdo, W. Garcia Fuertes, M. A. Gonzalez Leon +1
We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the TK1 and TK2 kinks in a deformation of the O(N) linear sig…
Stability of Kink Defects in a Deformed O(3) Linear Sigma Model
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte
We identify the kinks of a deformed O(3) linear Sigma model as the solutions of a set of first-order systems of equations; the above model is a generalization of the MSTB model wit…
Generalized Zeta Functions and One-loop Corrections to Quantum Kink Masses
A. Alonso Izquierdo, W. Garcia Fuertes, M. A. Gonzalez Leon +1
A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function…
Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte
It is shown how a integrable mechanical system provides all the localized static solutions of a deformation of the linear O(N)-sigma model in two space-time dimensions. The proof i…
N=2 Supersymmetric Kinks and real algebraic curves
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte
The kinks of the (1+1)-dimensional Wess-Zumino model with polynomic superpotential are investigated and shown to be related to real algebraic curves.