arXiv subjects

N. Vanegas

Publications and source records attributed to N. Vanegas.

5 recordsLinked to original sources

arXiv2012

Non Linear Lorentz Transformation and Doubly Special Relativity

We generate non-linear representations of the Lorentz Group by unitary transformation over the Lorentz generators. To do that we use deformed scale transformations by introducing momentum-depending parameters. The momentum operator transformation is found to be equivalent to a particle momentum transformation. The configuration space transformation is found to depend on the old momentum operator and we show that this transformation generates models with two scales, one for the velocity ($c$) and another one for the energy. A Lagrangian formalism is proposed for these models and an effective metric for the deformed Minkowski space is found. We show that the Smolin model is one in a family of doubly special relativity. Finally we construct an ansatz for the quantization of such theories.

hep-th↗

arXiv2003

The Lorentz Group, a Galilean Approach

We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group.Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz transformation on the electromagnetic fields as well. A covariant time-derivative is introduced in order to deal with non-inertial systems. Examples of the usefulness of these results such as the rotating system and the Thomas precession, are also presented

physics.ed-ph↗

arXiv1996

Symplectic Embeddings, the Prepotentials and Automorphic Functions of $SU(1, n)\over U(1)\otimes SU(n)$

The holomorphic homogeneous prepotential encoding the special geometry of the special Kähler manifolds ${\textstyle SU(1,n)\over \textstyle U(1)\otimes SU(n)}$ is constructed using the symplectic embedding of the isometry group $SU(1,n)$ into $Sp(2n+2,{\hbox{\bf R}})$. Also the automorphic functions of these manifolds are discussed.

hep-th↗

arXiv1995

Special Geometry and Twisted Moduli in Orbifold Theories with Continuous Wilson Lines

Target space duality symmetries, which acts on Kähler and continuous Wilson line moduli, of a ${\bf Z}_N$ ($N\not=2$) 2-dimensional subspace of the moduli space of orbifold compactification are modified to include twisted moduli. These spaces described by the cosets $SU(n,1)\over SU(n)\times U(1)$ are $special$ Kähler, a fact which is exploited in deriving the extension of tree level duality transformation to include higher orders of the twisted moduli. Also, restrictions on these higher order terms are derived.

hep-th↗

arXiv1994

Unitarity Constraints for the Mass of the Higgs in the $SU(2)_L\otimes U(1)\otimes U(1)'$ Gauge Model

The critical values for the mass of the Higgs bosons, at which the theory becomes strongly interacting, are calculated using the equivalence theorem, at high energies this allows us to replace the longitudinally polarized gauge bosons in the $S$ matrix for the corresponding Goldstone bosons. An appropriate ansatz for defining the would-be Goldstone bosons in the case of an additional neutral current, beyond the minimal standard model, is also presented.

hep-ph↗