5,950 research outputs found
The Epstein-Glaser causal approach to the Light-Front QED. I: Free theory
In this work we present the study of light-front field theories in the realm
of axiomatic theory. It is known that when one uses the light-cone gauge
pathological poles arises, demanding a prescription to be
employed in order to tame these ill-defined poles and to have correct Feynman
integrals due to the lack of Wick rotation in such theories. In order to shed a
new light on this long standing problem we present here a discussion based on
the use rigorous mathematical machinery of distributions combined with physical
concepts, such as causality, to show how to deal with these singular
propagators in a general fashion without making use of any prescription. The
first step of our development will consist in showing how analytic
representation for propagators arises by requiring general physical properties
in the framework of Wightman's formalism. From that we shall determine the
equal-time (anti)commutation relations in the light-front form for the scalar,
fermionic fields and for the dynamical components of the electromagnetic field.
In conclusion, we introduce the Epstein-Glaser causal method in order to have a
mathematical rigorous treatment of the free propagators of the theory, allowing
us to discuss the general treatment for propagators of the type . Moreover, we show that at given conditions our results reproduce known
prescriptions in the literature.Comment: 34 pages, v2 matching the published versio
Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
In this paper we study the generalized electrodynamics contribution for the
electron-positron scattering process, , the
Bhabha scattering. Within the framework of the standard model, for energies
larger when compared to the electron mass, we calculate the cross section
expression for the scattering process. This quantity is usually calculated in
the framework of the Maxwell electrodynamics and, by phenomenological reasons,
corrected by a cut-off parameter. On the other hand, by considering the
generalized electrodynamics instead of Maxwell's, we can show that the effects
played by the Podolsky mass is actually a natural cut-off parameter for this
scattering process. Furthermore, by means of experimental data of Bhabha
scattering we will estimate its lower bound value. Nevertheless, in order to
have a mathematically well defined description of our study we shall present
our discussion in the framework of the Epstein-Glaser causal theory.Comment: 24 pages, V2 to match published versio
Renormalizability of generalized quantum electrodynamics
In this work we present the study of the renormalizability of the Generalized
Quantum Electrodynamics (). We begin the article by reviewing the
on-shell renormalization scheme applied to . Thereafter, we calculate
the explicit expressions for all the counter-terms at one-loop approximation
and discuss the infrared behavior of the theory as well. Next, we explore some
properties of the effective coupling of the theory which would give an
indictment of the validity regime of theory: .
Afterwards, we make use of experimental data from the electron anomalous
magnetic moment to set possible values for the theory free parameter through
the one-loop contribution of Podolsky mass-dependent term to Pauli's form
factor .Comment: 9 page
Involutive constrained systems and Hamilton-Jacobi formalism
In this paper, we study singular systems with complete sets of involutive
constraints. The aim is to establish, within the Hamilton-Jacobi theory, the
relationship between the Frobenius' theorem, the infinitesimal canonical
transformations generated by constraints in involution with the Poisson
brackets, and the lagrangian point (gauge) transformations of physical systems
Bianchi Type I Cosmology in N=2, D=5 Supergravity
The dynamics and evolution of Bianchi type I space-times is considered in the
framework of the four-dimensional truncation of a reduced theory obtained from
the N=2,D=5 supergravity. The general solution of the gravitational field
equations can be represented in an exact parametric form. All solutions have a
singular behavior at the initial/final moment, except when the space-time
geometry reduces to the isotropic flat case. Generically the obtained
cosmological models describe an anisotropic, expanding or collapsing, singular
Universe with a non-inflationary evolution for all times.Comment: revised version to appear in PR
- …