10,651 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
Recommended from our members
Pathways of genetic adaptation: multistep origin of mutants under selection without induced mutagenesis in Salmonella enterica.
In several bacterial systems, mutant cell populations plated on growth-restricting medium give rise to revertant colonies that accumulate over several days. One model suggests that nongrowing parent cells mutagenize their own genome and thereby create beneficial mutations (stress-induced mutagenesis). By this model, the first-order induction of new mutations in a nongrowing parent cell population leads to the delayed accumulation of visible colonies. In an alternative model (selection only), selective conditions allow preexisting small-effect mutants to initiate clones that grow and give rise to faster-growing mutants. By the selection-only model, the delay in appearance of revertant colonies reflects (1) the time required for initial clones to reach a size sufficient to allow the second mutation plus (2) the time required for growth of the improved subclone. We previously characterized a system in which revertant colonies accumulate slowly and contain cells with two mutations, one formed before plating and one after. This left open the question of whether mutation rates increase under selection. Here we measure the unselected formation rate and the growth contribution of each mutant type. When these parameters are used in a graphic model of revertant colony development, they demonstrate that no increase in mutation rate is required to explain the number and delayed appearance of two of the revertant types
Inequivalent classes of closed three-level systems
We show here that the and V configurations of three-level atomic
systems, while they have recently been shown to be equivalent for many
important physical quantities when driven with classical fields [M. B. Plenio,
Phys. Rev. A \textbf{62}, 015802 (2000)], are no longer equivalent when coupled
via a quantum field. We analyze the physical origin of such behavior and show
how the equivalence between these two configurations emerges in the
semiclassical limit.Comment: 4 pages, 1 figure. To appear as Brief Report in Physical Review
Simple quantum model for light depolarization
Depolarization of quantum fields is handled through a master equation of the
Lindblad type. The specific feature of the proposed model is that it couples
dispersively the field modes to a randomly distributed atomic reservoir, much
in the classical spirit of dealing with this problem. The depolarizing dynamics
resulting from this model is analyzed for relevant states.Comment: Improved version. Accepted for publication in the Journal of the
Optical Society of America
- …