Lorentz-violating extension of scalar QED at finite temperature

In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standard model extension (SME). We focus on both $CPT$-even and $CPT$-odd contributions. The kinetic part of the scalar sector contains a $CPT$-even symmetric Lorentz-breaking tensor, and the interaction terms include a vector contracted with the usual covariant derivative in a gauge-invariant manner. We computed the one-loop radiative corrections using dimensional regularization for both the $CPT$-even and $CPT$-odd cases. Additionally, we employed the Matsubara formalism to account for finite temperature effects.Comment: 7 pages, 2 figures, matches published version in PL

Multi-framework implementation of the problem management process

Many different information technology frameworks have been proposed to assist organizations implementing information technology. However, these frameworks are complex, difficult to implement and overlap each other turning their simultaneous implementation even more difficult to accomplish by organizations. This study proposes to develop an overlapless maturity model that not only help organizations dealing with the problems aforementioned. The model was applied and evaluated by experts in five organizations. The artefact was recognized as useful, complete and helpful in a multi-framework implementation by PM experts. This research provides contributions for academics since it distinguishes itself from the existing artefacts in the body of knowledge and is a baseline for further investigation.info:eu-repo/semantics/publishedVersio

Robust exponential decay of correlations for singular-flows

We construct open sets of Ck (k bigger or equal to 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.Comment: Final version accepted for publication with added corrections (not in official published version) after O. Butterley pointed out to the authors that the last estimate in the argument in Subsection 4.2.3 of the previous version is not enough to guarantee the uniform non-integrability condition claimed. We have modified the argument and present it here in the same Subsection. 3 figures, 34 page

Screening effects in flow through rough channels

A surprising similarity is found between the distribution of hydrodynamic stress on the wall of an irregular channel and the distribution of flux from a purely Laplacian field on the same geometry. This finding is a direct outcome from numerical simulations of the Navier-Stokes equations for flow at low Reynolds numbers in two-dimensional channels with rough walls presenting either deterministic or random self-similar geometries. For high Reynolds numbers, when inertial effects become relevant, the distribution of wall stresses on deterministic and random fractal rough channels becomes substantially dependent on the microscopic details of the walls geometry. In addition, we find that, while the permeability of the random channel follows the usual decrease with Reynolds, our results indicate an unexpected permeability increase for the deterministic case, i.e., ``the rougher the better''. We show that this complex behavior is closely related with the presence and relative intensity of recirculation zones in the reentrant regions of the rough channel.Comment: 4 pages, 5 figure