Adalto R. Gomes

Feynman propagator for the nonbirefringent CPT-even electrodynamics of the standard model extension

The CPT-even gauge sector of the standard model extension is composed of 19 components comprised in the tensor (K{sub F}){sub {mu}{nu}{rho}{sigma}}, of which nine do not yield birefringence. In this work, we examine the Maxwell electrodynamics supplemented by these nine nonbirefringent CPT-even components in aspects related to the Feynman propagator and full consistency (stability, causality, unitarity). We adopt a prescription that parametrizes the nonbirefringent components in terms of a symmetric and traceless tensor, K{sub {mu}{nu}}, and second parametrization that writes K{sub {mu}{nu}} in terms of two arbitrary four-vectors, U{sub {mu}} and V{sub {nu}}. We then explicitly evaluate the gauge propagator of this electrodynamics in a tensor closed way. In the sequel, we show that this propagator and involved dispersion relations can be specialized for the parity-odd and parity-even sectors of the tensor (K{sub F}){sub {mu}{nu}{rho}{sigma}}. In this way, we reassess some results of the literature and derive some new outcomes showing that the parity-even anisotropic sector engenders a stable, noncausal and unitary electrodynamics.

Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension

In this work, we explicitly evaluate the gauge propagator of the Maxwell theory supplemented by the CPT-even term of the standard model extension. First, we specialize our evaluation for the parity-odd sector of the tensor W{sub {mu}}{sub {nu}}{sub {rho}}{sub {sigma}}, using a parametrization that retains only the three nonbirefringent coefficients. From the poles of the propagator, it is shown that physical modes of this electrodynamics are stable, noncausal and unitary. In the sequel, we carry out the parity-even gauge propagator using a parametrization that allows to work with only the isotropic nonbirefringent element. In this case, we show that the physical modes of the parity-even sector of the tensor W are causal, stable and unitary for a limited range of the isotropic coefficient.

Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension

AbstractIn this work, we focus on some properties of the parity-even sector of the CPT-even electrodynamics of the standard model extension. We analyze how the six non-birefringent terms belonging to this sector modify the static and stationary classical solutions of the usual Maxwell theory. We observe that the parity-even terms do not couple the electric and magnetic sectors (at least in the stationary regime). The Green’s method is used to obtain solutions for the field strengths E and B at first order in the Lorentz-covariance-violating parameters. Explicit solutions are attained for point-like and spatially extended sources, for which a dipolar expansion is achieved. Finally, an Earth-based experiment is presented that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as

Effect of different approaches to decouple the dependence of nuclei-liquid surface energy on size and temperature

\left(\widetilde{\kappa}_{e-}\right)^{ij}<2.9\times10^{-20}.

Fermion localization and resonances on two-field thick branes

Tests involving the Classical Nucleation Theory (CNT) often disregard the size dependence of surface energy. Thus, the surface energy of critical nuclei is assumed to be a macroscopic quantity that depends only on the temperature of a flat surface. However, because the size of critical nuclei changes with temperature, σcl(T) should be described as a function of both temperature and size of critical nuclei. The present work examines the temperature dependence of macroscopic surface energy, decoupling it from the size dependent part. Tolman, Rasmussen and Vogelsbergers equations are used to decouple the dependence of surface energy on size, using experimental data for the following silicate glasses Li2O.2SiO2 (LS2) and Na2O.2CaO.3SiO2 (N1C2S3). These equations are successful in obtaining a decrease in σcl(T), in agreement with theoretical predictions. For all the values of δ , Tolmans equation produces the lowest values of σcl(T). Nevertheless, they are very close to the liquid/vapor surface energy (σlv), which contradicts the Stefans rule (i.e. σcl/σ lv << 1). Therefore, it is demonstrated that the assumption of the curvature dependence of surface energy does not suffice, per se, to explain the discrepancy between the experimental and theoretical values of nucleation rates.

Gauge propagator of the nonbirefringent CPT-even sector of the Standard Model Extension

The influence of Lorentz- and CPT-violating terms of the extended standard model on a semiclassical two-level system is analyzed. It is shown that the Lorentz-violating background (when coupled with the fermion sector in a vector way) is able to induce modifications on the Rabi oscillation pattern, promoting sensitive modulations on the usual oscillations. As for the term involving the coefficient coupled in an axial vector way, it brings about oscillations both on energy states and on the spin states (implied by the background). It is also seen that such backgrounds are able to yield state oscillations even in the absence of the electromagnetic field. The foreseen effects are used to establish upper bounds on the Lorentz-violating coefficients.