F. A. Brito

Scalar fields, bent branes, and RG flow

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investigate renormalization group flow. We have found symmetric brane solutions with four-dimensional anti-de Sitter geometry whose holographically dual field theory exhibits a weakly coupled regime at high energy.

Locally localized gravity and geometric transitions

In this paper we analyze the local localization of gravity in AdS4 thick brane embedded in AdS5 space. The 3-brane is modelled by domain wall solution of a theory with a bulk scalar field coupled to five-dimensional gravity. In addition to small four-dimensional cosmological constant, the vacuum expectation value (vev) of the scalar field controls the emergence of a localized four-dimensional quasi-zero mode. We introduce high temperature effects, and we show that gravity localization on a thick 3-brane is favored below a critical temperature Tc. These investigations suggest the appearance of another critical temperature T*, where the thick 3-brane engenders the geometric AdS/M/dS transitions.

Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP

Abstract In this paper we focus on the Hamilton–Jacobi method to determine the entropy of a self-dual black hole by using linear and quadratic GUPs (generalized uncertainty principles). We have obtained the Bekenstein–Hawking entropy of self-dual black holes and its quantum corrections that are logarithm and also of several other types.

Acoustic black holes from Abelian Higgs model with Lorentz symmetry breaking

Abstract In this Letter we derive acoustic black hole metrics in the ( 3 + 1 ) and ( 2 + 1 )-dimensional Abelian Higgs model with Lorentz symmetry breaking. In this set up the sound waves lose the Lorentz boost invariance and suffer a ‘birefringence’ effect. We have found acoustic black holes and respective Hawking temperatures depending on the Lorentz violating parameter. Furthermore, we obtain an acoustic Kerr-like black hole metric with the Lorentz violating term affecting its rate of loss of mass. We also have shown that for suitable values of the Lorentz violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole.

Supersonic Velocities in Noncommutative Acoustic Black Holes

In this paper we derive Schwarzschild and Kerr - like noncommutative acoustic black hole metrics in the (3+1)-dimensional noncommutative Abelian Higgs model. We have found that the changing in the Hawking temperature TH due to spacetime noncommutativity account for supersonic velocities and analogously may also account for superluminal particles in the general form (v c)=c = TH=8TH. Assuming this form is also valid for gravitational black holes and particle physics, we have found that for TH about the heaviest muon neutrino mass and TH about proton mass gives 2:12 10 5 which agrees with the recent OPERA experiments. We also consider the Hawking temperature in terms of surface gravity to address the issue of background inuence in the neutrino superluminality to show that our investigations also agree with supernova SN1987A measurements.

Fermion states on domain wall junctions and the flavor number

In this paper we address the problem of localizing fermion states on stable domain-wall junctions. The study focus on the consequences of intersecting six independent 8d domain walls to form 4d junctions in a ten-dimensional spacetime. This is related to the mechanism of relaxing to three space dimensions through the formation of domain-wall junctions. The model is based on six bulk real scalar fields, the φ4 model in its broken phase, the prototype of the Higgs field, and is such that the fermion and scalar modes bound to the domain walls are the zero mode and a single massive bound state, which can be regarded as a two-level system, at least at sufficiently low energy. Inside the junction, we use the fact that some states are statistically more favored to address the possibility of constraining the flavor number of the elementary fermions.

Lorentz-CPT violation, radiative corrections and finite temperature

In this work we investigate the radiatively induced Chern-Simons-like terms in four-dimensions at zero and finite temperature. We use the approach of rationalizing the fermion propagator up to the leading order in the CPT-violating coupling bμ. In this approach, we have shown that although the coefficient of Chern-Simons term can be found unambiguously in different regularization schemes at zero or finite temperature, it remains undetermined. We observe a correspondence among results obtained at finite and zero temperature.

Analogue Aharonov-Bohm effect in a Lorentz-violating background

In this paper we consider the acoustic black hole metrics obtained from a relativistic fluid under the influence of constant background that violates the Lorentz symmetry to study the analogue of the Aharonov-Bohm (AB) effect. We show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to the Lorentz symmetry breaking, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. In this limit, the Lorentz-violating background forms a conical defect, which is also responsible for the appearance of the analogue AB effect.

Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking

Abstract We investigate the possibility of the acoustic superresonance phenomenon (analog to the superradiance in black hole physics), i.e., the amplification of a sound wave by reflection from the ergoregion of a rotating acoustic black hole with Lorentz symmetry breaking. For rotating black holes the effect of superradiance corresponds to the situation where the incident waves have reflection coefficient greater than one, and energy is extracted from them. For an acoustic Kerr-like black hole its rate of loss of mass is affected by the Lorentz symmetry breaking. We also have shown that for suitable values of the Lorentz-violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole.

Induced Chern-Simons-like action in Lorentz-violating massless QED

In the present work, we study different aspects of Lorentz and CPT symmetry violation in extended massless QED. By following the observation that the 2+1-dimensional Maxwell-Chern-Simons theory can be originated from the 3+1-dimensional Chern-Simons-like action, we also focus on the fermion sector to relate the 3+1 dimensional extended massless QED to 2+1-dimensional massive QED. We take advantage of this to state that the Chern-Simons-like action in extended massless QED can be induced with its coefficient being well defined and finite just as its 2+1 counterpart. We make use of three different regularization schemes by inducting the Chern-Simons-like term in 3+1 dimensions to support the conjecture.