20,160 research outputs found
Scale Invariance in a Perturbed Einstein-de Sitter Cosmology
This paper seeks to check the validity of the "apparent fractal conjecture"
(Ribeiro 2001ab: gr-qc/9909093, astro-ph/0104181), which states that the
observed power-law behaviour for the average density of large-scale
distribution of galaxies arises when some observational quantities, selected by
their relevance in average density profile determination, are calculated along
the past light cone. Implementing these conditions in the proposed set of
observational relations profoundly changes the behaviour of many observables in
the standard cosmological models. In particular, the average density becomes
observationally inhomogeneous, even in the spatially homogeneous spacetime of
standard cosmology, change which was already analysed by Ribeiro (1992b, 1993,
1994, 1995: astro-ph/9910145) for a non-perturbed model. Here we derive
observational relations in a perturbed Einstein-de Sitter cosmology by means of
the perturbation scheme proposed by Abdalla and Mohayaee (1999:
astro-ph/9810146), where the scale factor is expanded in power series to yield
perturbative terms. The differential equations derived in this perturbative
context, and other observables necessary in our analysis, are solved
numerically. The results show that our perturbed Einstein-de Sitter cosmology
can be approximately described by a decaying power-law like average density
profile, meaning that the dust distribution of this cosmology has a scaling
behaviour compatible with the power-law profile of the density-distance
correlation observed in the galaxy catalogues. These results show that, in the
context of this work, the apparent fractal conjecture is correct.Comment: 18 pages, 1 figure, LaTeX. Final version (small changes in the figure
plus some references update). Fortran code included with the LaTeX source. To
be published in "Fractals
Spotlighting quantum critical points via quantum correlations at finite temperatures
We extend the program initiated in [T. Werlang et al., Phys. Rev. Lett. 105,
095702 (2010)] in several directions. Firstly, we investigate how useful
quantum correlations, such as entanglement and quantum discord, are in the
detection of critical points of quantum phase transitions when the system is at
finite temperatures. For that purpose we study several thermalized spin models
in the thermodynamic limit, namely, the XXZ model, the XY model, and the Ising
model, all of which with an external magnetic field. We compare the ability of
quantum discord, entanglement, and some thermodynamic quantities to spotlight
the quantum critical points for several different temperatures. Secondly, for
some models we go beyond nearest-neighbors and also study the behavior of
entanglement and quantum discord for second nearest-neighbors around the
critical point at finite temperature. Finally, we furnish a more quantitative
description of how good all these quantities are in spotlighting critical
points of quantum phase transitions at finite T, bridging the gap between
experimental data and those theoretical descriptions solely based on the
unattainable absolute zero assumption.Comment: 11 pages, 12 figures, RevTex4-1; v2: published versio
Chiral-symmetry breaking and pion structure in the Covariant Spectator Theory
We introduce a covariant approach in Minkowski space for the description of
quarks and mesons that exhibits both chiral-symmetry breaking and confinement.
In a simple model for the interquark interaction the quark mass function is
obtained and used in the calculation of the pion form factor. We study the
effects of the mass function and of the different quark pole contributions on
the pion form factor.Comment: 6 pages, 5 figures, presented at Excited QCD 201
Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory
We propose a model for the quark-antiquark interaction in Minkowski space
using the Covariant Spectator Theory. We show that with an equal-weighted
scalar-pseudoscalar structure for the confining part of our interaction kernel
the axial-vector Ward-Takahashi identity is preserved and our model complies
with the Adler-zero constraint for pi-pi-scattering imposed by chiral symmetry.Comment: 4 pages, 2 figures; 21st International Conference on Few-Body
Problems in Physics, May 18 - 22, 2015, Chicago, US
Optical Properties of Strained Graphene
The optical conductivity of graphene strained uniaxially is studied within
the Kubo-Greenwood formalism. Focusing on inter-band absorption, we analyze and
quantify the breakdown of universal transparency in the visible region of the
spectrum, and analytically characterize the transparency as a function of
strain and polarization. Measuring transmittance as a function of incident
polarization directly reflects the magnitude and direction of strain. Moreover,
direction-dependent selection rules permit identification of the lattice
orientation by monitoring the van-Hove transitions. These photoelastic effects
in graphene can be explored towards atomically thin, broadband optical
elements
- …