1,757 research outputs found
Scalar fields on SL(2,R) and H^2 x R geometric spacetimes and linear perturbations
Using appropriate harmonics, we study the future asymptotic behavior of
massless scalar fields on a class of cosmological vacuum spacetimes. The
spatial manifold is assumed to be a circle bundle over a higher genus surface
with a locally homogeneous metric. Such a manifold corresponds to the
SL(2,R)-geometry (Bianchi VIII type) or the H^2 x R-geometry (Bianchi III
type). After a technical preparation including an introduction of suitable
harmonics for the circle-fibered Bianchi VIII to separate variables, we derive
systems of ordinary differential equations for the scalar field. We present
future asymptotic solutions for these equations in a special case, and find
that there is a close similarity with those on the circle-fibered Bianchi III
spacetime. We discuss implications of this similarity, especially to
(gravitational) linear perturbations. We also point out that this similarity
can be explained by the "fiber term dominated behavior" of the two models.Comment: 23 pages, no figures, to be published in Class. Quant. Gravi
Perturbations of Spatially Closed Bianchi III Spacetimes
Motivated by the recent interest in dynamical properties of topologically
nontrivial spacetimes, we study linear perturbations of spatially closed
Bianchi III vacuum spacetimes, whose spatial topology is the direct product of
a higher genus surface and the circle. We first develop necessary mode
functions, vectors, and tensors, and then perform separations of (perturbation)
variables. The perturbation equations decouple in a way that is similar to but
a generalization of those of the Regge--Wheeler spherically symmetric case. We
further achieve a decoupling of each set of perturbation equations into
gauge-dependent and independent parts, by which we obtain wave equations for
the gauge-invariant variables. We then discuss choices of gauge and stability
properties. Details of the compactification of Bianchi III manifolds and
spacetimes are presented in an appendix. In the other appendices we study
scalar field and electromagnetic equations on the same background to compare
asymptotic properties.Comment: 61 pages, 1 figure, final version with minor corrections, to appear
in Class. Quant. Gravi
On the equivalence of two deformation schemes in quantum field theory
Two recent deformation schemes for quantum field theories on the
two-dimensional Minkowski space, making use of deformed field operators and
Longo-Witten endomorphisms, respectively, are shown to be equivalent.Comment: 14 pages, no figure. The final version is available under Open
Access. CC-B
Unitary vertex algebras and Wightman conformal field theories
We prove an equivalence between the following notions: (i) unitary Mobius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call uniformly bounded order. Reading this equivalence in one direction, we obtain new analytic and operator-theoretic information about vertex operators. In the other direction we characterize OPEs of Wightman fields and show they satisfy the axioms of a vertex algebra. As an application we establish new results linking unitary vertex operator algebras with conformal nets
Future asymptotic expansions of Bianchi VIII vacuum metrics
Bianchi VIII vacuum solutions to Einstein's equations are causally
geodesically complete to the future, given an appropriate time orientation, and
the objective of this article is to analyze the asymptotic behaviour of
solutions in this time direction. For the Bianchi class A spacetimes, there is
a formulation of the field equations that was presented in an article by
Wainwright and Hsu, and in a previous article we analyzed the asymptotic
behaviour of solutions in these variables. One objective of this paper is to
give an asymptotic expansion for the metric. Furthermore, we relate this
expansion to the topology of the compactified spatial hypersurfaces of
homogeneity. The compactified spatial hypersurfaces have the topology of
Seifert fibred spaces and we prove that in the case of NUT Bianchi VIII
spacetimes, the length of a circle fibre converges to a positive constant but
that in the case of general Bianchi VIII solutions, the length tends to
infinity at a rate we determine.Comment: 50 pages, no figures. Erronous definition of Seifert fibred spaces
correcte
Neutrino masses and mixing from S4 flavor twisting
We discuss a neutrino mass model based on the S4 discrete symmetry where the
symmetry breaking is triggered by the boundary conditions of the bulk
right-handed neutrino in the fifth spacial dimension. While the symmetry
restricts bare mass parameters to flavor-diagonal forms, the viable mixing
angles emerge from the wave functions of the Kaluza-Klein modes which carry
symmetry breaking effect. The magnitudes of the lepton mixing angles,
especially the reactor angle is related to the neutrino mass patterns and the
model will be tested in future neutrino experiments, e.g., an early (late)
discovery of the reactor angle favors the normal (inverted) hierarchy. The size
of extra dimension has a connection to the possible mass spectrum; a small
(large) volume corresponds to the normal (inverted) mass hierarchy.Comment: 22 pages, 3 figures; added references for section
Democratic Neutrino Mixing and Radiative Corrections
The renormalization effect on a specific ansatz of lepton mass matrices,
arising naturally from the breaking of flavor democracy for charged leptons and
that of mass degeneracy for light neutrinos, is studied from a superhigh energy
scale M_0 \sim 10^{13} GeV to the electroweak scale in the framework of the
minimal supersymmetric standard model. We find that the democratic neutrino
mixing pattern obtained from this ansatz may in general be instable against
radiative corrections. With the help of similar flavor symmetries we prescribe
a slightly different scheme of lepton mass matrices at the scale M_0, from
which the democratic mixing pattern of lepton flavors can be achieved, after
radiative corrections, at the experimentally accessible scales.Comment: RevTex 8 pages. Phys. Rev. D (in printing
Identificação das Oportunidades de Desenvolvimento de Alianças Estratégicas a partir da Análise dos Stakeholders: um estudo em uma IES paraense.
O presente estudo tem como objetivo identificar as oportunidades de desenvolvimento de alianças estratégicas a partir da analise dos stakeholders de uma IES que atua na Região Metropolitana de Belém desde o primeiro semestre do ano de 2000 e que, hoje, oferta cinco cursos superiores para esta região. Utilizou o método de estudo de caso do tipo qualiquantitativo (Yin, 2005) para identificar e classificar os stakeholders da IES estudada com base nos estudos de Mitchell, Agle e Wood (1997) e Yoshino e Rangan (1996); como instrumentos de coleta de dados foram utilizados entrevista semi-estruturada (para os dados qualitativos) e questionário (dados quantitativos). Os resultados identificaram três grupos de stakeholders passíveis de ser formada aliança estratégica (clientes institucionais, Fundação Getúlio Vargas e os Parceiros Técnico-Científicos) e dois tipos de alianças possíveis de ser formadas (pré-competitiva e pró-competitiva). A conclusão apresentada é que a IES sob análise tem oportunidade de desenvolver alianças estratégicas do tipo pré-competitiva (com os clientes institucionais e parceiros técnico-científicos) e pró-competitiva (Fundação Getúlio Vargas) com seus stakeholders definitivos com o intuito de melhorar a sua competitividade no mercado da região metropolitana de Belém
Mathematics Indicates That an HIV-Style Strategy Could Be Applied to Manage the Coronavirus
We have learned to live with many potentially deadly viruses for which there
is no vaccine, no immunity, and no cure. We do not live in constant fear of
these viruses, instead, we have learned how to outsmart them and reduce the
harm they cause. A new mathematical model that combines the spread of diseases
that do not confer immunity together with the evolution of human behaviors
indicates that we may be able to fight new diseases with the same type of
strategy we use to fight viruses like HIV.Comment: This article is available open access online here:
https://link.springer.com/chapter/10.1007%2F16618_2020_2
Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
We investigate the Friedberg-Lee (FL) symmetry and its promotion to include
the symmetry, and call that the twisted FL symmetry.Based on the
twisted FL symmetry, two possible schemes are presented toward the realistic
neutrino mass spectrum and the tri-bimaximal mixing.In the first scheme, we
suggest the semi-uniform translation of the FL symmetry.The second one is based
on the permutation family symmetry.The breaking terms, which are twisted
FL symmetric, are introduced.Some viable models in each scheme are also
presented.Comment: 14 pages, no figure. v2: 16 pages, modified some sentences, appendix
added, references added. v3: 14 pages, composition simplified, accepted
version in EPJ
- …