Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality

Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The effective action is written in terms of the Wess-Zumino-Novikov-Witten (WZNW) action associated to an affine Lie algebra, and an off-critical theory is obtained as the result of the spontaneous breakdown of the conformal symmetry. Moreover, the off-critical theory presents a remarkable equivalence between the Noether and topological currents of the model. Related to the off-critical model we define a real and local lagrangian provided some reality conditions are imposed on the fields of the model. This real action model is expected to describe the soliton sector of the original model, and turns out to be the master action from which we uncover the weak-strong phases described by (generalized) massive Thirring and sine-Gordon type models, respectively. The case of any (untwisted) affine Lie algebra furnished with the principal gradation is studied in some detail. The example of s^l(n) (n = 2, 3) is presented explicitly. © SISSA/ISAS 2003.

Absence of Klein's paradox for massive spinless bosons coupled by a nonminimal vector interaction

A few properties of the nonminimal vector interaction in the Duffin-Kemmer-Petiau theory in the scalar sector are revised. In particular, it is shown that the nonminimal vector interaction has been erroneously applied to the description of elastic meson-nucleus scatterings and that the space component of the nonminimal vector interaction plays a peremptory role for the confinement of bosons whereas its time component contributes to the leakage. Scattering in a square step potential is used to show that Klein's paradox does not manifest in the case of a nonminimal vector coupling. Copyright © owned by the author(s) under the terms of the Creative Commons Attribution- NonCommercial-ShareAlike Licence.

Topologically massive yang-mills field on the null-plane: A hamilton-jacobi approach

Non-abelian gauge theories are super-renormalizable in 2+1 dimensions and suffer from infrared divergences. These divergences can be avoided by adding a Chern-Simons term, i.e., building a Topologically Massive Theory. In this sense, we are interested in the study of the Topologically Massive Yang-Mills theory on the Null-Plane. Since this is a gauge theory, we need to analyze its constraint structure which is done with the Hamilton-Jacobi formalism. We are able to find the complete set of Hamiltonian densities, and build the Generalized Brackets of the theory. With the GB we obtain a set of involutive Hamiltonian densities, generators of the evolution of the system. © 2010 American Institute of Physics.

Chiral symmetry breaking with a confining propagator and dynamically massive gluons

Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has the form 1/(k2 +m2)2 and we study the bifurcation equation finding limits on the parameter m below which a satisfactory fermion mass solution is generated. Since the coupling constant and gluon propagator are damped in the infrared, due to the presence of a dynamical gluon mass, the major part of the chiral breaking is only due to the confining propagator and related to the low momentum region of the gap equation. We study the asymptotic behavior of the gap equation containing this confinement effect and massive gluon exchange, and find that the symmetry breaking can be approximated by an effective four-fermion interaction generated by the confining propagator. We compute some QCD chiral parameters as a function of m, finding values compatible with the experimental data. We find a simple approximate relation between the fermion condensate and dynamical mass for a given representation as a function of the parameters appearing in the effective confining propagator. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

Chaotic diffusion caused by close encounters with several massive asteroids: II. the regions of (10) Hygiea, (2) Pallas, and (31) Euphrosyne

Context. Close encounters with (1) Ceres and (4) Vesta, the two most massive bodies in the main belt, are known to be a mechanism of dynamical mobility able to significantly alter proper elements of minor bodies, and they are the main source of dynamical mobility for medium-sized and large asteroids (D > 20 km, approximately). Recently, it has been shown that drift rates caused by close encounters with massive asteroids may change significantly on timescales of 30 Myr when different models (i.e., different numbers of massive asteroids) are considered. Aims. So far, not much attention has been given to the case of diffusion caused by the other most massive bodies in the main belt: (2) Pallas, (10) Hygiea, and (31) Euphrosyne, the third, fourth, and one of the most massive highly inclined asteroids in the main belt, respectively. Since (2) Pallas is a highly inclined object, relative velocities at encounter with other asteroids tend to be high and changes in proper elements are therefore relatively small. It was thus believed that the scattering effect caused by highly inclined objects in general should be small. Can diffusion by close encounters with these asteroids be a significant mechanism of long-term dynamical mobility? Methods. By performing simulations with symplectic integrators, we studied the problem of scattering caused by close encounters with (2) Pallas, (10) Hygiea, and (31) Euphrosyne when only the massive asteroids (and the eight planets) are considered, and the other massive main belt asteroids and non-gravitational forces are also accounted for. Results. By finding relatively small values of drift rates for (2) Pallas, we confirm that orbital scattering by this highly inclined object is indeed a minor effect. Unexpectedly, however, we obtained values of drift rates for changes in proper semi-major axis a caused by (10) Hygiea and (31) Euphrosyne larger than what was previously found for scattering by (4) Vesta. These high rates may have repercussions on the orbital evolution and age estimate of their respective families. © 2013 ESO.

Note on linearized new massive gravity in arbitrary dimensions

By means of a triple master action we deduce here a linearized version of the new massive gravity (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a generalized Weyl symmetry. The action is formulated in terms of a traceless ημνΩμνρ=0 mixed symmetry tensor Ωμνρ=-Ωμρν and corresponds to the massive Fierz-Pauli action with the replacement e μν=∂ρΩμνρ. The linearized 3D and 4D NMG theories are recovered via the invertible maps Ωμνρ=Ïμνρβhβμ and Ωμνρ=ÏμνργδT [γδ]μ respectively. The properties h μν=hνμ and T[[γδ]μ]= 0 follow from the traceless restriction. The equations of motion of the linearized NMG theory can be written as zero curvature conditions ∂νTρμ-∂ρT νμ=0 in arbitrary dimensions. © 2013 American Physical Society.

Chiral symmetry, massive gluons and confinement

It is quite difficult to obtain non-trivial chiral symmetry breaking solutions for the quark gap equation in the presence of dynamically generated gluon masses. An effective confining propagator has recently been proposed by Cornwall in order to solve this problem. We study phenomenological consequences of this approach, showing its compatibility with the experimental data. We argue that this confining propagator should be restricted to a small region of momenta, leading to effective four-fermion interactions at low energy. © 2013 American Institute of Physics.

Correspondence between the self-dual model and the topologically massive electrodynamics: A new view

Following the study of the Topologically Massive Theories under the Hamilton-Jacobi, we now analyze the constraint structure of the Self-Dual model as well as its correspondence with the Topologically Massive Electrodynamics. © 2013 American Institute of Physics.

Massive spin-2 particle from a rank-2 tensor

Here we obtain all possible second-order theories for a rank-2 tensor which describe a massive spin-2 particle. We start with a general second-order Lagrangian with ten real parameters. The absence of lower-spin modes and the existence of two local field redefinitions leads us to only one free parameter. The solutions are split into three one-parameter classes according to the local symmetries of the massless limit. In the class which contains the usual massive Fierz-Pauli theory, the subset of spin-1 massless symmetries is maximal. In another class where the subset of spin-0 symmetries is maximal, the massless theory is invariant under Weyl transformations and the mass term does not need to fit into the form of the Fierz-Pauli mass term. In the remaining third class neither the spin-1 nor the spin-0 symmetry is maximal and we have a new family of spin-2 massive theories. © 2013 American Physical Society.

Note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

It is possible to show that there are three independent families of models describing a massive spin-2 particle via a rank-2 tensor. One of them contains the massive Fierz-Pauli model, the only case described by a symmetric tensor. The three families have different local symmetries in the massless limit and can not be interconnected by any local field redefinition. We show here, however, that they can be related with the help of a decoupled and nondynamic (spectator) field. The spectator field may be either an antisymmetric tensor B μν=-Bνμ, a vector Aμ or a scalar field φ, corresponding to each of the three families. The addition of the extra field allows us to formulate master actions which interpolate between the symmetric Fierz-Pauli theory and the other models. We argue that massive gravity models based on the Fierz-Pauli theory are not expected to be equivalent to possible local self-interacting theories built up on top of the two new families of massive spin-2 models. The approach used here may be useful to investigate dual (nonsymmetric) formulations of higher-spin particles. © 2013 American Physical Society.

Requirements and methodology for the massive implementation of small hydro power stations in Latin America

Spanish version available

A sucessão siliciclástica-carbonática neocarbonífera da bacia do Amazonas, regiões de Monte Alegre e Itaituba (PA)

Registros sedimentares do Neocarbonífero, particularmente do Moscoviano, na Bacia do Amazonas, Norte do Brasil, caracterizam a zona de contato entre as formações Monte Alegre (rochas siliciclásticas) e Itaituba (rochas carbonáticas). A análise faciológica da sucessão Moscoviana de até 40 m de espessura, exposta na região de Monte Alegre e Itaituba, Estado do Pará, permitiu identificar 5 associações de fácies (AF), que correspondem a depósitos estabelecidos no ambiente costeiro, representados por dunas/intedunas eólicas (AF1), lençóis de areia/wadi (AF2), laguna/washover (AF3), praia/planície de maré (AF4) e laguna/delta de maré (AF5). A associação de campo de dunas/interdunas (AF1) é constituída por arenitos finos a médios, bimodais com estratificação cruzada de médio porte, laminação cavalgante transladante subcrítica e arenitos com gradação inversa. Arenitos finos com acamamento maciço, marcas de raízes e, subordinadamente, verrugas de aderência (adhesion warts), ocorrem nos limites dos sets de estratificação cruzada e indicam, respectivamente, paleossolos e migração de grãos por ação eólica sobre interduna úmida. Depósitos de lençóis de areia/wadi (AF2) são compostos de arenitos finos a médios com estratificação plano-paralela e laminação cavalgante transladante subcrítica, relacionados a superfícies de deflação (lençóis de areia), enquanto arenitos finos a médios com estratificações cruzadas tangencial e recumbente, e acamamento convoluto, caracterizam rios efêmeros com alta energia. Pelitos laminados e arenitos finos com laminação cruzada cavalgante, contendo o icnofóssil Palaeophycus, representam sedimentação em ambiente de baixa energia e foram agrupados na associação de laguna/washover (AF3). Os depósitos de praia/planície de maré (AF4) consistem em arenitos finos a médios, com estratificação plano-paralela a cruzada de baixo ângulo, intercalados com lentes de dolomito fino maciço, localmente truncados por arenitos finos a médios. Estas fácies foram formadas pelo fluxo-refluxo em ambiente de praia, localmente retrabalhadas por pequenos canais, enquanto o carbonato é interpretado como precipitado em poças (ponds). Na AF4 encontram-se também pelitos laminados com gretas de contração, lâminas curvadas de argila e arenitos com estratificação cruzada tabular de pequeno a médio porte, contendo filmes de argila sobre foresets e superfícies de reativação, sugerindo a migração de sandwaves na intermaré. A associação de laguna/delta de maré (AF5) é constituída por calcários dolomitizados (mudstones, wackestones, packstones e grainstones) com poros do tipo vug e móldicos e bioclastos de braquiópodes, equinodermas, foraminíferos, ostracodes, briozoários, trilobitas, moluscos e coral isolado não fragmentado, além do ichnofóssil Thalassinoides. Conglomerados com seixos de calcário dolomitizado, arenitos finos com estratificação cruzada de baixo ângulo e superfícies de reativação, localmente sobrepostos por arenitos finos com estratificação cruzada sigmoidal e laminação cruzada cavalgante, foram interpretados como depósitos de tidal inlet e delta de maré. As associações de fácies/microfácies e os dados paleontológicos descritos neste trabalho corroboram a predominância de ambientes lagunares, em parte, conectados a um ambiente desértico costeiro para o intervalo de transição entre as formações Monte Alegre e Itaituba. A abundância de grãos arredondados de areia fina nas fácies carbonáticas corrobora influxo siliciclástico advindo do ambiente desértico adjacente ao ambiente costeiro. Condições mais quentes e tropicais para a sucessão estudada são também indicadas pela presença de carbonatos e argilominerais como illita e, principalmente, esmectita, bem como uma fauna diversificada. Os litotipos siliciclásticos e carbonáticos intercalados que caracterizam a fase final da deposição Monte Alegre e o início da sedimentação Itaituba, justificam sua representação em um mesmo sistema deposicional costeiro.

Scalar source in circular motion interacting with massive klein-gordon field in Minkowski spacetime

We analyze the scalar radiation emitted by a source in uniform circular motion in Minkowski spacetime interacting with a massive Klein-Gordon field. We assume the source rotating around a central object due to a Newtonian force. By considering the canonical quantization of this field, we use perturbation theory to compute the radiation emitted at the tree level. Regarding the initial state of the field as being the Minkowski vacuum, we compute the emission amplitude for the rotating source, assuming it as being minimally coupled to the massive Klein-Gordon field. We then compute the power emitted by the swirling source as a function of its angular velocity, as measured by asymptotic static observers.

Conductivity in the gravity dual to massive ABJM and the membrane paradigm

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Topologically massive Yang-Mills: A Hamilton-Jacobi constraint analysis

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)