Relating a gluon mass scale to an infrared fixed point in pure gauge QCD

The condition for the global minimum of the vacuum energy for a non-Abelian gauge theory with a dynamically generated gauge boson mass scale which implies the existence of a nontrivial IR fixed point of the theory was shown. Thus, this vacuum energy depends on the dynamical masses through the nonperturbative propagators of the theory. The results show that the freezing of the QCD coupling constant observed in the calculations can be a natural consequence of the onset of a gluon mass scale, giving strong support to their claim.

The temperature dependence of the QCD running coupling

We study the running of the QCD coupling with the momentum squared (Q 2) and the temperature scales in the high temperature limit (T > Tc), using a mass dependent renormalization scheme to build the Renormalization Group Equations. The approach used guaranty gauge invariance, through the use of the Hard Thermal Loop approximation, and independence of the vertex chosen to renormalize the coupling. In general, the dependence of the coupling with the temperature is not logarithmical, although in the region Q2 ∼ T2 the logarithm approximation is reasonable. Finally, as known from Debye screening, color charge is screened in the coupling. The number of flavors, however, is anti-screened.

Gluon mass generation in the PT-BFM scheme

In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions, associated with the generation of an effective gluon mass. Exploiting the known all-order correspondence between the pinch technique and the background field method, we demonstrate that, contrary to the standard formulation, the non-perturbative gluon self-energy is transverse order-by-order in the dressed loop expansion, and separately for gluonic and ghost contributions. We next present a comprehensive review of several subtle issues relevant to the search of infrared finite solutions, paying particular attention to the role of the seagull graph in enforcing transversality, the necessity of introducing massless poles in the three-gluon vertex, and the incorporation of the correct renormalization group properties. In addition, we present a method for regulating the seagull-type contributions based on dimensional regularization; its applicability depends crucially on the asymptotic behavior of the solutions in the deep ultraviolet, and in particular on the anomalous dimension of the dynamically generated gluon mass. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles belonging to different Lorentz structures. The resulting integral equation is then solved numerically, the infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is determined. Various open questions and possible connections with different approaches in the literature are discussed. © SISSA 2006.

Analyzing dynamical gluon mass generation

We study the necessary conditions for obtaining infrared finite solutions from the Schwinger-Dyson equation governing the dynamics of the gluon propagator. The equation in question is set up in the Feynman gauge of the background field method, thus capturing a number of desirable features. Most notably, and in contradistinction to the standard formulation, the gluon self-energy is transverse order-by-order in the dressed loop expansion, and separately for gluonic and ghost contributions. Various subtle field-theoretic issues, such as renormalization group invariance and regularization of quadratic divergences, are briefly addressed. The infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is presented.

Accuracy of impression techniques for implants. Part 1 - Influence of transfer copings surface abrasion

Purpose: This study evaluated the influence of surface abrasion of transfer copings to obtain a precise master cast for a partially edentulous restoration with different inclinations. Materials and Methods: Replicas (N = 30) of a metal matrix (control group) containing two implants at 90° and 65° in relation to the benchtop were obtained using a polyether impression material and three impression techniques: square impression copings splint with dental floss and autopolymerizing acrylic resin (TRS), square impression copings abraded with aluminum oxide (TA), and square impression copings abraded with aluminum oxide and adhesive-coated (TAA). The replicas obtained in type V stone were digitalized, and the images were exported to AutoCAD software to perform the readings of possible degree alterations in implant inclinations. The results were submitted to analysis of variance (ANOVA) and Tukey test (α < 0.05). Results: Comparing the techniques with regard to the 90° implant inclination, no statistical difference was observed between the three techniques and the control group. Analyzing the three techniques with regard to the 65° implant inclination, no significant difference was seen between technique TA and the control group. Conclusions: Technique TA presented more accurate master casts than TRS and TAA techniques. The angulated implant (65°) tended to generate more imprecise master casts than implants perpendicular to the surface. © 2008 by The American College of Prosthodontists.

Thermoelectric effects in quantum dots

We report a numerical renormalization-group study of the thermoelectric effect in the single-electron transistor (SET) and side-coupled geometries. As expected, the computed thermal conductance and thermopower curves show signatures of the Kondo effect and of Fano interference. The thermopower curves are also affected by particle-hole asymmetry. © 2009 Elsevier B.V. All rights reserved.

Evaluation of a two-step pouring technique for implant-supported prostheses impression

The aim of this study was to evaluate the efficacy of a pouring technique for implant-supported prostheses impressions. A metallic matrix (control group) with two implants positioned at 90 and 65 degrees was fabricated. The matrix was submitted to the direct transfer impression technique. In group CP (conventional pouring - n = 10), casts were obtained by the conventional pouring technique. In group EP (experimental pouring - n = 10), the analogs were embraced with latex tubes before the first pouring and then submitted to a second pouring. Vertical misfit and implants/analogs inclinations were evaluated. Data were analyzed by analysis of variance and Tukey's test (p < .05). Results demonstrated significant difference (p < .05) between control and experimental groups for misfit measurement in perpendicular implant/analog and between control group and group EP in leaning implant/analog. Considering inclination, there were significant differences (p < .05) between control and experimental groups for leaning analogs. Independently of the pouring technique, perpendicular implants produced more accurate casts.

Universal conductance for the Anderson model

We discuss the thermal dependence of the zero-bias electrical conductance for a quantum dot embedded in a quantum wire, or side-coupled to it. In the Kondo regime, the temperature-dependent conductances map linearly onto the conductance for the symmetric Anderson Hamiltonian. The mapping fits accurately numerical renormalization-group results for the conductance in each geometry. In the side-coupled geometry, the conductance is markedly affected by a gate potential applied to the wire; in the embedded geometry, it is not. © 2010 IOP Publishing Ltd.

Influência das técnicas de cimentação, fundição em monobloco e brasagem na adaptação de componentes protéticos de próteses sobre implantes fundidos em Cr-Co

O presente estudo avaliou a adaptação da interface implante/componente protético, utilizando pilares Micro-Units com seus respectivos copings acrílicos (Conexão Sistemas de Prótese – São Paulo – SP – Brasil) e UCLAs (Conexão Sistemas de Prótese – São Paulo – SP – Brasil), por meio de três diferentes técnicas: cimentação (grupo 1), fundição em monobloco (grupo 2) e fundição e brasagem (grupo 3). Foram confeccionados 20 corpos - de- prova, cada corpo apresentava 3 componentes protéticos e duas barras que os unia. Foram utilizados 30 componentes protéticos Micro-Units, 30 copings acrílicos dos Micro-Units (Conexão Sistemas de Prótese – São Paulo – SP – Brasil) e 30 UCLAs (Conexão Sistemas de Prótese – São Paulo – SP – Brasil). Também foram usadas 40 barras cilíndricas de 2mm de diâmetro, obtidas a partir de uma matriz. Cada grupo tinha 10 corpos-de-prova. Os corpos-deprova foram divididos inicialmente em dois grupos. No grupo 1 foram utilizados componentes protéticos Micro-Units e seus respectivos copings acrílicos, os quais foram fundidos em Cr-Co, parafusados e cimentados sobre os Micro-Units. No grupo 2 os componentes protéticos calcináveis (UCLA), foram fundidos em monobloco utilizando-se Cr-Co. Posteriormente foi realizada a separação das peças em monobloco do grupo 2, o qual passou a ser chamado de grupo 3, sendo então submetido à brasagem. Todos os grupos foram mensurados em um estereomicroscópio (SZX12, Olympus, Japan) com aumento de 60X em relação à adaptação, antes e após os procedimentos para a obtenção das estruturas, através de cada técnica. Os resultados mostraram que o grupo 1 apresentou uma adaptação estatisticamente superior, inicial (0,000μm) e final (3,588μm), em relação aos grupos 2 (9,252μm e 325,259μm) e 3 (0,874μm e 121,592μm). O grupo 3 apresentou uma melhora significativa em relação ao grupo 2. A técnica com melhor adaptação foi a cimentação.

As funções do grupo de renormalização no modelo com auto-interação quártica fermiônica

Modelos com interações quárticas fermiônicas tem sido estudadas para clarificar aspectos conceituais e possíveis aplicações em teoria quântica de campos. Neste trabalho apresentamos a estrutura do grupo de renormalização no modelo de Nambu-Jona-Lasinio até a ordem de 1-loop. O modelo é não renormalizável perturbativamente, no sentido usual de contagem de potência, mas é tratado como uma teoria efetiva, válida numa escala de energia onde p << ^, sendo p o momento externo do loop e ^ um parâmetro de escala de massa que caracteriza o acoplamento do vértice não renormalizável. Esclarecemos a estrutura tensorial dos vértices de interação e calculamos as funções do grupo de renormalização. A análise dos pontos fixos da teoria também é apresentada e discutida usando o formalismo de redução das constantes de acoplamento proposto por Zimmermann. Encontramos a baixas eneergias a origem como ponto fixo infravermelho estável e um ponto fixo não trivial ultravioleta estável, indicando a consistência perturbativa se o momento é pequeno.

Técnica do Grupo de Renormalização Numérico (GRN) aplicada em quantum dots

Pós-graduação em Física - IGCE

Reply to 'Lifshitz-point critical behaviour to O(εL 2)'

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

A Monte Carlo study of the anisotropic N=3 Ashkin-Teller model

The phase diagram of an asymmetric N = 3 Ashkin-Teller model is obtained by a numerical analysis which combines Monte Carlo renormalization group and reweighting techniques. Present results reveal several differences with those obtained by mean-field calculations and a Hamiltonian approach. In particular, we found Ising critical exponents along a line where Goldschmidt has located the Kosterlitz-Thouless multicritical point. On the other hand, we did find nonuniversal exponents along another transition line. Symmetry breaking in this case is very similar to the N = 2 case, since the symmetries associated to only two of the Ising variables are broken. However, for large values of the coupling constant ratio XW = W/K, when the only broken symmetry is of a hidden variable, we detected first-order phase transitions giving evidence supporting the existence of a multicritical point, as suggested by Goldschmidt, but in a different region of the phase diagram. © 2002 Elsevier Science B.V. All rights reserved.

Nuclear magnetic relaxation for the spin-degenerate Anderson model

A renormalization-group calculation of the temperature-dependent nuclear spin relaxation rate for a magnetic impurity in a metallic host is reported. The calculation follows a simplified procedure, which produces accurate rates in the low-temperature Fermi-liquid regime, although yielding only qualitatively reliable results at higher temperatures. In all cases considered, as the temperature T diminishes, the rates peak before decaying linearly to zero in the Fermi-liquid range. For T → 0, the results agree very well with Shiba's expression relating the low-temperature coefficient of the relaxation rate to the squared zero-temperature susceptibility. In the Kondo limit, the enhanced susceptibility associated with the Kondo resonance produces a very sharp peak in the relaxation rate near the Kondo temperature. © 1991.

Short distance QCD contribution to the electroweak mass difference of pions

It is known that the short distance QCD contribution to the mass difference of pions is quadratic on the quark masses, and irrelevant with respect to the long distance part. It is also considered in the literature that its calculation contains infinities, which should be absorbed by the quark mass renormalization. Following a prescription by Craigie, Narison, and Riazuddin of a renormalization-group-improved perturbation theory to deal with the electromagnetic mass shift problem in QCD, we show that the short distance QCD contribution to the electroweak pion mass difference (with mu=md≠0) is finite and, of course, its value is negligible compared to other contributions.