The hadronic vacuum polarization contribution to aμa_{\mu} from full lattice QCD

We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $a_{\mu}^{\mathrm{HVP,LO}}$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $a_{\mu}$ and the Standard Model of 3$\sigma$.Comment: 14 pages, 10 figures. Discussion of method extended with additional tests and figures added. Typographical errors correcte

Analytic mappings between noncommutative pencil balls

In this paper, we analyze problems involving matrix variables for which we use a noncommutative algebra setting. To be more specific, we use a class of functions (called NC analytic functions) defined by power series in noncommuting variables and evaluate these functions on sets of matrices of all dimensions; we call such situations dimension-free. In an earlier paper we characterized NC analytic maps that send dimension-free matrix balls to dimension-free matrix balls and carry the boundary to the boundary; such maps we call "NC ball maps". In this paper we turn to a more general dimension-free ball B_L, called a "pencil ball", associated with a homogeneous linear pencil L(x):= A_1 x_1 + ... + A_m x_m, where A_j are complex matrices. For an m-tuple X of square matrices of the same size, define L(X):=\sum A_j \otimes X_j and let B_L denote the set of all such tuples X satisfying ||L(X)||<1. We study the generalization of NC ball maps to these pencil balls B_L, and call them "pencil ball maps". We show that every B_L has a minimal dimensional (in a certain sense) defining pencil L'. Up to normalization, a pencil ball map is the direct sum of L' with an NC analytic map of the pencil ball into the ball. That is, pencil ball maps are simple, in contrast to the classical result of D'Angelo on such analytic maps in C^m. To prove our main theorem, this paper uses the results of our previous paper mentioned above plus entirely different techniques, namely, those of completely contractive maps.Comment: 30 pages, final version. To appear in the Journal of Mathematical Analysis and Application

Caracterização e avaliação de acessos de coqueiro-anão.

O presente trabalho teve como objetivo caracterizar e avaliar acessos de coqueiro-anão, validando os descritores mínimos da lista proposta pela UPOV e identificar cultivares exemplo. O trabalho foi realizado no Campo Experimental de Itaporanga d’Ajuda, no Banco de Germoplasma de Coco, avaliando os acessos anão-verde-do-Brasil-de-Jiqui (AVeBrJ), anão-vermelho-de-Gramame (AVG) e anão-amarelo-de-Gramame (AAG) por meio de descritores morfológicos e agronômicos. Os acessos foram implantados em 2003, no delineamento experimental em blocos casualizados, com cinco repetições, com parcela composta por 16 plantas, no espaçamento de 7,5 x 7,5 x7,5 m. Os acessos foram avaliados utilizando a lista descritiva proposta pela UPOV, em comparação com a lista do (IPGRI, 1995) utilizando os seguintes descritores: altura do estipe (AE), circunferência do estipe a 20cm (CE20), comprimento da folha (CPE), largura da folha (LPE), espessura do pecíolo (EPE), comprimento da ráquis (CF) e número total de folíolos (NFOL). Foi possível avaliar, de forma preliminar, os descritores propostos. Observou-se valores diferenciais entre os acessos mas, ainda não é possível estabelecer diferenciação e identificação de cultivares exemplos apenas com base nos descritores relatados

Analytical solution of a generalized Penna model

In 1995 T.J.Penna introduced a simple model of biological aging. A modified Penna model has been demonstrated to exhibit behaviour of real-life systems including catastrophic senescence in salmon and a mortality plateau at advanced ages. We present a general steady-state, analytic solution to the Penna model, able to deal with arbitrary birth and survivability functions. This solution is employed to solve standard variant Penna models studied by simulation. Different Verhulst factors regulating both the birth rate and external death rate are considered.Comment: 6 figure

Magnetic Instabilities and Phase Diagram of the Double-Exchange Model in Infinite Dimensions

Dynamical mean-field theory is used to study the magnetic instabilities and phase diagram of the double-exchange (DE) model with Hund's coupling J_H >0 in infinite dimensions. In addition to ferromagnetic (FM) and antiferromagnetic (AF) phases, the DE model supports a broad class of short-range ordered (SRO) states with extensive entropy and short-range magnetic order. For any site on the Bethe lattice, the correlation parameter q of a SRO state is given by the average q=, where theta_i is the angle between any spin and its neighbors. Unlike the FM (q=0) and AF (q=1) transitions, the transition temperature of a SRO state (T_{SRO}) with 0<q<1 cannot be obtained from the magnetic susceptibility. But a solution of the coupled Green's functions in the weak-coupling limit indicates that a SRO state always has a higher transition temperature than the AF for all fillings p<1 and even than the FM for 0.26\le p \le 0.39. For 0.39<p<0.73, where both the FM and AF phases are unstable for small J_H, a SRO phase has a non-zero T_{SRO} except close to p=0.5. As J_H increases, T_{SRO} eventually vanishes and the FM dominates. For small J_H, the T=0 phase diagram is greatly simplified by the presence of the SRO phase. A SRO phase is found to have lower energy than either the FM or AF phases for 0.26\le p0 but appears for J_H\neq 0. For p near 1, PS occurs between an AF with p=1 and either a SRO or a FM phase. The stability of a SRO state at T=0 can be understood by examining the interacting DOS,which is gapped for any nonzero J_H in an AF but only when J_H exceeds a critical value in a SRO state.Comment: 38 pages, 11 figures, submitted to New Journal of Physic

Produção de alface (Lactuca sativa L.) fertirigada com solução contendo sólidos marinhos.

O presente trabalho teve por objetivo avaliar o efeito da utilização de soluções contendo sólidos marinhos (SM) sobre a produção de alface. Para isso, instalou-se uma estrutura de horta vertical confeccionada com caules de bambu em casa de vegetação, na qual se cultivou a alface cv. Baba de verão. Os tratamentos foram constituídos da aplicação de uma lâmina d´água de 2,85 ml dia-1 contendo soluções nutritivas nas concentrações de zero (testemunha), 0,0421, 0,1263, 0,2947 g L-1 de SM e tratamento adicional de 0,0421 g L-1 SM + 0,5% de urina de vaca. Aos 45 DAT foram determinados: o número de folhas, massa fresca da parte área, circunferência e altura do caule. A aplicação de soluções de SM promoveu redução do número de folhas e não afetou a circunferência da planta; as plantas submetidas à fertirigação com a solução SM mais concentrada apresentaram menor altura de caule e peso fresco