The thermal instanton determinant in compact form

The thermal instanton determinant for the gauge group $SU(2)$ can be reduced to a form involving two simple functions. Various boundary conditions can easily incorporated. Only a two dimensional integral has to be done numerically. As an example we compute the contribution to the free energy of $\mathcal{N}=1$ theory.Comment: 26 pages, 2 figures. This version contains a number of cosmetic improvements of the version appearing in PR

Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics

We present a detailed study of a filtering method based upon Dirac quasi-zero-modes in the adjoint representation. The procedure induces no distortions on configurations which are solutions of the euclidean classical equations of motion. On the other hand, it is very effective in reducing the short-wavelength stochastic noise present in Monte Carlo generated configurations. After testing the performance of the method in various situations, we apply it successfully to study the effect of Monte Carlo dynamics on topological structures like instantons.Comment: 39 pages, 15 figure

Finite-volume corrections to the leading-order hadronic contribution to gμ−2g_\mu-2

We present preliminary results of a 2+1-flavor study of finite-volume effects in the lattice QCD computation of the leading-order hadronic contribution to the muon anomalous magnetic moment. We also present methods for obtaining directly the invariant hadronic polarization function, $\Pi(Q^2)$, and the Adler function at all discrete lattice values of $Q^2$, including $Q^2=0$. Results are obtained with HEX-smeared clover fermions.Comment: 7 pages, 2 figures, Contribution to the Proceedings of the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, US

Flexión activa en forjados construidos con contrachapado curvado en el plano

Active bending structures incorporate curved beams or shells that are elastically bent from originally straight or flat elements. When both curved and straight elements are coupled, systems stiffness can be enhanced for certain load cases. In this paper, the effects of active bending in twelve floor structure proposals constructed from curved and straight plywood elements is discussed. These solutions are numerically analysed and compared with the reference solution of straight and parallel joists in a Bic-λ diagram, the instrument devised by Frei Otto to compare the material consumption of different structural systems. Simultaneously to the analytical study, three-point bending tests of two full-scale prototypes are carried out. Based on tests findings, a new case of joist with more elements is introduced, which will eventually be the most efficient.Las estructuras con flexión activa incorporan vigas o superficies curvas que obtienen esa geometría mediante deformación elástica de elementos originalmente rectos o planos. Cuando se emparejan elementos curvos y rectos se pueden conseguir sistemas con una rigidez mayor que si trabajan independientemente. En este trabajo se estudian los efectos de la flexión activa en doce propuestas de forjado con viguetas construidas a partir de elementos curvos y rectos de contrachapado de lauan. Estas soluciones se analizan informáticamente y se comparan con la solución de referencia de viguetas rectas y paralelas en un diagrama Bic-λ, el instrumento ideado por Frei Otto para comparar el consumo material de distintos sistemas estructurales. Simultáneamente al estudio analítico se realizan ensayos a flexión de tres puntos de dos prototipos a escala real. Las conclusiones derivadas de los ensayos servirán para introducir un nuevo caso de vigueta con más elementos que acabará siendo el más eficiente