Gauge invariant investigation of the nature of Confinement

We observe a strong correlation between the decrease in the number of action density peaks in SU(2) Yang-Mills configurations with cooling and that of the string tension. The nature and distribution of these peaks is investigated. The relationship with monopole currents after the abelian projection is also considered.Comment: uuencoded and Z-compressed file of the Postcript version of our contribution to LATTICE 95. 4 pages of text and 4 figure

Gauge invariant structures and Confinement

By looking at cooled configurations on the lattice, we study the presence of peaks in the action density, or its electric and magnetic components, in the SU(2) gauge vacuum. The peaks are seen to be of instanton-like nature and their number variation takes care of the drop in the string tension observed when cooling. Possible explanations of this finding are analysed.Comment: uuencoded and compressed file of the Postcript file newpaper.ps, fig1.ps,fig2.eps,fig3.ps and fig4.ps. 13 pages of text and 4 figures Style modifications and misprints correcte

Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models

We compute the perturbative expression of Wilson loops up to order $g^4$ for SU($N$) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux $k$. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large $N$ as a function of flux $k$. The contribution of fermion fields in the adjoint representation is also analyzed.Comment: pdflatex 57 pages, 9 figures, 4 appendice

Editor de texto para el interfaz gráfico de AskoziaPBX

Since in the 80's as the technologic boom took place, its advances have been applied in many fields, including communications. More specifically, the telephone network, typically analog, has migrated in recent years to digital. In this context, it is noted that communication needs have changed. Until a few years ago the vast majority of traffic was voice traffic. However, today that percentage is minimal and there is a growing demand of data traffic thanks to the great evolution of the Internet. Here data becomes a priority, as well as its technology, its protocols, and people start thinking about how to manage traffic and merge both in one. From this comes the idea of transmitting voice over Internet Protocol (VoIP). At the end of the 90's technology had advanced enough to create solutions that enabled a computer to work as a telephone exchange (PBX) and a few years later extensive services to VoIP users began to be offered. Therefore, we try to ease its use by creating user-friendly graphical interfaces, which do not require extensive knowledge in how to configure telephony systems. Askozia PBX is a project that aims to bring VoIP technology to businesses and average users. And this is where my project fits in. Within this GUI, there will be the possibility to display the system configuration file and make changes that are desired. In other words, the project is based on the development and integration of an embedded editor in the graphical user interface for managing a PBX, that aims to make live changes in settings possible. I will explain in detail the process of integration and reduction of code required to turn my project into a package available for Askozia. __________________________________________________________________________________________________________Desde que en en los 80 tuviera lugar el boom tecnológico, sus avances han sido aplicados en muchos campos, incluidos las comunicaciones. Mas específicamente, la red de telefonía, que hasta hace poco era analógica, ha evolucionado recientemente a digital. De este contexto se desprende que las necesidades comunicativas han cambiado. Hasta hace unos años, la mayoría del tráfico era tráfico de voz; sin embargo hoy dicho porcentaje es mínimo, habiendo una creciente demanda de tráfico de datos, gracias a la gran evolución de Internet. Aquí los datos se convierten en una prioridad, así como su tecnología y sus protocolos. Por esto se empezó a pensar como tratar ambos tráficos y unirlos en uno solo. De aquí viene la idea de trasmitir voz sobre tecnología IP. (VoIP) A finales de los 90 la tecnología había avanzado lo suficiente como para crear soluciones que permitieran a un ordenador comportarse como una centralita telefónica (PBX), y pocos años después, empezaron a ser ofrecidos servicios extensivos a los usuarios de VoIP. Por lo tanto, intentamos facilitar el uso de dichas PBX virtuales, creando interfaces gráficas amigables, que no requieran un gran conocimiento sobre como configurar un sistema telefónico. AskoziaPBX es un proyecto cuyos objetivos son acercar la tecnología VoIP a usuarios medios. Aquí es donde mi proyecto encaja. Con este interfaz gráfico, se dará a posibilidad de mostrar el archivo de configuración del sistema, y poder llevar a cabo los cambios deseados. En otras palabras, el proyecto esta basado en el desarrollo e integración de un editor empotrado en el interfaz gráfico, para gestionar la configuración de la PBX, de forma que se puedan realizar cambios de forma dinámica. Se explicará en detalle el proceso de integración y reducción del código requerido para convertir mi proyecto en un paquete válido para AskoziaPBX.Ingeniería Técnica en Telemátic

Do classical configurations produce Confinement?

We show that certain classical SU(2) pure gauge configurations give rise to a non-zero string tension. We then investigate cooled configurations generated by Monte Carlo simulations on the lattice and find similar properties. We infer evidence in favour of a classical model of Confinement.Comment: Uuencoded, Z-compressed and tarred file of the TeX file submit.tex and PostScript files Stnt.eps and Stst.eps. 11 pages of text and two figure

Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction

In this work we consider the $SU(N)$ gauge theory with two Dirac fermions in the adjoint representation, in the limit of large $N$. In this limit the infinite-volume physics of this model can be studied by means of the corresponding twisted reduced model defined on a single site lattice. Making use of this strategy we study the reduced model for various values of $N$ up to 289. By analyzing the eigenvalue distribution of the adjoint Dirac operator we test the conformality of the theory and extract the corresponding mass anomalous dimension.Comment: 17 pages, 11 figures. Version to appear in JHEP - corrected typos and reference

The SU(∞)SU(\infty) twisted gradient flow running coupling

We measure the running of the $SU(\infty)$ 't Hooft coupling by performing a step scaling analysis of the Twisted Eguchi-Kawai (TEK) model, the SU($N$) gauge theory on a single site lattice with twisted boundary conditions. The computation relies on the conjecture that finite volume effects for SU(N) gauge theories defined on a 4-dimensional twisted torus are controlled by an effective size parameter $\tilde l = l \sqrt{N}$, with $l$ the torus period. We set the scale for the running coupling in terms of $\tilde l$ and use the gradient flow to define a renormalized 't Hooft coupling $\lambda(\tilde l)$. In the TEK model, this idea allows the determination of the running of the coupling through a step scaling procedure that uses the rank of the group as a size parameter. The continuum renormalized coupling constant is extracted in the zero lattice spacing limit, which in the TEK model corresponds to the large $N$ limit taken at fixed value of $\lambda(\tilde l)$. The coupling constant is thus expected to coincide with that of the ordinary pure gauge theory at $N =\infty$. The idea is shown to work and permits us to follow the evolution of the coupling over a wide range of scales. At weak coupling we find a remarkable agreement with the perturbative two-loop formula for the running coupling.Comment: 22 pages, 7 figure