Perturbative Ward identities for Yang-Mills field theory stochastically quantized

%'e compute the divergent part of the three-point vertex function of the non-Abelian Yang-Mills gauge field theory within the stochastic quantization approach to the one-loop order. This calculation allows us to find four renormalization constants which, together with the four previously obtained, verify, to the calculated order, some Ward identities.

Improved and customized secondary optics for photo-voltaic concentrators

In this contribution the line flow method is applied to an optimized secondary optics in a photovoltaic concentration system where the primary optics is already defined and characterized. This method is a particular application of photic field theory. This method uses the parameterization of a given primary optics, including actual tolerances of the manufacturing process. The design of the secondary optics is constrained by the selection of primary optics and maximizes the concentration at a previously specified collection area. The geometry of the secondary element is calculated by using a virtual source, which sends light in a first concentration step. This allows us to calculate the line flow for this specific case. This concept allows designing more compact and efficient secondary optics of photovoltaic systems.

Reforma del estado como mecanismo de control en democracia delegativa: caso reforma judicial Ecuador 2007-2014

The object of this doctoral thesis is the analysis of the political and administrative purpose that is given to the reform process of a vital sector of State powers within the framework of delegate democracy, such as the administration of Justice. The object is also to analyze if State reform in a diminished or non-liberal surrounding increase or improve conditions of democracy in a given situation, based on the constitutional “what should be”, or if what occurs is a process of “seizure” of the functions of State, which becomes an institutional risk. Finally, we will examine the real and effective existence of a horizontal accountability process through the use of institutional resources, which would evidence the existence of an incomplete model of democracy. This analysis implies the relationship between two institutions within public administration: State Reform, as an act of change in State structure in order to improve qualitatively the outcomes and outputs of public policies, and in sum, to make the system work better. This, as it will be examined later, is the case of Latin America as a response of the State to three processes in crisis: fiscal, as in government intervention or in the form of bureaucratic administration. In that scheme of things, this thesis examines the present state of the art in public administration science of this process to prove that in delegate democracy, this type of instruments disregard the constitutive elements of democracy and serve, especially in critical areas of the administration, allowing for Power to dismiss Law. This research seeks to contribute towards an area seldom analyzed regarding public administration doctrine under the light of the theory of law, which is the connection between previous conditions or principal inputs of an execution process of a democracy and, on the other hand, regarding the effects of introducing a reform within models of a changing democracy and new concepts of the rule of law. While reviewing writings regarding State reform, it is clear that no approximations have been previously made in reference to prior conditions of the political system in order to begin operating a reform which respects fundamental rights as an object of this procedure. Furthermore, no analysis has been found regarding structural change of strategic areas in State services as to the effect caused on democratic exercise and the outcome in an open society...

Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions

We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of models can be fermionized with the help of the algebraic properties of the su(1|1) permutation operator and take advantage of this fact to analyze their quantum criticality when a chemical potential term is present in the Hamiltonian. We first study the low-energy excitations and the low-temperature behavior of the free energy, which coincides with that of a (1+1)-dimensional conformal field theory (CFT) with central charge c=1 when the chemical potential lies in the critical interval (0,E(π)), E(p) being the dispersion relation. We also analyze the von Neumann and Rényi ground state entanglement entropies, showing that they exhibit the logarithmic scaling with the size of the block of spins characteristic of a one-boson (1+1)-dimensional CFT. Our results thus show that the models under study are quantum critical when the chemical potential belongs to the critical interval, with central charge c=1. From the analysis of the fermion density at zero temperature, we also conclude that there is a quantum phase transition at both ends of the critical interval. This is further confirmed by the behavior of the fermion density at finite temperature, which is studied analytically (at low temperature), as well as numerically for the su(1|1) elliptic chain.