A New Action Principle for Witten's Topological Field Theory

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of transformations, under which the effective action is invariant, close off-shell in distintion with what occurs in the one proposed by Labastida and Pernici. Our approach provides the geometrical principle for the quantum theory. We also compare our results with an alternative formulation presented by Baulieu and Singer.Comment: 8 pages, SB/F-94-22

BRST QUANTIZATION OF NON-ABELIAN BF TOPOLOGICAL THEORIES

The off-shell nilpotent BRST charge and the BRST invariant effective action for non-abelian BF topological theories over D-dimensional manifolds are explicitly constructed. These theories have the feature of being reducible with exactly D-3 stages of reducibility. The adequate extended phase space including the different levels of ghosts for ghosts is explicitly obtained. Using the structure of the resulting BRST charge we show that for topological BF theories the semi-classical approximation completely describes the quantum theory. The independence of the partition function on the metric also follows from our explicit construction in a straightforward way.Comment: 13 pages, amste

Non Abelian TQFT and scattering of self dual field configuration

A non-abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surfaces, arising from the reduction of 4-dim self-dual Yang-Mills fields, is introduced. It is shown that the phase space of the theory can be exactly quantized in terms of the space of holomorphic structures over stable vector bundles of degree zero over Riemann surfaces. The Dirac monopoles are particular static solutions of the field equations. Its relation to topological gravity is discussed.Comment: 13 pages, Late

On Auxiliary Fields in BF Theories

We discuss the structure of auxiliary fields for non-Abelian BF theories in arbitrary dimensions. By modifying the classical BRST operator, we build the on-shell invariant complete quantum action. Therefore, we introduce the auxiliary fields which close the BRST algebra and lead to the invariant extension of the classical action.Comment: 7 pages, minor changes, typos in equations corrected and acknowledgements adde

Modeling of Energy Distributions in Pseudo-Rest Frame Analyses of Two-Body Decays with Missing Particles

In this study, we introduce a parametric function designed to describe the energy distribution of the observed particle within the framework of two-body decays involving one undetected particle, analyzed using the pseudo-rest frame approximation. While we illustrate its effectiveness through the specific case study of the Lepton Flavor Violating decay $\tau \rightarrow l+\alpha$, this parametric function is broadly applicable to a wide range of pseudo-rest frame method-related searches involving undetected particles. Remarkably, it requires only a single simulation to account for the smearing effects resulting from the pseudo-rest frame approximation. The uniqueness of this function lies in its dependency on the mass of the undetected particle, enabling continuous exploration of the mass parameter space. We validate the performance of our parametric function using simulated datasets and find that it exhibits comparable performance to traditional simulation-based methods. Notably, our approach offers the distinct advantage of accommodating any mass value for the undetected particle without the need for multiple simulations.Comment: 5 pages, 7 figure

Paradigmas estructural y transformacional

El propósito de esta ponencia es indicar los fundamentos teóricos de los dos paradigmas que actualmente aparecen como centrales en los estudios lingüísticos: el Estructuralismo y el Transformacionalismo. Se parte de la problemática que plantea cada uno de ellos; el marco de referencia tanto filosófico como psicológico; las limitaciones del modelo estructural y las nuevas perspectivas de la teoría transformacional. Es indiscutible el avance del paradigma transformacional, puesto que da a la teoría generativa-transformacional el poder de explicar esa facultad extraordinaria de lenguaje que posee todo ser humano normal. El modelo estructuralista solamente pretende expresar el cómo, proporcionando un método y una técnica de investigación basados en la observación directa de los hechos

Non Abelian BF theories with sources and 2-D gravity

We study the interaction of non-Abelian topological $BF$ theories defined on two dimensional manifolds with point sources carrying non-Abelian charges. We identify the most general solution for the field equations on simply and multiply connected two-manifolds. Taking the particular choice of the so-called extended Poincar\'e group as the gauge group we discuss how recent discussions of two dimensional gravity models do fit in this formalism.Comment: 20 pages, Latex, To appear in Phys Rev D5

Correction: The epidemiology of Mayaro virus in the Americas: A systematic review and key parameter estimates for outbreak modelling.

[This corrects the article DOI: 10.1371/journal.pntd.0009418.]