Geometric formulation to analyze singular physical systems

This paper is based on the article: Barbero G, J.F., Díaz, B., Margalef-Bentabol, J. and Villaseñor, E. (2019). Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach. Classical and Quantum Gravity , 36, 205014In this talk, we show the role of symplectic geometric in the recent geometric formulation of the Dirac algorithm to analyze singular filed theories in the presence of boundaries. Also, we present some of the recent applications of this formalism.This project has received funding from Universidad Carlos III de Madrid and the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant Agreement No 801538

Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres

We study the effect of the second virial coefficient on the adiabatic lapse rate of a dry atmosphere. To this end, we compute the corresponding adiabatic curves, the internal energy, and the heat capacity, among other thermodynamic parameters. We apply these results to Earth, Mars, Venus, Titan, and the exoplanet G1 851d, considering three physically relevant virial coefficients in each case: the hard-sphere, van der Waals, and the square-well potential. These examples illustrate under which atmospheric conditions the effect of the second virial coefficient is relevant. Taking the latter into account yields corrections towards the experimental values of the lapse rates of Venus and Titan in some instances.Comment: 12 pages, 8 figures. Comments are welcom

Interacting color strings as the origin of the liquid behavior of the quark-gluon plasma

We study the radial distribution function of the color sources (strings) formed in hadronic collisions and the requirements to obtain a liquid. As a repulsive interaction is needed, we incorporate a concentric core in the strings as well as the probability that a string allows core-core overlaps. We find systems where the difference between the gas-liquid and confined-deconfined phase transition temperatures is small. This explains the experimentally observed liquid behavior of the quark-gluon plasma above the confineddeconfined transition temperature.J. E. R. acknowledges financial support from Consejo Nacional de Ciencia y Tecnología (postdoctoral fellowship Grant No. 289198). B. D. was partially supported by a DGAPA-UNAM postdoctoral fellowship and acknowledges support from the CONEX-Plus programme funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 programme under the Marie Sklodowska-Curie grant agreement No. 801538. C. P. has received financial support from Xunta de Galicia (Centro singular de investigación de Galicia), by European Union ERDF, and by the “María de Maeztu” Units of Excellence program MDM-2016-0692 and the Spanish Research State Agency. We thank Nestor Armesto and David Vergara for their valuable comments. J. E. R. acknowledges financial support from Consejo Nacional de Ciencia y Tecnología (postdoctoral fellowship Grant No. 289198). B. D. was partially supported by a DGAPA-UNAM postdoctoral fellowship and acknowledges support from the CONEX-Plus programme funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 programme under the Marie Sklodowska-Curie grant agreement No. 801538. C. P. has received financial support from Xunta de Galicia (Centro singular de investigación de Galicia), by European Union ERDF, and by the “María de Maeztu” Units of Excellence program MDM-2016-0692 and the Spanish Research State Agency. We thank Nestor Armesto and David Vergara for their valuable comments.Publicad

Adiabatic lapse rate of real gases

We derive a formula for the dry adiabatic lapse rate of atmospheres composed of real gases. We restrict our study to those described by a family of two-parameter cubic equations of state and the recent Guevara-Rodríguez noncubic equation. Since our formula depends on the adiabatic curves, we compute them all at once, considering molecules that can move, rotate, and vibrate, for any equation of state. To illustrate our results, we estimate the lapse rate of the troposphere of Titan, obtaining a better approximation to the observed data in some instances, when compared to the estimation provided by the virial expansion up to the third order.B.D. acknowledges support from the CONEX-Plus programme funded by the Universidad Carlos III de Madrid and the European Union's Horizon 2020 research and innovation program under Marie Sklodowska-Curie Grant No. 801538. J.E.R. acknowledges financial support from the Consejo de Ciencia y Tecnología del Estado de Puebla. This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación under Grant No. PID2020-116567GB-C22

Classical analogs of generalized purities, entropies, and logarithmic negativity

It has recently been proposed classical analogs of the purity, linear quantum entropy, and von Neumann entropy for classical integrable systems, when the corresponding quantum system is in a Gaussian state. We generalized these results by providing classical analogs of the generalized purities, Bastiaans-Tsallis entropies, R\'enyi entropies, and logarithmic negativity for classical integrable systems. These classical analogs are entirely characterized by the classical covariance matrix. We compute these classical analogs exactly in the cases of linearly coupled harmonic oscillators, a generalized harmonic oscillator chain, and a one-dimensional circular lattice of oscillators. In all of these systems, the classical analogs reproduce the results of their quantum counterparts whenever the system is in a Gaussian state. In this context, our results show that quantum information of Gaussian states can be reproduced by classical information.Comment: 17 pages. 9 figure

Edge observables of the Maxwell-Chern-Simons theory

We analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons theory defined on a manifold with boundary for two different sets of boundary equations derived from a variational principle. We pay special attention to the identification of the infinite chains of boundary constraints and their resolution. We identify edge observables and their algebra (which corresponds to the well-known $U(1)$ Kac-Moody algebra). Without performing any gauge fixing, and using the Hodge-Morrey theorem, we solve the Hamilton equations whenever possible. In order to give explicit solutions, we consider the particular case in which the fields are defined on a $2$-disk. Finally, we study the Fock quantization of the system and discuss the quantum edge observables and states.Comment: 23 page

Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action

We give a detailed account of the Hamiltonian Gotay-Nester-Hinds (GNH) analysis of the parametrized unimodular extension of the Holst action. The purpose of the paper is to derive, through the clear geometric picture furnished by the GNH method, a simple Hamiltonian formulation for this model and explain why it is difficult to arrive at it in other approaches. We will also show how to take advantage of the field equations to anticipate the simple form of the constraints that we find in the paper.This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación/FIS2017-84440-C2-2-P grant. Bogar Díaz was partially supported by a DGAPA-UNAM postdoctoral fellowship and acknowledges support from the CONEX-Plus program funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 program under the Marie Sklodowska-Curie grant agreement No. 801538. Juan Margalef-Bentabol is supported by the Eberly Research Funds of Penn State, by the NSFgrant PHY-1806356 and by the Urania Stott fund of Pittsburgh foundation UN2017-92945

Structure of the medium formed in heavy ion collisions

We investigate the structure of the medium formed in heavy ion collisions using three different models: the Color String Percolation Model (CSPM), the Core-Shell-Color String Percolation Model (CSCSPM), and the Color Glass Condensate (CGC) framework. We analyze the radial distribution function of the transverse representation of color flux tubes in each model to determine the medium's structure. Our results indicate that the CSPM behaves as an ideal gas, while the CSCSPM exhibits a structural phase transition from a gas-like to a liquid-like structure. Additionally, our analysis of the CGC framework suggests that it produces systems that behave like interacting gases for AuAu central collisions at RHIC energies and liquid-like structures for PbPb central collisions at LHC energies.Comment: 15 pages, 8 figure

Noether symmetries in the phase space

The constants of motion of a mechanical system with a finite number of degrees of freedom are related to the variational symmetries of a Lagrangian constructed from the Hamiltonian of the original system. The configuration space for this Lagrangian is the phase space of the original system. The symmetries considered in this manner include transformations of the time and may not be canonical in the standard sense.The authors acknowledge the support from CONACyT, SNI and VIEP-BUAP

Consideraciones de las empresas en Aguascalientes sobre los beneficios ambientales, económicos y sociales de la adopción de las auditorías ambientales

Se argumenta que cuando la empresa realiza acciones de responsabilidad social, cumple con las regulaciones o participa en actividades que beneficien a la sociedad, una evidencia de estas acciones la constituye su participación voluntaria en la auditoría ambiental. En este trabajo se analiza la apreciación de las empresas manufactureras en Aguascalientes con certificado ambiental sobre los beneficios ambientales, económicos y sociales de las auditorías ambientales, para la cual se encuestó a 8 empresas manufactureras que han aplicado la auditoría ambiental en sus negocios. Los hallazgos muestran que casi en su totalidad las compañías que realizaron la mencionada auditoria en 2013 perciben beneficios importantes como: control de las descargas de las aguas residuales; control y disminución de las emisiones totales descargadas a las atmosferas; mejora en la posición en el mercado; reducción significativa de los costos totales; mejora en la imagen pública y comercial; y un mejoramiento en la relación con la comunidadEje 1. Responsabilidad social y desarrollo sustentable. Su medición y alcance en la economía social y solidariaFacultad de Ciencias Económica