Dynamical gauge fields and anomalous transport at strong coupling

Anomalous transport coefficients are known to be universal in the absence of dynamical gauge fields. We calculate the corrections to these universal values due to dynamical gluon fields at strong coupling, at finite temperature and finite density, using the holographic duality. We show that the consistent chiral magnetic and chiral vortical currents receive no corrections, while we derive a semi-analytic formula for the chiral separation conductivity. We determine these corrections in the large color, large flavor limit, in terms of a series expansion in the anomalous dimension $\Delta$ of the axial current in terms of physical parameters $\Delta$, temperature, electric and chiral chemical potentials and the flavor to color ratio $\frac{N_f}{N_c}$. Our results are applicable to a generic class of chiral gauge theories that allow for a holographic description in the gravity approximation. We also determine the dynamical gluon corrections to the chiral vortical separation current in a particular example in the absence of external axial fields.Comment: 28 pages + appendices, 3 figure

Índice de progreso social de la provincia de Palpa

Contar con un sistema de medición que permita conocer si las políticas públicas son eficientes basadas en el impacto de las personas, trasciende a los resultados económicos. La importancia de medir los resultados concretos en la población permite conocer la capacidad de satisfacción de las necesidades básicas humanas, los elementos fundamentales con los que cuentan para mantener y mejorar la calidad de vida, y si cuentan con las condiciones para alcanzar su pleno potencial. El Social Progress Imperative (SPI) presentó el Índice de Progreso Social como una herramienta que permite medir el nivel de la calidad de vida con información de las nuevas necesidades, demandas y problemáticas. La publicación del IPS Mundial 2019, ubica al Perú en la posición 57 de 149 países con 73.31 puntos. La presente investigación pretende conocer el nivel de progreso social a nivel distrital basado en el bienestar, por lo que el objetivo es calcular el Índice Progreso Social de la provincia de Palpa de la región Ica. Para ello, se consideraron los cinco distritos: Santa Cruz, Llipata, Río Grande, Palpa, y Tibillo; en muestra total de 352 hogares, agrupados en dos zonas. La metodología aplicada permitió determinar 44 indicadores finales que componen los 12 componentes en las tres dimensiones. Los resultados ubican a la provincia de Palpa con 59.07 en el nivel medio bajo; la dimensión Necesidades básicas humanas con 66.69 puntos, Fundamentos de Bienestar con 59.21 puntos y Oportunidades con 45.89 puntos. La zona I alcanzó la mayor posición con 57.96 siendo la ciudad de la provincia y la zona urbana de la provincia mientras que la zona II netamente rural registró el menor puntaje 56.48 puntos, en los que resaltan las desventajas en el acceso a información y telecomunicaciones, acceso a la educación superior, y derechos personales. Esta primera medición en la provincia de Palpa permite ser una herramienta para orientar la inversión social e identificar las necesidades que deben ser atendidas.Having a measurement system that permits us to know if public policies are efficient based on the impact of people transcends economic results. The importance of measuring concrete results in the population allows us to identify the capacity to satisfy basic human needs, the fundamental elements that they have to maintain and improve the quality of life, and if they have the conditions to reach their full potential. The Social Progress Imperative (SPI) presented the Social Progress Index as a tool that allows us to measure the level of quality of life with information on new needs, demands and problems. The SPI Ranking 2019 publication places Peru in the 57th position of 149 countries with 73.31 points. This research aims to recognize the level of social progress at the district level based on well-being, so the objective is to calculate the Social Progress Index of the Palpa province of the Ica region. Therefore, the five districts were considered: Santa Cruz, Llipata, Río Grande, Palpa, and Tibillo; in a total sample of 352 households, grouped into two zones. The applied methodology allowed to determine 44 final indicators that make up the 12 components in the three dimensions. The results place the province of Palpa with 57.22 at the Medium low level; the Basic Human Needs dimension with 66.69 points, Foundations of well-being with 59.07 points and Opportunity with 45.89 points. The zone II reached the highest position with 56.48 points being the city and the urban area of the province, while the zone I registered the lowest score 55.15 points, which highlight the disadvantages in access to information and telecommunications, access to higher education, and personal rights. This first measurement in the province of Palpa allows to be a tool to guide social investment and identify the needs that must be met.Tesi

Towards relativistic hydrodynamics with spin currents

In this thesis, some aspects of hydrodynamics on systems with non-trivial spin degrees of freedom are studied. We start by identifying the relevant spin degrees of freedom and how they can be incorporated in the hydrodynamic expansion. After this has been achieved we modify the constitutive relations to include such degrees of freedom, this is done in a way compatible with the second law of thermodynamics. Conformal symmetry in the presence of spin degrees of freedom is also analyzed and is used to write down an idealized model that resembles the quark gluon plasma generated in heavy ion collisions. From this model the expected polarization of particles after such a collision is computed and compared to experimental data. Finally, we use the fluid gravity correspondence and a five dimensional gravitational toy model to exemplify how the new spin related transport coefficients of a strongly interactive quantum field theory can be computed from a dual gravitational theory

Towards relativistic hydrodynamics with spin currents

In this thesis, some aspects of hydrodynamics on systems with non-trivial spin degrees of freedom are studied. We start by identifying the relevant spin degrees of freedom and how they can be incorporated in the hydrodynamic expansion. After this has been achieved we modify the constitutive relations to include such degrees of freedom, this is done in a way compatible with the second law of thermodynamics. Conformal symmetry in the presence of spin degrees of freedom is also analyzed and is used to write down an idealized model that resembles the quark gluon plasma generated in heavy ion collisions. From this model the expected polarization of particles after such a collision is computed and compared to experimental data. Finally, we use the fluid gravity correspondence and a five dimensional gravitational toy model to exemplify how the new spin related transport coefficients of a strongly interactive quantum field theory can be computed from a dual gravitational theory

Dynamical gauge fields and anomalous transport at strong coupling

Anomalous transport coefficients are known to be universal in the absence of dynamical gauge fields. We calculate the corrections to these universal values due to dynamical gluon fields at strong coupling, at finite temperature and finite density, using the holographic duality. We show that the consistent chiral magnetic and chiral vortical currents receive no corrections, while we derive a semi-analytic formula for the chiral separation conductivity. We determine these corrections in the large color, large flavor limit, in terms of a series expansion in the anomalous dimension $\Delta$ of the axial current in terms of physical parameters $\Delta$, temperature, electric and chiral chemical potentials and the flavor to color ratio $\frac{N_f}{N_c}$. Our results are applicable to a generic class of chiral gauge theories that allow for a holographic description in the gravity approximation. We also determine the dynamical gluon corrections to the chiral vortical separation current in a particular example in the absence of external axial fields