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    A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges

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    In this work, we study the propagators of matter fields within the framework of the Refined Gribov-Zwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the Refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the Faddeev-Popov operator is added in the matter sector. Making use of the recent BRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capri et al 2016], the propagators of scalar and quark fields in the adjoint and fundamental representations of the gauge group are worked out explicitly in the linear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever lattice data are available, our results exhibit good qualitative agreement.Comment: 27 pages, no figures; V2, minor modifications, to appear in EPJ

    Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies

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    In this paper, a proposal for the restriction of the Euclidean functional integral to a region free of infinitesimal Gribov copies in linear covariant gauges is discussed. An effective action, akin to the Gribov-Zwanziger action of the Landau gauge, is obtained which implements the aforementioned restriction. Although originally non-local, this action can be cast in local form by introducing auxiliary fields. As in the case of the Landau gauge, dimension two condensates are generated at the quantum level, giving rise to a refinement of the action which is employed to obtain the tree-level gluon propagator in linear covariant gauges. A comparison of our results with those available from numerical lattice simulations is also provided.Comment: 21 pages, no figures, version to appear in EPJ

    A computationally efficient method for calculating the maximum conductance of disordered networks: Application to 1-dimensional conductors

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    Random networks of carbon nanotubes and metallic nanowires have shown to be very useful in the production of transparent, conducting films. The electronic transport on the film depends considerably on the network properties, and on the inter-wire coupling. Here we present a simple, computationally efficient method for the calculation of conductance on random nanostructured networks. The method is implemented on metallic nanowire networks, which are described within a single-orbital tight binding Hamiltonian, and the conductance is calculated with the Kubo formula. We show how the network conductance depends on the average number of connections per wire, and on the number of wires connected to the electrodes. We also show the effect of the inter-/intra-wire hopping ratio on the conductance through the network. Furthermore, we argue that this type of calculation is easily extendable to account for the upper conductivity of realistic films spanned by tunneling networks. When compared to experimental measurements, this quantity provides a clear indication of how much room is available for improving the film conductivity.Comment: 7 pages, 5 figure

    Axial gravity, massless fermions and trace anomalies

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    This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the theoretical background underlying the approach and complete the calculation of the anomaly. The reference is in particular to the difference between Weyl and massless Majorana fermions and to the possible contributions from tadpole and seagull terms in the Feynman diagram approach. A first, basic, result of this paper is that a more thorough treatment, taking account of such additional terms { and using dimensional regularization}, confirms the earlier result. The introduction of an axial symmetric tensor besides the usual gravitational metric is instrumental to a different derivation of the same result using Dirac fermions, which are coupled not only to the usual metric but also to the additional axial tensor. The action of Majorana and Weyl fermions can be obtained in two different limits of such a general configuration. The results obtained in this way confirm the previously obtained ones.Comment: 55 pages, comments added in section 2 and 5. Sections 6.4, 6.6, 7, 7.1, 7.2 and Appendices 5.3, 5.5 partially modifie

    Desmatamento e práticas agrícolas adotadas pelos produtores rurais dos municípios cearenses de Barbalha e Jardim .

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    A crescente necessidade do aumento da produção agrícola tem maximizado o uso dos solos pelas atividades agrícolas, muitas vezes de forma inadequada, reduzindo a capacidade produtiva desses solos. Este trabalho teve como objetivo identificar as práticas agrícolas e o uso do solo nas áreas rurais dos municípios cearenses de Barbalha e Jardim. Inicialmente foi feita a identificação das áreas pesquisadas, que constituiu-se de um questionário aplicado a quarenta agricultores, vinte no município de Barbalha e vinte no município de Jardim. Os dados foram tabulados no Excel. Foi realizado ainda um levantamento bibliográfico acerca das características da vegetação local e das técnicas de agricultura mais utilizadas. Os resultados obtidos mostraram que em Jardim 65% e Barbalha 55% dos agricultores utilizam a queimada como prática de limpeza dos solos, sendo que os demais utilizam-se apenas da roçada. O uso da queimada variou de acordo com a faixa etária produtores entrevistados, sendo maior entre os de 50 a 79 anos do município de Barbalha (60%), em relação aos de Jardim (50%). Com relação a outras práticas conservacionistas constatou-se que 85% utilizam o sistema de monocultura; e que 15% usam a rotação de cultura nos dois municípios. Foi observado ainda que 80% do município de Barbalha e 70% do município de Jardim reconhecem que a prática da queimada é danosa para o meio ambiente. O trabalho realizado aponta a necessidade de conscientizar a população rural dos municípios estudados sobre a necessidade de proteger o meio ambiente e incentivar o uso de práticas agrícolas sustentávei
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