Article
Astronomy & Astrophysics
M. A. L. Capri, S. P. Sorella, R. C. Terin
Summary: In the refined Gribov-Zwanziger setup, a composite BRST invariant fermionic operator coupled to the inverse of the Faddeev-Popov operator is introduced, leading to the construction of an effective BRST invariant action in Euclidean space-time. This enables the study of the behavior of the fermion propagator in the infrared region within the class of linear covariant gauges. The aforementioned action is proven to be renormalizable to all orders through the algebraic renormalization procedure.
Article
Astronomy & Astrophysics
David Dudal, David Vercauteren
Summary: In our previous work, we developed an effective potential approach for the Gribov-Zwanziger model at zero temperature, considering both the restriction to the first Gribov region and the effect of dynamical dimension-two vacuum condensates. In this study, we investigate the model at finite temperature with a background gauge field, allowing access to the Polyakov loop expectation value and the Yang-Mills (de)confinement phase structure. We compare two methods proposed in the literature, one based on a dressed, Becchi-Rouet-Stora-Tyutin invariant, gluon field and the other based on a Wilson-loop dressed Gribov-Zwanziger auxiliary field sector. The latter method performs better in estimating the critical temperature and predicting the order of the transition.
Article
Astronomy & Astrophysics
E. Gotsman, Yu P. Ivanov, E. Levin
Summary: This paper investigates a new evolution equation for high energy scattering amplitude from the Gribov-Zwanziger approach, finding that the energy dependence is similar to QCD BFKL evolution, the spectrum is independent of the approach details, and all eigenfunctions coincide with QCD BFKL equation at large transverse momenta. Numerical calculations show no new eigenvalues decreasing faster than solutions of QCD BFKL equation, suggesting that the Gribov-Zwanziger approach solves the theoretical problem of behavior at large impact parameters without affecting the scattering amplitude.
Article
Astronomy & Astrophysics
Sadaf Madni, Arghya Mukherjee, Aritra Bandyopadhyay, Najmul Haque
Summary: In this study, we estimate the heavy quark diffusion coefficient based on the Gribov-Zwanziger prescription. By incorporating the modified gluon propagator in the analysis, we find a reasonable agreement with the existing lattice estimations of kappa within the model uncertainties.
Article
Astronomy & Astrophysics
Gustavo P. de Brito, Philipe De Fabritiis, Antonio D. Pereira
Summary: The refined Gribov-Zwanziger (RGZ) action in the Landau gauge explains the existence of infinitesimal Gribov copies and the formation of condensates in the infrared of Euclidean Yang-Mills theories. The one-loop scalar propagator in the adjoint representation of the gauge group coupled to the RGZ action is computed and compared with existing lattice data. The study finds good agreement between the lattice data of the scalar propagator and the values of the mass parameters that fit the RGZ gluon propagator to the lattice, suggesting that the nonperturbative information carried by the gluon propagator in the RGZ framework provides a suitable mechanism to reproduce the behavior of correlation functions of colored matter fields in the infrared.
Article
Astronomy & Astrophysics
E. Gotsman, E. Levin
Summary: In this paper, the high energy evolution equation in the Gribov-Zwanziger approach for the confinement of quarks and gluons is derived, addressing the main difficulties of the color glass condensate high energy effective theory. The new equation leads to an exponential decrease of the scattering amplitude at large impact parameter and the formation of a Froissart disc with increasing radius proportional to Y = ln(1/x).
Article
Astronomy & Astrophysics
Igor F. Justo, Antonio D. Pereira, Rodrigo F. Sobreiro
Summary: In this paper, we introduce a background gauge for the quantization of Euclidean Yang-Mills theories, which is deformed by the presence of a gauge parameter. This gauge allows us to explicitly investigate the effects of infinitesimal Gribov copies and their impact on the background and gauge parameter dependence. We construct a BRST symmetric action in this gauge, eliminating regular infinitesimal Gribov copies similar to the recently introduced BRST invariant Gribov-Zwanziger action. The issue of background dependence and its relation to gauge parameter dependence is discussed in the context of nonperturbative effects driven by the elimination of Gribov copies.
Article
Physics, Multidisciplinary
Urko Reinosa, Julien Serreau, Rodrigo Carmo Terin, Matthieu Tissier
Summary: By summing over all Gribov copies with some weight function, we propose a gauge-fixing procedure that overcomes the Gribov ambiguity in the Landau gauge. This approach involves a local field theory with constrained, nonlinear sigma model fields. A phenomenon of radiative symmetry restoration occurs in this theory, leading to a nonzero gluon screening mass as observed in lattice simulations.
Article
Astronomy & Astrophysics
Yu Shi, Shu-Yi Wei, Jian Zhou
Summary: We have developed a novel Monte Carlo parton branching algorithm based on the Gribov-Levin-Ryskin (GLR) equation and presented the formulations for both forward and backward evolution of the GLR equation. The results from the Monte Carlo implementation of the GLR equation agree with its numerical solutions. Our work thus provides a foundation for developing an event generator that incorporates the saturation effect.
Article
Astronomy & Astrophysics
Marcela Pelaez, Urko Reinosa, Julien Serreau, Nicolas Wschebor
Summary: This article continues the investigation of QCD dynamics using the Curci-Ferrari effective Lagrangian, which deforms the Faddeev-Popov one in the Landau gauge with a tree-level gluon mass term. The study focuses on the dynamics of chiral symmetry breaking and the generation of a constituent quark mass. Additionally, the associated Goldstone mode, the pion, is studied, and the pion decay constant in the chiral limit is computed.
Article
Physics, Multidisciplinary
Mauricio Narciso Ferreira
Summary: In quantum chromodynamics (QCD), the mass of gluons is generated by the Schwinger mechanism, where massless bound-states of gluons result in coupled poles in the vertices. This study presents a method to determine these poles using lattice QCD results for propagators and vertices. By examining the modifications in the Ward identities (WIs), known as displacements, induced by the Schwinger mechanism poles, the displacement functions are found to correspond to the Bethe-Salpeter amplitudes of the massless bound-states. This approach is applied to the three-gluon vertex in pure Yang-Mills SU(3), and the obtained displacement is consistent with predictions based on the Bethe-Salpeter equation.
Article
Physics, Particles & Fields
Adamu Issifu, Julio C. M. Rocha, Francisco A. Brito
Summary: The study focuses on a phenomenological model that replicates the characteristics of QCD theory at finite temperature, including key features such as confinement and deconfinement. It explores both light and heavy quark potentials, string tensions, and other confining properties, developing flux tube and Cornell potentials depending on different regimes. The study is specifically focused on the ultraviolet (UV) and infrared (IR) regimes.
ADVANCES IN HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
David Dudal, Orlando Oliveira, Martin Roelfs
Summary: This study proposes and explores a method for estimating the Kallen-Lehmann spectral density from gauge invariant lattice QCD two point correlation functions through an appropriate inversion method. As a proof of concept, the SU(2) glueball spectrum with quantum numbers J(PC) = 0(++) is investigated, with different values of the lattice spacing. The estimates for the ground state mass are in good agreement with the traditional approach based on the large time exponential behavior of the correlation functions, and hints of excited states in the spectrum are found in the spectral density.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Multidisciplinary Sciences
David Dudal, Filipe Matusalem, Ana Julia Mizher, Alexandre Reily Rocha, Cristian Villavicencio
Summary: In this study, we propose a novel type of intrinsic half-integer Quantum Hall effect that can be achieved in 2D materials without the need for a magnetic field, providing a topological protection mechanism for the current. We conjecture that this effect may occur in disturbed honeycomb lattices where both spin degeneracy and time reversal symmetry are broken, and provide examples of promising material setups to motivate further research at the numerical and experimental level.
SCIENTIFIC REPORTS
(2022)
Article
Physics, Particles & Fields
Fabrizio Canfora, David Dudal, Thomas Oosthuyse, Pablo Pais, Luigi Rosa
Summary: We calculate the Casimir energy and force densities in a chiral extension of QED using path integral methods. By implementing manifestly gauge invariant perfect electromagnetic boundary conditions and modeling the chiral properties of the vacuum with a background 9 field, we are able to efficiently calculate the path integral in this chiral medium. Our method allows us to obtain results for various configurations and is in perfect agreement with existing literature.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Thibault Lechien, David Dudal
Summary: This research proposes using neural networks to reconstruct spectral functions and extends it to reconstructing complex poles or an infrared cutoff. By training the network on physically motivated toy functions and genuine lattice QCD data, encouraging results are found, suggesting potential significant improvements over current state-of-the-art methods.
Article
Geochemistry & Geophysics
Wouter Deleersnyder, Benjamin Maveau, Thomas Hermans, David Dudal
Summary: Regularization methods improve the stability of ill-posed inverse problems by introducing prior characteristics for the solution. In this paper, a multidimensional scale-dependent wavelet-based l(1)-regularization term is proposed to solve the ill-posed airborne electromagnetic induction inverse problem. The regularization term is flexible and can recover various inversion models based on a suitable wavelet basis function.
GEOPHYSICAL JOURNAL INTERNATIONAL
(2023)
Article
Environmental Sciences
Wouter Deleersnyder, David Dudal, Thomas Hermans
Summary: This paper proposes an appraisal tool for evaluating the inconsistency between the inversion model and multidimensional data, using a normalized gradient calculated based on multidimensional forward modeling. Additionally, an alternative approach is suggested to account for imperfect forward modeling with low computational cost. The method is demonstrated on an AEM survey, revealing potential problematic zones in the estimated fresh-saltwater interface.
Article
Physics, Particles & Fields
Bhaskar Shukla, David Dudal, Subhash Mahapatra
Summary: We investigate the emergence of chaos in the QCD confining string in a magnetic field from a holographic viewpoint, and find that the degree of chaos is influenced by the choice of framework and the relative orientation of the string and magnetic field.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
David Dudal, David Vercauteren
Summary: In our previous work, we developed an effective potential approach for the Gribov-Zwanziger model at zero temperature, considering both the restriction to the first Gribov region and the effect of dynamical dimension-two vacuum condensates. In this study, we investigate the model at finite temperature with a background gauge field, allowing access to the Polyakov loop expectation value and the Yang-Mills (de)confinement phase structure. We compare two methods proposed in the literature, one based on a dressed, Becchi-Rouet-Stora-Tyutin invariant, gluon field and the other based on a Wilson-loop dressed Gribov-Zwanziger auxiliary field sector. The latter method performs better in estimating the critical temperature and predicting the order of the transition.
Article
Astronomy & Astrophysics
Jose Roberto Lessa, Fernando E. Serna, Bruno El-Bennich, Adnan Bashir, Orlando Oliveira
Summary: In this study, we investigate the dependence of the quark propagator in quantum chromodynamics on the gauge parameter by solving the gap equation. We use a nonperturbative quark-gluon vertex that satisfies various constraints and has no kinematic singularities. Gluon propagators in renormalizable R xi gauges obtained from lattice QCD studies are employed. We find that the nonperturbative quark propagator has a gauge-dependent behavior, with the mass function increasing in the infrared domain proportional to the gauge-fixing parameter, while the wave renormalization decreases within the considered range of xi (0 <= xi <= 1). The gauge dependence of the chiral quark condensate is mild within the explored region of xi. We discuss possibilities for further research in conjunction with generalized gauge covariance relations for QCD.
Article
Astronomy & Astrophysics
Alexandre F. Falcao, Orlando Oliveira
Summary: The analytic structure of two flavorful QCD lattice Landau gauge quark propagators is examined using Pade approximants, which indicate the absence of complex momentum poles for the propagator. However, a real on-axis negative Euclidean momentum pole is observed, indicative of an effective quark mass. This pole is consistent with phenomenological effective quark models and shows a correlation with the pion mass. Slight differences between the poles for the two quark form factors suggest either a limitation of the method or the absence of a spectral representation for the quark propagator.
Article
Astronomy & Astrophysics
D. Dudal, D. M. van Egmond, U. Reinosa, D. Vercauteren
Summary: In this paper, we discuss a BRST-invariant generalization of the massive background Landau gauge, similar to the original Curci-Ferrari model. The mass parameter is obtained through dimensional transmutation via a BRST-invariant dimension-2 gluon condensate. By using Zimmermann's reduction of constants program, we fix the value of the mass parameter to values close to those obtained within the Curci-Ferrari approach. We also study the inclusion of the Polyakov loop in the self-consistent background field and investigate the deconfinement transition and its interplay with the condensate and its electric-magnetic asymmetry. We observe a continuous phase transition in the SU(2) case and a first-order one in the SU(3) case, with values close to those obtained within the Curci-Ferrari model.
Article
Astronomy & Astrophysics
Siddhi Swarupa Jena, Bhaskar Shukla, David Dudal, Subhash Mahapatra
Summary: We continue our study on a holographic QCD model with a magnetic field, focusing on the entropy of a quark-antiquark pair. We observe a magnetic field dependence in the decreasing entropy near deconfinement and in the entropy variation for growing interquark separation. The results provide evidence for inverse magnetic catalysis and suggest that the magnetic field can promote quarkonium dissociation.
Article
Astronomy & Astrophysics
D. Dudal, D. M. van Egmond, I. F. Justo, G. Peruzzo, S. P. Sorella
Summary: The renormalization properties of two local gauge invariant composite operators in the SU(2) Higgs model are analyzed to all orders in perturbation theory. A powerful global Ward identity, related to an exact custodial symmetry, is derived for the first time and has deep consequences at the quantum level. The conserved Noether currents of the custodial symmetry are found to be the gauge invariant vector operators. Using this Ward identity, it is proven that the longitudinal component of the two-point correlation function of these operators exhibits only a tree-level nonvanishing contribution, independent of momentum. The renowned nonrenormalization theorem for the ghost-antighost-vector boson vertex in Landau gauge also holds true in the presence of the Higgs field.
Article
Astronomy & Astrophysics
Lee C. Loveridge, Orlando Oliveira, Paulo J. Silva
Summary: This study investigates the connection between confinement and positivity violation in the lattice regularized pure gauge compact U(1) theory through the Schwinger function associated with the Landau gauge photon propagator. The simulations demonstrate a clear link between the realization of confinement and positivity violation of the photon Schwinger function, with a computed mass scale distinguishing the two phases of the theory.
