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
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
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
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
Wan Wu, Guojun Huang, Jiaxing Zhao, Pengfei Zhuang
Summary: The interaction potential between heavy quarks is calculated using the resummed perturbation method in the Gribov-Zwanziger approach around the deconfinement phase transition. The complex potential is a result of the resummed loop correction, where the real part is suppressed by color screening and becomes short-ranged at high temperatures, while the imaginary part is enhanced through decay processes in a hot medium and becomes comparable to the real part around the phase transition. The strong imaginary potential, originating from the magnetic scale in the GZ approach, shows the importance of both color screening and decay processes in quarkonium dissociation in high-energy nuclear collisions.
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
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
Materials Science, Multidisciplinary
Imre Hagymasi, Vincent Noculak, Johannes Reuther
Summary: In this study, the ground-state properties of the nearest-neighbor S = 1 pyrochlore Heisenberg antiferromagnet were investigated using two complementary numerical methods, the density-matrix renormalization group (DMRG) and pseudofermion functional renormalization group (PFFRG). The results showed indications of robust C3 rotation symmetry breaking in both the 32-site and 48-site clusters, while the 48-site cluster also exhibited inversion symmetry breaking. The symmetry-breaking tendencies were found to be more pronounced than in the S = 1/2 system in both methods.
Review
Engineering, Multidisciplinary
Harshwardhan Praveen, Nicolas Boulle, Christopher Earls
Summary: We propose a data-driven approach to mathematically model unknown physical systems using the learned Green's function. Two methods are presented to learn the Green's function, one using the proper orthogonal decomposition (POD) modes and the other using a generalization of the randomized singular value decomposition (SVD). A manifold interpolation scheme is then proposed to uncover suitable eigenmodes at unseen model parameters. The approximation and interpolation techniques are demonstrated on examples in one and two dimensions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Physics, Particles & Fields
Greg Kaplanek, C. P. Burgess
Summary: The study examines the late-time evolution of a qubit near the event horizon of a Schwarzschild black hole interacting with a free quantum scalar field. It is found that for qubits sufficiently close to the horizon, the late-time evolution takes a simple universal form dependent only on the near-horizon geometry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Mohd Ali, Vardarajan Suneeta
Summary: In this paper, the quantization of a recent model proposed by Carlip is discussed. This model presents a way to link boundary degrees of freedom with the stretched horizon of a stationary nonextremal black hole, similar to the approach used in Jackiw-Teitelboim (JT) gravity for near-extremal black holes. The path integral includes an integral over the boundary degrees of freedom, which are time reparametrizations of the stretched horizon with fixed length. These boundary degrees of freedom can be considered as elements of DiffoS1 thorn /S1, the coadjoint orbit of an ordinary coadjoint vector under the action of the Virasoro group. The measure in the boundary path integral is obtained from the symplectic form on this manifold. A one-loop computation around the classical solution reveals that the one-loop answer is not finite, suggesting either the instability of the classical solution or an indefiniteness problem with this action, similar to the conformal mode problem in quantum gravity. By analytically continuing the field, the obtained boundary partition function is independent of the inverse temperature and does not contribute to thermodynamics, at least at one-loop, in contrast to near-extremal black holes in JT gravity where the entire contribution to thermodynamics comes from boundary degrees of freedom.
Article
Computer Science, Software Engineering
Jingwei Tang, Vinicius C. Azevedo, Guillaume Cordonnier, Barbara Solenthaler
Summary: This paper proposes a machine learning approach to regress a Green's function from boundary conditions for solving linear systems of equations stemming from Laplacian operators. The proposed method effectively represents the Green's function in a multi-scale fashion, reducing the cost associated with a dense matrix representation. Moreover, training the neural network does not require sampling the right-hand side of the linear system. Experimental results demonstrate that the proposed method outperforms state-of-the-art Conjugate Gradient and Multigrid methods.
COMPUTERS & GRAPHICS-UK
(2022)
Article
Physics, Particles & Fields
A. Ivanov, N. Kharuk
Summary: In this paper, we investigate the two-loop contribution to the effective action of the four-dimensional quantum Yang-Mills theory. We derive a new formula for this contribution and test its consistency with results from other works using dimensional regularization and cutoff regularization.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Environmental Sciences
Yun Qian, Han Wang, Jiansheng Wu
Summary: The study found that increasing impervious surface and population proportions can increase urban waterlogging risks, while increasing green space proportions can help reduce risks. In Shenzhen, it is important to strengthen green infrastructure construction in Luohu and Futian districts, while Longgang and Longhua districts need to make comprehensive use of other flood prevention measures. Additionally, converting existing urban green spaces into impervious surfaces can increase the risk of waterlogging.
Article
Physics, Multidisciplinary
Imre Hagymasi, Robin Schafer, Roderich Moessner, David J. Luitz
Summary: The study reveals a robust spontaneous inversion symmetry breaking in the S = 1/2 pyrochlore Heisenberg antiferromagnet, and suggests a scenario where a finite-temperature spin liquid regime transitions to a symmetry-broken state at low temperatures. The ground-state energy calculation and cluster size analysis provide insights into the properties of the quantum spin liquid candidate.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
D. Dudal, D. M. van Egmond, M. S. Guimaraes, L. F. Palhares, G. Peruzzo, S. P. Sorella
Summary: The spectral properties of a set of local gauge invariant composite operators in the SU(2) Yang-Mills-Higgs model with a single Higgs field in the fundamental representation were investigated. It was found that the spectral functions of elementary fields are strongly dependent on the gauge parameter and can exhibit unphysical behavior, whereas the BRST invariant local operators exhibit a well-defined positive spectral density.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Nuclear
D. Dudal, A. Hajilou, S. Mahapatra
Summary: This study extends previous work by introducing an Einstein-Maxwell-Dilaton (EMD) action with two quark flavours, solving the equations of motion in the quenched approximation using the potential reconstruction method in the presence of a background magnetic field. The research aims to find a self-consistent dual magnetic AdS/QCD model and discusses the deconfinement transition temperature, confirming inverse magnetic catalysis, and comparing entropy density with lattice data in the vicinity of the transition for moderate values of the magnetic field.
EUROPEAN PHYSICAL JOURNAL A
(2021)
Article
Geochemistry & Geophysics
Wouter Deleersnyder, Benjamin Maveau, Thomas Hermans, David Dudal
Summary: The study proposes a new inversion scheme for electromagnetic induction data by leveraging the sparsity of the model in the wavelet domain, improving efficiency and accuracy. Transformation to the wavelet domain allows for exploration of the temporal and spatial characteristics of the model, simplifying it by reducing small-scale coefficients. The scheme supports various regularization methods and can choose different wavelet basis functions based on the desired conductivity profile.
GEOPHYSICAL JOURNAL INTERNATIONAL
(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
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
Hardik Bohra, David Dudal, Ali Hajilou, Subhash Mahapatra
Summary: The study refines a previously introduced 5-dimensional gravity solution to better capture qualitative aspects of QCD in a strong magnetic background, such as anisotropic behavior of string tension and inverse catalysis at the deconfinement transition level. The researchers modified the solution to overcome previous limitations and bring the holographic QCD model closer to predicting magnetic QCD quantities not directly computable via lattice techniques.
