Attilio Cucchieri
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Attilio Cucchieri has a total of 17 co-authors. Here are the top co-authors by number of shared publications:
- Tereza Mendes
Instituto de Física de São Carlos Universidade de São Paulo C.P. 369 13560-970 São Carlos SP Brazil
58 shared publications - David Dudal
KU Leuven
18 shared publications - Nele Vandersickel
Ghent University
14 shared publications - Axel Maas
Universität Graz
9 shared publications - Orlando Oliveira
University of Coimbra
5 shared publications - Paulo J. Silva
University of Coimbra
5 shared publications
Latest Publications
- Open Access
Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator
We expand our previous study of replicated gauge configurations in lattice SU() Yang–Mills theory—employing Bloch’s theorem from condensed matter physics—to construct gauge-fixed field configurations on significantly larger lattices than the original, or primitive, one. We present a comprehensive discussion of the general gauge-fixing problem, identifying advantages of the replicated-lattice approach. In particular, the consideration of Bloch waves leads us to a visualization of the extended gauge-fixed configurations in terms of (color) magnetization domains. Moreover, we are able to explore features of the method to optimize the evaluation of gauge fields in momentum space, furthering our knowledge of the “allowed momenta”, an issue that has hindered wider applications of this approach up to now. Interestingly, our analysis yields both a better conceptual understanding of the problem and a more efficient way to compute the desired large-volume observables.Open AccessBloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator
We expand our previous study of replicated gauge configurations in lattice SU() Yang–Mills theory—employing Bloch’s theorem from condensed matter physics—to construct gauge-fixed field configurations on significantly larger lattices than the original, or primitive, one. We present a comprehensive discussion of the general gauge-fixing problem, identifying advantages of the replicated-lattice approach. In particular, the consideration of Bloch waves leads us to a visualization of the extended gauge-fixed configurations in terms of (color) magnetization domains. Moreover, we are able to explore features of the method to optimize the evaluation of gauge fields in momentum space, furthering our knowledge of the “allowed momenta”, an issue that has hindered wider applications of this approach up to now. Interestingly, our analysis yields both a better conceptual understanding of the problem and a more efficient way to compute the desired large-volume observables. - Open Access
- 14 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-37
Probing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants
We employ Padé approximants in the study of the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions for the lattice data. We carefully propagate the uncertainties due to the fitting procedure, taking into account all possible correlations. For the gluon-propagator data, we confirm the presence of a pair of complex poles at $$ {p}_{\textrm{pole}}^2 $$ = [(−0.37 ± 0.05stat± 0.08sys) ± i (0.66 ± 0.03stat± 0.02sys)] GeV2, where the first error is statistical and the second systematic. The existence of this pair of complex poles, already hinted upon in previous works, is thus put onto a firmer basis, thanks to the model independence and to the careful error propagation of our analysis. For the ghost propagator, the Padés indicate the existence of a single pole at p2 = 0, as expected. In this case, our results also show evidence of a branch cut along the negative real axis of p2. This is corroborated with another type of approximant, the D-Log Padés, which are better suited to studying functions with a branch cut and are applied here for the first time in this context. Due to particular features and limited statistics of the gluon-propagator data, our analysis is inconclusive regarding the presence of a branch cut in the gluon case.- 14 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-37
Open AccessProbing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants
We employ Padé approximants in the study of the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions for the lattice data. We carefully propagate the uncertainties due to the fitting procedure, taking into account all possible correlations. For the gluon-propagator data, we confirm the presence of a pair of complex poles at $$ {p}_{\textrm{pole}}^2 $$ = [(−0.37 ± 0.05stat± 0.08sys) ± i (0.66 ± 0.03stat± 0.02sys)] GeV2, where the first error is statistical and the second systematic. The existence of this pair of complex poles, already hinted upon in previous works, is thus put onto a firmer basis, thanks to the model independence and to the careful error propagation of our analysis. For the ghost propagator, the Padés indicate the existence of a single pole at p2 = 0, as expected. In this case, our results also show evidence of a branch cut along the negative real axis of p2. This is corroborated with another type of approximant, the D-Log Padés, which are better suited to studying functions with a branch cut and are applied here for the first time in this context. Due to particular features and limited statistics of the gluon-propagator data, our analysis is inconclusive regarding the presence of a branch cut in the gluon case. - Open Access
Probing singularities of Landau-gauge propagators with Padé approximants
Pad\'e approximants are employed in order to study the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, are used as fitting functions to lattice data for the propagators, carefully propagating uncertainties due to the fit procedure and taking into account all possible correlations. Applying this procedure systematically to the gluon-propagator data, we observe the presence of a pair of complex poles at $p^2_{\mathrm{pole}} = (-0.37 \pm 0.05_{\mathrm{stat}} \pm 0.08_{\mathrm{sys}}) \pm \, i\, (0.66 \pm 0.03_{\mathrm{stat}} \pm 0.02_{\mathrm{sys}}) \, \mathrm{GeV}^2$, where ``stat'' represents the statistical error and ``sys'' the systematic one. We also find a zero on the negative real axis of $p^2$, at $p^2_{\mathrm{zero}} = (-2.9 \pm 0.4_{\mathrm{stat}} \pm 0.9_{\mathrm{sys}}) \, \mathrm{GeV}^2$. We thus note that our procedure -- which is based on a model-independent approach and includes careful error propagation -- confirms the presence of a pair of complex poles in the gluon propagator, in agreement with previous works. For the ghost propagator, the Pad\'es indicate the existence of the single pole at $p^2 = 0$, as expected. We also find evidence of a branch cut on the negative real axis. Through the use of the so-called D-Log Pad\'e method, which is designed to approximate functions with cuts, we corroborate the existence of this cut for the ghost propagator.Open AccessProbing singularities of Landau-gauge propagators with Padé approximants
Pad\'e approximants are employed in order to study the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, are used as fitting functions to lattice data for the propagators, carefully propagating uncertainties due to the fit procedure and taking into account all possible correlations. Applying this procedure systematically to the gluon-propagator data, we observe the presence of a pair of complex poles at $p^2_{\mathrm{pole}} = (-0.37 \pm 0.05_{\mathrm{stat}} \pm 0.08_{\mathrm{sys}}) \pm \, i\, (0.66 \pm 0.03_{\mathrm{stat}} \pm 0.02_{\mathrm{sys}}) \, \mathrm{GeV}^2$, where ``stat'' represents the statistical error and ``sys'' the systematic one. We also find a zero on the negative real axis of $p^2$, at $p^2_{\mathrm{zero}} = (-2.9 \pm 0.4_{\mathrm{stat}} \pm 0.9_{\mathrm{sys}}) \, \mathrm{GeV}^2$. We thus note that our procedure -- which is based on a model-independent approach and includes careful error propagation -- confirms the presence of a pair of complex poles in the gluon propagator, in agreement with previous works. For the ghost propagator, the Pad\'es indicate the existence of the single pole at $p^2 = 0$, as expected. We also find evidence of a branch cut on the negative real axis. Through the use of the so-called D-Log Pad\'e method, which is designed to approximate functions with cuts, we corroborate the existence of this cut for the ghost propagator. - Open Access
- 29 November 2022
- Published by Sissa Medialab Srl
- Vol. 430, 376
Probing singularities of Landau-gauge propagators with Padé approximants
Padé approximants are employed in order to study the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, are used as fitting functions to lattice data for the propagators, carefully propagating uncertainties due to the fit procedure and taking into account all possible correlations. Applying this procedure systematically to the gluon-propagator data, we observe the presence of a pair of complex poles at $p^2_{\mathrm{pole}} = (-0.37 \pm 0.05_{\mathrm{stat}} \pm 0.08_{\mathrm{sys}}) \pm \, i\, (0.66 \pm 0.03_{\mathrm{stat}}\pm 0.02_{\mathrm{sys}}) \, \mathrm{GeV}^2$, where ''stat'' represents the statistical error and ''sys'' the systematic one. We also find a zero on the negative real axis of $p^2$, at $p^2_{\mathrm{zero}} = (-2.9 \pm 0.4_{\mathrm{stat}} \pm 0.9_{\mathrm{sys}}) \, \mathrm{GeV}^2$. We thus note that our procedure --- which is based on a model-independent approach and includes careful error propagation --- confirms the presence of a pair of complex poles in the gluon propagator, in agreement with previous works. For the ghost propagator, the Padés indicate the existence of the single pole at $p^2 = 0$, as expected. We also find evidence of a branch cut on the negative real axis. Through the use of the so-called D-Log Padé method, which is designed to approximate functions with cuts, we corroborate the existence of this cut for the ghost propagator.- 29 November 2022
- Published by Sissa Medialab Srl
- Vol. 430, 376
Open AccessProbing singularities of Landau-gauge propagators with Padé approximants
Padé approximants are employed in order to study the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, are used as fitting functions to lattice data for the propagators, carefully propagating uncertainties due to the fit procedure and taking into account all possible correlations. Applying this procedure systematically to the gluon-propagator data, we observe the presence of a pair of complex poles at $p^2_{\mathrm{pole}} = (-0.37 \pm 0.05_{\mathrm{stat}} \pm 0.08_{\mathrm{sys}}) \pm \, i\, (0.66 \pm 0.03_{\mathrm{stat}}\pm 0.02_{\mathrm{sys}}) \, \mathrm{GeV}^2$, where ''stat'' represents the statistical error and ''sys'' the systematic one. We also find a zero on the negative real axis of $p^2$, at $p^2_{\mathrm{zero}} = (-2.9 \pm 0.4_{\mathrm{stat}} \pm 0.9_{\mathrm{sys}}) \, \mathrm{GeV}^2$. We thus note that our procedure --- which is based on a model-independent approach and includes careful error propagation --- confirms the presence of a pair of complex poles in the gluon propagator, in agreement with previous works. For the ghost propagator, the Padés indicate the existence of the single pole at $p^2 = 0$, as expected. We also find evidence of a branch cut on the negative real axis. Through the use of the so-called D-Log Padé method, which is designed to approximate functions with cuts, we corroborate the existence of this cut for the ghost propagator. - Open Access
- 29 May 2019
- Published by Sissa Medialab Srl
- Vol. 334, 252
Lattice Computation of the Ghost Propagator in Linear Covariant Gauges
We discuss the subtleties concerning the lattice computation of the ghost propagator in linear covariant gauges, and present preliminary numerical results.
- 29 May 2019
- Published by Sissa Medialab Srl
- Vol. 334, 252
Open AccessLattice Computation of the Ghost Propagator in Linear Covariant Gauges
We discuss the subtleties concerning the lattice computation of the ghost propagator in linear covariant gauges, and present preliminary numerical results.
- Open Access
Ghost Sector in Minimal Linear Covariant Gauge
We discuss possible definitions of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present preliminary results for the ghost propagator.
Open AccessGhost Sector in Minimal Linear Covariant Gauge
We discuss possible definitions of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present preliminary results for the ghost propagator.
- Open Access
Lattice Computation of the Ghost Propagator in Linear Covariant Gauges
We discuss the subtleties concerning the lattice computation of the ghost propagator in linear covariant gauges, and present preliminary numerical results.
Open AccessLattice Computation of the Ghost Propagator in Linear Covariant Gauges
We discuss the subtleties concerning the lattice computation of the ghost propagator in linear covariant gauges, and present preliminary numerical results.
- Open Access
- 28 November 2018
- Published by American Physical Society (APS) in Physical Review D
- Vol. 98 (9) , 091504
Faddeev-Popov matrix in linear covariant gauge: First results
We discuss a possible definition of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present first results for the ghost propagator. We consider Yang-Mills theory in four space-time dimensions, for SU(2) and SU(3) gauge groups.
- 28 November 2018
- Published by American Physical Society (APS) in Physical Review D
- Vol. 98 (9) , 091504
Open AccessFaddeev-Popov matrix in linear covariant gauge: First results
We discuss a possible definition of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present first results for the ghost propagator. We consider Yang-Mills theory in four space-time dimensions, for SU(2) and SU(3) gauge groups.
- Open Access
Lattice Gluon Propagator and One-Gluon-Exchange Potential
We consider the interquark potential in the one-gluon-exchange (OGE) approximation, using a fully nonperturbative gluon propagator from large-volume lattice simulations. The resulting VLGP potential is non-confining, showing that the OGE approximation is not sufficient to describe the infrared sector of QCD. Nevertheless, it represents an improvement over the perturbative (Coulomb-like) potential, since it allows the description of a few low-lying bound states of charmonium and bottomonium. In order to achieve a better description of these spectra, we add to VLGP a linearly growing term. The obtained results are comparable to the corresponding ones in the Cornell-potential case. As a byproduct of our study, we estimate the interquark distance for the considered charmonium and bottomonium states.
Open AccessLattice Gluon Propagator and One-Gluon-Exchange Potential
We consider the interquark potential in the one-gluon-exchange (OGE) approximation, using a fully nonperturbative gluon propagator from large-volume lattice simulations. The resulting VLGP potential is non-confining, showing that the OGE approximation is not sufficient to describe the infrared sector of QCD. Nevertheless, it represents an improvement over the perturbative (Coulomb-like) potential, since it allows the description of a few low-lying bound states of charmonium and bottomonium. In order to achieve a better description of these spectra, we add to VLGP a linearly growing term. The obtained results are comparable to the corresponding ones in the Cornell-potential case. As a byproduct of our study, we estimate the interquark distance for the considered charmonium and bottomonium states.
- Open Access
- 1 March 2017
- Published by Sissa Medialab Srl
- Vol. 256, 393
Long-Distance Properties of Landau Gluon and Ghost Propagators and Deconfinement
We investigate numerically the long-distance properties of gluon and ghost propagators in Landau gauge on the lattice, for the SU(2) case. By considering electric and magnetic gluon propagators at nonzero temperature, we extract Debye screening masses and look for signs of deconfinement around the critical temperature. Our results are related to the zero-temperature behavior of infrared propagators for comparison.
- 1 March 2017
- Published by Sissa Medialab Srl
- Vol. 256, 393
Open AccessLong-Distance Properties of Landau Gluon and Ghost Propagators and Deconfinement
We investigate numerically the long-distance properties of gluon and ghost propagators in Landau gauge on the lattice, for the SU(2) case. By considering electric and magnetic gluon propagators at nonzero temperature, we extract Debye screening masses and look for signs of deconfinement around the critical temperature. Our results are related to the zero-temperature behavior of infrared propagators for comparison.