Article
Astronomy & Astrophysics
Philipp Isserstedt, Christian S. Fischer, Thorsten Steinert
Summary: The method presented allows for the computation of thermodynamic quantities within different models independent of the truncation method. It has been successfully applied in a Nambu-Jona-Lasinio model and in (2+1)-flavor quantum chromodynamics, although there are limitations to consider.
Article
Astronomy & Astrophysics
A. C. Aguilar, F. De Soto, M. N. Ferreira, J. Papavassiliou, J. Rodriguez-Quintero
Summary: This study presents novel lattice results for the form factors of the quenched three-gluon vertex of QCD, exploring their distinct infrared behaviors in different kinematic configurations. The findings are thoroughly analyzed within the Schwinger-Dyson framework, supported by special relations obtained from the Slavnov-Taylor identities of the theory. The lattice results confirm the emerging picture of the underlying dynamics both qualitatively and quantitatively.
Article
Astronomy & Astrophysics
F. Pinto-Gomez, F. De Soto, M. N. Ferreira, J. Papavassiliou, J. Rodriguez-Quintero
Summary: We present new results for the three-gluon vertex obtained from a large-scale lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex using a special tensorial basis, with form factors parametrized in terms of Bose-symmetric variables. Interestingly, the form factors primarily depend on a single kinematic variable, the sum of the squares of the three incoming four-momenta. This property, known as planar degeneracy, allows for a simplified and compact description of the data, suitable for future numerical applications. Confirming this property through a detailed study of specific configurations, we find that a semi-perturbative analysis accurately reproduces the lattice findings when a gluon mass is included to eliminate spurious divergences. (c) 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.
Article
Physics, Nuclear
Aftab Ahmad, Adnan Bashir, Marco A. Bedolla, J. J. Cobos-Martinez
Summary: The study explores dynamical chiral symmetry breaking for quarks in the fundamental representation of SU(N-c) for a specific number of light quark flavors. It also examines the phase diagram of quantum chromodynamics under various conditions, such as finite temperature and the presence of a constant external magnetic field. The results show that the model is able to predict phenomena such as deconfinement, chiral symmetry restoration, and magnetic catalysis, with the potential for inverse magnetic catalysis in certain scenarios.
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS
(2021)
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
Astronomy & Astrophysics
Yui Hayashi, Kei-Ichi Kondo
Summary: Complex singularities have been found in propagators of confined particles, and Minkowski propagators are rigorously reconstructed from Euclidean propagators with complex singularities. The analytically continued Wightman function remains holomorphic in the tube, maintaining Lorentz symmetry and locality, while the reconstructed Wightman function violates temperedness and positivity conditions. Additionally, it is argued that complex singularities correspond to confined zero-norm states in an indefinite metric state space.
Article
Astronomy & Astrophysics
A. C. Aguilar, F. De Soto, M. N. Ferreira, J. Papavassiliou, F. Pinto-Gomez, C. D. Roberts, J. Rodriguez-Quintero
Summary: Continuum and lattice analyses have discovered a mass-scale in the gluon two-point Schwinger function, indicating the presence of a Schwinger mechanism for gauge boson mass generation in quantum chromodynamics (QCD). By using numerical simulations of lattice-regularised QCD, the researchers established with high confidence the existence of a dynamically-generated, massless, colour-carrying, scalar gluon+gluon correlation, confirming the conjectured origin of the gluon mass scale.
Article
Multidisciplinary Sciences
Reinhard Alkofer
Summary: Dynamical chiral symmetry breaking (D & chi;SB) is an important concept in understanding hadron physics, particularly the generation of constituent quark masses. However, when considering higher n-point functions, the role of the quark-gluon vertex becomes more complex, as it both signals and drives D & chi;SB. Recent results suggest that D & chi;SB in QCD is located close to the critical point, making it a delicate effect.
Article
Astronomy & Astrophysics
Yui Hayashi, Kei-Ichi Kondo
Summary: This paper investigates formal aspects of propagators with complex singularities in reconstructing Minkowski propagators, finding that these propagators violate reflection positivity and positivity condition while maintaining Lorentz symmetry and locality. The results suggest that complex singularities can be related to confined states and may offer a new way of understanding confinement mechanisms, particularly in the Landau-gauge Yang-Mills theory.
Article
Physics, Nuclear
J. Papavassiliou
Summary: This article presents a comprehensive review of the key concepts associated with the Schwinger mechanism in QCD, highlighting the synergy between functional methods and lattice simulations and showcasing recent advances.
Article
Astronomy & Astrophysics
Lei Chang, Minghui Ding
Summary: It is found that the rainbow approximation is suitable for the gap equation, while the ladder approximation and modified-ladder approximation are effective truncation schemes for the Bethe-Salpeter equation. When studying the pion, it is observed that the pion mass and decay constant are equivalent in both the ladder and modified-ladder approximations, despite apparent differences in Bethe-Salpeter amplitudes. The justification for the modified-ladder approximation is examined using the Gell-Mann-Oakes-Renner relation.
Article
Computer Science, Interdisciplinary Applications
Daniel Puzzuoli, Sophia Fuhui Lin, Moein Malekakhlagh, Emily Pritchett, Benjamin Rosand, Christopher J. Wood
Summary: We develop general purpose algorithms for computing and utilizing both the Dyson series and Magnus expansion, with the goal of facilitating numerical perturbative studies of quantum dynamics. These algorithms are implemented in the open source software package Qiskit Dynamics, which utilizes the JAX array library to enable just-in-time compilation, automatic differentiation, and GPU execution of all computations. The Dyson and Magnus-based solvers provide a speedup over traditional ODE solvers when simulating a two-transmon entangling gate on a GPU.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Physics, Particles & Fields
Ali Shojaei-Fard
Summary: Using Feynman graphons as mathematical tools, a new statistical mechanical model is formulated to study the equilibrium states and observables associated with the solution space of quantum motions in a strongly coupled gauge field theory underlying the evolution of running coupling constants, time, and temperature.
Article
Astronomy & Astrophysics
Fabio Siringo, Giorgio Comitini
Summary: One-loop explicit expressions for the gluon Nielsen identity in the screened massive expansion formalism for Yang-Mills theory are derived. The gauge-parameter-independence of the poles and residues is discussed in both a strict perturbative context and extended resummation schemes. Although no exact formal proof was reached by the approximate resummation schemes, some evidence is gathered in favor of an exact invariance of the phase, consistent with previous numerical studies.
Article
Physics, Multidisciplinary
Herschel A. Chawdhry, Mathieu Pellen
Summary: In this work, quantum gates that simulate the color part of quark and gluon interactions in perturbative quantum chromodynamics (QCD) are presented. These gates are implemented on a simulated noiseless quantum computer to calculate color factors for Feynman diagrams. This work represents a crucial first step towards quantum simulation of generic scattering processes in perturbative QCD.
Article
Astronomy & Astrophysics
F. Pinto-Gomez, F. De Soto, M. N. Ferreira, J. Papavassiliou, J. Rodriguez-Quintero
Summary: We present new results for the three-gluon vertex obtained from a large-scale lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex using a special tensorial basis, with form factors parametrized in terms of Bose-symmetric variables. Interestingly, the form factors primarily depend on a single kinematic variable, the sum of the squares of the three incoming four-momenta. This property, known as planar degeneracy, allows for a simplified and compact description of the data, suitable for future numerical applications. Confirming this property through a detailed study of specific configurations, we find that a semi-perturbative analysis accurately reproduces the lattice findings when a gluon mass is included to eliminate spurious divergences. (c) 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.
Proceedings Paper
Physics, Multidisciplinary
Gabriel S. Rocha, Gabriel S. Denicol, Mauricio N. Ferreira, Jorge Noronha
Summary: In this study, a new formulation of the relaxation time approximation is used to accurately calculate the bulk and shear viscosity coefficients. This is achieved by utilizing QCD-inspired energy-dependent relaxation times and phenomenological thermal masses obtained from fits to lattice QCD thermodynamics. Conveniently chosen matching conditions are employed to simplify the computations.
ACTA PHYSICA POLONICA B PROCEEDINGS SUPPLEMENT
(2023)
Article
Astronomy & Astrophysics
A. C. Aguilar, F. De Soto, M. N. Ferreira, J. Papavassiliou, F. Pinto-Gomez, C. D. Roberts, J. Rodriguez-Quintero
Summary: Continuum and lattice analyses have discovered a mass-scale in the gluon two-point Schwinger function, indicating the presence of a Schwinger mechanism for gauge boson mass generation in quantum chromodynamics (QCD). By using numerical simulations of lattice-regularised QCD, the researchers established with high confidence the existence of a dynamically-generated, massless, colour-carrying, scalar gluon+gluon correlation, confirming the conjectured origin of the gluon mass scale.
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, Nuclear
T. Nunes da Silva, D. D. Chinellato, A. V. Giannini, J. Takahashi, M. N. Ferreira, G. S. Denicol, M. Hippert, J. Noronha, M. Luzum
Summary: By studying p-Pb collisions, this study finds that the effects of assuming a conformal evolution in the prehydrodynamical stage are even more important in smaller systems. The study also shows that this effect is dependent on the time duration of the pre-equilibrium stage, which is further enhanced in small systems. Additionally, the study demonstrates that a free-streaming assumption with subluminal velocity for the pre-equilibrium stage can alleviate the contamination of final-state observables.
Article
Physics, Nuclear
A. Giannini, M. N. Ferreira, M. Hippert, D. D. Chinellato, G. S. Denicol, M. Luzum, J. Noronha, T. Nunes da Silva, J. Takahashi
Summary: An outstanding problem in heavy-ion collisions is the inability of models to accurately describe ultracentral experimental flow data. Despite being in the regime where a hydrodynamic description should be most applicable, tension with experimental observation remains and worsens as one goes to ultracentral collisions. New elements are likely needed in the standard modeling of heavy-ion collisions.
Article
Physics, Particles & Fields
A. C. Aguilar, M. N. Ferreira, D. Ibanez, B. M. Oliveira, J. Papavassiliou
Summary: In this study, we show through explicit calculations that the same distinct realization of the Slavnov-Taylor identity persists in the case of the background three-gluon vertex. The analysis is carried out at the level of the exact Schwinger-Dyson equation for this vertex, without any truncations or simplifying assumptions. The final result is obtained through extensive cancellations, without the need for explicit integrations. Additionally, we highlight that background Ward identities can be obtained by replacing derivatives of propagators with zero-momentum background-gluon insertions, similar to standard properties of Abelian gauge theories. Finally, we briefly discuss potential applications of these results.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Physics, Particles & Fields
A. C. Aguilar, M. N. Ferreira, B. M. Oliveira, J. Papavassiliou
Summary: In this study, we investigate a special Schwinger-Dyson equation in the context of a pure SU(3) Yang-Mills theory using the background field method. We focus on the vertex that describes the interaction between two background gluons and a ghost-antighost pair. By exploiting the background gauge invariance, we find that this vertex satisfies a simple Slavnov-Taylor identity that is unaffected by the ghost sector. In the limit where all momenta vanish, we obtain the exact form of this vertex from the corresponding Ward identity. Moreover, we demonstrate that this special result can be reproduced using the Schwinger-Dyson equation, taking advantage of Taylor's theorem and the specific relations in the background field method. This information allows us to determine the truncation error associated with two different truncation schemes and assess the potential benefit of using lattice data for the ghost dressing function.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Particles & Fields
B. Acharya, J. Alexandre, P. Benes, B. Bergmann, S. Bertolucci, A. Bevan, R. Bhattacharyya, H. Branzas, P. Burian, M. Campbell, S. Cecchini, Y. M. Cho, M. de Montigny, A. De Roeck, J. R. Ellis, M. ElSawy, M. Fairbairn, D. Felea, M. Frank, J. Hays, A. M. Hirt, P. Q. Hung, J. Janecek, M. Kalliokoski, A. Korzenev, D. H. Lacarrere, C. Leroy, G. Levi, A. Lionti, A. Margiotta, R. Maselek, A. Maulik, N. Mauri, N. E. Mavromatos, E. Musumeci, M. Mieskolainen, L. Millward, V. A. Mitsou, R. Orava, I Ostrovskiy, P-P Ouimet, J. Papavassiliou, B. Parker, L. Patrizii, G. E. Pavalas, J. L. Pinfold, L. A. Popa, V Popa, M. Pozzato, S. Pospisil, A. Rajantie, R. Ruiz de Austri, Z. Sahnoun, M. Sakellariadou, K. Sakurai, A. Santra, S. Sarkar, G. Semenoff, A. Shaa, G. Sirri, K. Sliwa, R. Soluk, M. Spurio, M. Staelens, M. Suk, M. Tenti, V Togo, A. Upreti, V. Vento, O. Vives
Summary: This study presents a search for highly electrically charged objects and magnetic monopoles using data collected by the MoEDAL detector at the LHC. The results provide constraints on the properties of these objects, such as their mass and charge.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Astronomy & Astrophysics
A. C. Aguilar, M. N. Ferreira, J. Papavassiliou
Summary: This study presents a detailed derivation of the non-Abelian Ward identity obeyed by the pole-free part of the three-gluon vertex in the soft gluon limit, and determines the displacement that the onset of the Schwinger mechanism produces to the standard result. The results obtained through two independent methods are in excellent coincidence, providing a self-consistency check for the entire approach. The statistical significance of the resulting signal is estimated to be 3 standard deviations compared to the null hypothesis.
