Instanton dominance over $\alpha_s$ at low momenta from lattice QCD simulations at $N_f=0$, $N_f=2+1$ and $N_f=2+1+1$

Autor: Savvas Zafeiropoulos, Feliciano de Soto, Andreas Athenodorou, Philippe Boucaud, Jose Rodríguez-Quintero
Přispěvatelé: Laboratoire de Physique Théorique d'Orsay [Orsay] ( LPT ), Université Paris-Sud - Paris 11 ( UP11 ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Physique Théorique d'Orsay [Orsay] (LPT), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Department of Physics, University of Cyprus, University of Cyprus (UCY), Institut d'électronique fondamentale (IEF), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Universidad de Huelva, Dip. di Fisica Applicada e, Ingenieria Electrica, Carretera Palos - La Radida s/n, 21819 Palos Fra (Huelva)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Instanton
Particle physics
QC1-999
High Energy Physics::Lattice
quark: domain wall
instanton: density
flow: Wilson
01 natural sciences
quark: flavor: 3
coupling constant: energy dependence
High Energy Physics - Lattice
quark: flavor: 4
fluctuation: quantum
0103 physical sciences
quantum chromodynamics
tree approximation
Gauge theory
correlation function
010306 general physics
numerical calculations
Topological quantum number
Quantum fluctuation
scale: quantum chromodynamics
[PHYS]Physics [physics]
Quantum chromodynamics
Physics
Landau gauge
010308 nuclear & particles physics
[PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat]
Computer Science::Information Retrieval
High Energy Physics::Phenomenology
lattice field theory
[ PHYS.HLAT ] Physics [physics]/High Energy Physics - Lattice [hep-lat]
Lattice QCD
Fermion
gluon
Gluon
quark: mass: twist
High Energy Physics - Phenomenology
[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
charge: topological
gauge field theory
[ PHYS.HPHE ] Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
momentum: low
instanton: liquid
Zdroj: EPJ Web Conf.
35th International Symposium on Lattice Field Theory
35th International Symposium on Lattice Field Theory, Jun 2017, Granada, Spain. EPJ Web Conf., 175, pp.12011, 2018, 〈10.1051/epjconf/201817512011〉
35th International Symposium on Lattice Field Theory, Jun 2017, Granada, Spain. pp.12011, ⟨10.1051/epjconf/201817512011⟩
EPJ Web of Conferences, Vol 175, p 12011 (2018)
EPJ Web of Conferences
EPJ Web of Conferences, EDP Sciences, 2018, 175, pp.12011. ⟨10.1051/epjconf/201817512011⟩
ISSN: 2100-014X
DOI: 10.1051/epjconf/201817512011〉
Popis: We report on an instanton-based analysis of the gluon Green functions in the Landau gauge for low momenta; in particular we use lattice results for $\alpha_s$ in the symmetric momentum subtraction scheme (${\rm MOM}$) for large-volume lattice simulations. We have exploited quenched gauge field configurations, $N_f=0$, with both Wilson and tree-level Symanzik improved actions, and unquenched ones with $N_f=2+1$ and $N_f=2+1+1$ dynamical flavors (domain wall and twisted-mass fermions, respectively). We show that the dominance of instanton correlations on the low-momenta gluon Green functions can be applied to the determination of phenomenological parameters of the instanton liquid and, eventually, to a determination of the lattice spacing. We furthermore apply the Gradient Flow to remove short-distance fluctuations. The Gradient Flow gets rid of the QCD scale, $\Lambda_{\rm QCD}$, and reveals that the instanton prediction extents to large momenta. For those gauge field configurations free of quantum fluctuations, the direct study of topological charge density shows the appearance of large-scale lumps that can be identified as instantons, giving access to a direct study of the instanton density and size distribution that is compatible with those extracted from the analysis of the Green functions.
Comment: Proceedings of the 35th International Symposium on Lattice Field Theory, Granada, Spain
Databáze: OpenAIRE
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