Instanton liquid properties from lattice QCD

Abstract

We examined the instanton contribution to the QCD configurations generated from lattice QCD for $N_F=0$, $N_F=2+1$ and $N_F=2+1+1$ dynamical quark flavors from two different and complementary approaches. First via the use of Gradient flow, we computed instanton liquid properties using an algorithm to localize instantons in the gauge field configurations and studied their evolution with flow time. Then, the analysis of the running at low momenta of gluon Green's functions serves as an independent confirmation of the instanton density which can also be derived without the use of the Gradient flow.

29 pages, 6 figures

References in corpus (11)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• On the zero crossing of the three-gluon vertex
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Infrared Gluon and Ghost Propagators
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "
• Anomalies, gauge field topology, and the lattice
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility

Cited by in corpus (12)

• Nonperturbative quark-antiquark interactions in mesonic form factors
• Mass sum rule of hadrons in the QCD instanton vacuum
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Large Effects from Small QCD Instantons: Making Soft Bombs at Hadron Colliders
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Collins-Soper Kernel in the QCD Instanton Vacuum
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Gauge and Scalar Fields on ${\mathbb{CP}}^2$: A Gauge-invariant Analysis II. The measure for gauge fields and a 4d WZW theory
• Gauge and Scalar Fields on ${\mathbb{CP}}^2$: A Gauge-invariant Analysis I. The effective action from chiral scalars
• Localization of topological charge density near $T_c$ in quenched QCD with Wilson flow
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions