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We review the theory and phenomenology of instantons in QCD. After a general overview, we provide a pedagogical introduction to semi-classical methods in quantum mechanics and field theory. The main part of the review summarizes our…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Schaefer , E. Shuryak

Heavy hadrons are analyzed in a random and dilute gas of instantons. We derive the instanton-induced interactions between heavy and light quarks at next to leading order in the heavy quark mass and in the planar approximation, and discuss…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Chernyshev , M. A. Nowak , I. Zahed

We argue that instantons play a crucial role in triggering the spontaneous breaking of chiral symmetry in the physics of the three light quarks in quantum chromodynamics. However, instantons may also play an essential role in our…

High Energy Physics - Phenomenology · Physics 2018-12-20 William A. Bardeen

It is shown that the contribution of the instantons to the fragmentation of quarks leads to the appearance of a imaginary part in diagrams of quark-quark scattering at large transfer momentum. The imaginary part comes from the analytical…

High Energy Physics - Phenomenology · Physics 2011-04-15 N. I. Kochelev

We discuss the role of instantons in the spectroscopy of ordinary and exotic hadrons as well as in high energy reactions. We argue that the instanton induced flavor- and spin-dependent quark-quark and quark-gluon interactions can explain…

High Energy Physics - Phenomenology · Physics 2008-10-06 N. I. Kochelev

We study the role of semi-classical QCD vacuum solutions in high energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions (``instanton ladder'') that…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dmitri E. Kharzeev , Yuri V. Kovchegov , Eugene Levin

QCD point-to-point correlation functions at distances .2-1 fm are very different for different channels, and they tell us a lot about inter-quark interactions. Recent studies based on experimental data, 'instanton liquid' approach and…

High Energy Physics - Lattice · Physics 2009-10-22 E. Shuryak

QCD instantons generate non-perturbative spin- and flavor- dependent forces between quarks. We review the results of a series of studies on instanton-induced correlations in hadrons. We first present some evidence for instanton-mediated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pietro Faccioli

A large body of evidence from lattice calculations indicates that instantons play a major role in the physics of light hadrons. This evidence is summarized, and recent results concerning the instanton content of the SU(3) vacuum, instanton…

High Energy Physics - Lattice · Physics 2009-10-31 John W. Negele

The instanton vacuum picture is used to study hadronic matrix elements of the twist-3 (dimension-4, spin-1) QCD operators measuring the quark spin density and spin-orbit correlations. The QCD operators are converted to effective operators…

High Energy Physics - Phenomenology · Physics 2023-10-27 June-Young Kim , Christian Weiss

QCD instantons are arguably the best motivated yet unobserved nonperturbative effects predicted by the Standard Model. A discovery and detailed study of instanton-generated processes at colliders would provide a new window into the…

High Energy Physics - Phenomenology · Physics 2021-05-04 Valentin V. Khoze , Daniel L. Milne , Michael Spannowsky

To elucidate the role played by instantons in chiral symmetry breaking, we explore their properties in full QCD, around the critical temperature. We study in particular spatial correlations between low-lying Dirac eigenmodes and instantons.…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , M. Garcia Perez , J. E. Hetrick , E. Laermann , J. F. Lagae , I. O. Stamatescu

This is the first of a sequence of papers that address the non-perturbative origin of the central, and spin-dependent forces between quarks. Its main thrust is a focus on meson spectroscopy in the center of mass frame. We suggest a "dense…

High Energy Physics - Phenomenology · Physics 2022-08-10 Edward Shuryak , Ismail Zahed

I address the question of how much of QCD in the chiral limit is reproduced by instantons. After reconstructing the instanton content of smoothed Monte Carlo lattice configurations, I compare hadron spectroscopy on this instanton ensemble…

High Energy Physics - Lattice · Physics 2009-10-31 Tamas G. Kovacs

Instanton liquid model being effective model of the QCD vacuum describes well the hadrons at low as well at intermediate energies. Thus, contact with perturbative QCD results is possible providing the unique information about the…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. E. Dorokhov

The instanton vacuum provides an effective description of chiral symmetry breaking by local topological fluctuations of the gauge fields, as observed in lattice QCD simulations. The resulting effective dynamics at momenta below $1/\bar\rho…

High Energy Physics - Phenomenology · Physics 2025-03-18 Christian Weiss

The QCD vacuum is populated by instantons that correspond to the tunneling processes in the vacuum. This mechanism creates the strong vacuum gluon fields. As result, the QCD vacuum instantons induce very strong interactions between light…

High Energy Physics - Phenomenology · Physics 2017-04-05 Mirzayusuf Musakhanov

The instanton size $\rho$ and inter-instanton distance $R$ are the main parameters of Instanton Liquid Model (ILM) of the QCD vacuum. Various estimates show that $\rho\approx1/3$ fm and $R\approx1$ fm, and the corresponding packing…

High Energy Physics - Phenomenology · Physics 2023-03-07 Mirzayusuf Musakhanov

We are discussing the properties of the QCD vacuum which might be important especially for the understanding of hadrons with small quark core size $\sim0.3\,fm.$ We assume that at these distances the QCD vacuum can be described by the…

High Energy Physics - Phenomenology · Physics 2018-08-29 Mirzayusuf Musakhanov

This is a review of the QCD instanton vacuum. After introducing instantons and their physical meaning, I show that the number of instantons in the vacuum fluctuates in accordance with the QCD trace anomaly. The main properties of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri Diakonov
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