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The quark-antiquark pairing due to the four-fermion direct coupling induced by the instantons in QCD is studied in the framework of the functional integral method. The integral equations for the order parameters are derived. Several classes…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. V. Hieu , N. H. Son , N. V. Thanh , H. B. Thang

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

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

We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p,q) critical points our…

High Energy Physics - Theory · Physics 2016-11-23 V. Kazakov , I. Kostov

A new mechanism for single spin asymmetries in strong interaction is proposed. It is based on instanton-induced nonperturbative chromomagnetic quark-gluon interaction. We estimate the contribution of this interaction to single spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. I. Kochelev

QCD vacuum instantons induce very strong interactions between light quarks, which generate large dynamical light quark mass M for initially almost massless quarks and can bound these quarks to produce almost massless pions in accordance…

High Energy Physics - Phenomenology · Physics 2015-03-23 Mirzayusuf Musakhanov

In the Operator Product Expansion (OPE) of hard scattering amplitudes, the twist-3 operators describe local colored Lorentz forces acting on a quark, thereby providing a measure of the strength of the gluon fields. Its value is directly…

High Energy Physics - Phenomenology · Physics 2026-04-14 Wei-Yang Liu , Edward Shuryak , Ismail Zahed

A simple model for the instanton ensemble at finite temperature T is proposed, including ``random" and strongly correlated ``molecular" component. T-dependence of fermionic zero modes naturally leads to chiral symmetry restoration, without…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. -M. Ilgenfritz , E. V. Shuryak

We aim to show the effects of the magnetic monopoles and instantons in quantum chromodynamics (QCD) on observables; therefore, we introduce a monopole and anti-monopole pair in the QCD vacuum of a quenched SU(3) by applying the monopole…

High Energy Physics - Lattice · Physics 2021-03-23 Masayasu Hasegawa

The properties of the QCD partition function at finite chemical potential are studied within the instanton liquid model. It is shown that the density dependence of the quark-induced instanton-antiinstanton (I-A) interaction leads to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Rapp

We discuss an extension of the instanton-dyon liquid model that includes twisted light quarks in the fundamental representation with explicit $Z_{N_c}$ symmetry for the case with equal number of colors $N_c$ and flavors $N_f$. We map the…

High Energy Physics - Phenomenology · Physics 2016-11-23 Yizhuang Liu , Edward Shuryak , Ismail Zahed

In this paper we study the statistical mechanics of the instanton liquid in QCD. After introducing the partition function as well as the gauge field and quark induced interactions between instantons we describe a method to calculate the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Schaefer , E. V. Shuryak

An elementary introduction is presented to the study of hadron structure using lattice QCD. Following a brief review of relevant aspects of path integrals, the discrete lattice path integral is presented for gluon and quark fields and used…

High Energy Physics - Lattice · Physics 2007-05-23 J. W. Negele

The thermal and quark/baryon chemical potential dependences of quark condensate and masses of $\pi$- and $\sigma$-mesons are studied in the instanton model of the QCD vacuum in precritical region. The impact of phonon-like excitations of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Molodtsov , A. N. Sissakian , A. S. Sorin , G. M. Zinovjev

We calculate the vacuum expectation value of the dimension-5 "mixed" quark-gluon operator, $O_\sigma = \bar\psi (\lambda^a /2) \sigma_{\mu\nu} \psi F_{\mu\nu}^a$, in the instanton vacuum. Within the $1/N_c$--expansion the QCD operator is…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. V. Polyakov , C. Weiss

For the one-loop contribution to the QCD vacuum tunneling amplitude by quarks of generic mass value, we make use of a calculational scheme exploiting a large mass expansion together with a small mass expansion. The large mass expansion for…

High Energy Physics - Phenomenology · Physics 2009-10-31 O-Kab Kwon , Choonkyu Lee , Hyunsoo Min

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

High Energy Physics - Lattice · Physics 2015-03-17 Michael I. Buchoff

We investigate the magnetic susceptibility of the QCD vacuum with the $1/N_c$ corrections taken into account, based on the instanton vacuum. Starting from the instanton liquid model we derive the gauged light-quark partition function in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Klaus Goeke , Hyun-Chul Kim , M. M. Musakhanov , Marat Siddikov

We study isospin breaking instanton corrections to the operator product expansion of the nucleon correlation functions. After a comparison with quark model calculations based on the 't Hooft interaction, we examine the role of instantons in…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hilmar Forkel , Marina Nielsen

We study the properties of an instanton ensemble in three-flavor dense QCD which can be regarded as an instanton plasma weakly interacting by exchanging the eta' mesons. Based on this description, we explore the chiral phase transition…

High Energy Physics - Phenomenology · Physics 2010-04-21 Naoki Yamamoto