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The instanton interaction in QCD generates an effective potential for scalar quark-antiquark condensates in the color singlet and octet channels. For three light quark flavors the cubic term in this potential induces an octet condensate and…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Wetterich

It is shown in a systematic way that the instanton dilute model can be combined with the global colour symmetry model to form a new nonperturbative QCD model. Based on the quark propagator derived in the instanton dilute liquid…

High Energy Physics - Phenomenology · Physics 2016-08-16 Hongshi Zong , Xiaohua Wu , Xiaofu Lü , Chaohsi Chang , Engang Zhao

The predictive soft-wall AdS/QCD model with a modified 5D metric at the infrared region is constructed to obtain a non-trivial dilaton solution for three flavor quarks $u$, $d$ and $s$. Such a model is shown to incorporate both the chiral…

High Energy Physics - Phenomenology · Physics 2011-05-10 Yan-Qin Sui , Yue-Liang Wu , Yi-Bo Yang

The first order chiral phase transition for quark matter with flavor imbalance is studied using the Linear sigma model with quarks, also known as Quark-meson model. Special attention is paid to the role of the scalar isovector meson. The…

High Energy Physics - Phenomenology · Physics 2026-03-17 R. M. Aguirre

We propose a new way of understanding how chiral symmetry is realized in the high temperature phase of QCD. Based on the finding that a simple free instanton gas precisely describes the details of the lowest part of the spectrum of the…

High Energy Physics - Lattice · Physics 2024-05-24 Tamas G. Kovacs

We present a detailed study of a linear sigma model containing one chiral nonet transforming under U(1)$_A$ as a quark-antiquark composite and another chiral nonet transforming as a diquark-anti diquark composite (or, equivalently from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

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 argue that lattice calculations of the $\eta'$ mass in QCD with $N_c=2$ colors performed at non-zero baryon chemical potential can be used to study the mechanism responsible for the mass of the $\eta'$. QCD with two colors is an ideal…

High Energy Physics - Lattice · Physics 2009-11-07 Thomas Schaefer

We investigate effects of field theory instantons by considering D-instantons in a suitable D3-brane background. In supersymmetric QCD with SU(N_c) gauge group with N_f=N_c flavors, the moduli space of vacua is deformed by instantons. This…

High Energy Physics - Theory · Physics 2014-11-18 Yoshinori Matsuo , Jaemo Park , Cheol Ryou , Masayoshi Yamamoto

"Exotic quarks" in the title refers to a modification of quark periodicity condition on the thermal circle by introduction of some phases -- known also as "flavor holonomies" -- different quark flavors. These phases provide a valuable tool,…

High Energy Physics - Phenomenology · Physics 2016-11-15 Rasmus Larsen , Edward Shuryak

In QCD the spontaneous breaking of chiral symmetry and the U(1) axial anomaly can be understood considering instantons as the gauge configurations mediating quark-quark interaction. The existence of an exact zero mode solution of the Dirac…

High Energy Physics - Phenomenology · Physics 2013-05-29 Marco Cristoforetti

A generalization of the determinant appears in particle physics in effective Lagrangian interaction terms that model the chiral anomaly in Quantum Chromodynamics (PRD 97 (2018) 9, 091901 PRD 109 (2024) 7, L071502), in particular in…

Mathematical Physics · Physics 2025-10-03 Francesco Giacosa , Michał Zakrzewski , Shahriyar Jafarzade , Robert D. Pisarski

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

We discuss the spontaneous breakdown of chiral symmetry in Quantum Chromodynamics by considering gluonic instanton configurations in the partition function. It is shown that in order to obtain nontrivial fermionic correlators in a two…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen

Based on simulations of the interacting instanton liquid model (IILM) with three-flavor quarks, we compute the free energy density of the QCD vacuum as a function of the quark condensate. We then evaluate the second derivative of the free…

High Energy Physics - Phenomenology · Physics 2025-02-21 Yamato Suda , Daisuke Jido

The chiral constituent quark model ($\chi$CQM) has been extended to calculate the flavor structure of the nucleon through the meson-nucleon sigma terms which have large contributions from the quark sea and are greatly affected by chiral…

High Energy Physics - Phenomenology · Physics 2015-05-28 Harleen Dahiya , Neetika Sharma

In supersymmetric QCD with SU(N_c) gauge group and N_f flavors, it is known that instantons generate a superpotential if N_f=N_c-1 and deform the moduli space of vacua if N_f=N_c. But the role of instantons has been unclear for N_f>N_c. In…

High Energy Physics - Theory · Physics 2010-04-07 Chris Beasley , Edward Witten

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

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 Interacting Instanton Liquid Model is used to explore the role of instanton induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Cristoforetti , P. Faccioli , M. C. Traini , J. W. Negele