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The instanton approach to spontaneous chiral symmetry breaking is reviewed, with emphasis on the connection to chiral random matrix theory. We extend the approach to discuss the finite density, zero-temperature behaviour of quark matter.…

高能物理 - 唯象学 · 物理学 2007-05-23 Gregory W. Carter , Dmitri Diakonov

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…

高能物理 - 唯象学 · 物理学 2017-08-23 A. E. Dorokhov

Recently it was shown that in QCD-like theories with $N_f > N$, where $N_f$ is the number of light flavors and $N$ is the number of colors, there are correlation functions that vanish in perturbation theory and at short distances receive…

高能物理 - 唯象学 · 物理学 2015-10-13 Michael Dine , Patrick Draper , Guido Festuccia

In the instanton models the chiral phase transition is driven by a transition from random instanton-antiinstanton liquid and correlated instanton-antiinstanton molecules. So far this phenomenon was studied by numerical simulations, while we…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Velkovsky , E. Shuryak

We carry out a systematic study of $SU(6)$ Yang-Mills theory endowed with fermions in the adjoint and $3$-index antisymmetric mixed-representation. The fermion bilinear in the $3$-index antisymmetric representation vanishes identically,…

高能物理 - 理论 · 物理学 2020-01-08 Mohamed M. Anber

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…

高能物理 - 唯象学 · 物理学 2009-11-10 Pietro Faccioli

We compute the axial vector current, form factor, and coupling for quarks in the instanton liquid model with two light flavors. Non-local current corrections are derived, as required by the effective 't Hooft interaction. We obtain a…

高能物理 - 唯象学 · 物理学 2009-11-07 G. W. Carter

Paradigme shift in gauge topology, from instantons to their constituents -- instanton-dyons -- has recently lead to very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at sufficiently high…

核理论 · 物理学 2017-10-10 Edward Shuryak

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

高能物理 - 格点 · 物理学 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)_color times SU(3)_L times SU(3)_R symmetries are broken down to the diagonal subgroup SU(3)_{color+L+R} by…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Alford , K. Rajagopal , F. Wilczek

We combine the recently introduced Non-Abelian Quasi-Particle Model (NAQPM) for gluons with an ideal Fermi gas of three quark species with the aim to describe the equation of state (energy density vs. temperature) of $2+1$ - flavour…

高能物理 - 唯象学 · 物理学 2025-12-09 Eleftherios P. Politis , Antonis Tsapalis , Fotios K. Diakonos

We critically reconsider the argument based on 't Hooft anomaly matching that aims at proving chiral symmetry breaking in confining four-dimensional QCD-like theories with $N_c>2$ colors and $N_f$ flavors. The main line of reasoning relies…

高能物理 - 理论 · 物理学 2025-01-03 Luca Ciambriello , Roberto Contino , Andrea Luzio , Marcello Romano , Ling-Xiao Xu

In quantum chromodynamics (QCD), the role which topologically non-trivial configurations play in splitting the singlet pseudo-Goldstone meson, the $\eta^\prime$, from the octet is familiar. In addition, such configurations contribute to…

高能物理 - 唯象学 · 物理学 2020-07-01 Robert D. Pisarski , Fabian Rennecke

We discuss the role of an adjoint chiral condensate for color superconducting quark matter. Its presence leads to color-flavor locking in two-flavor quark matter. Color is broken completely as well as chiral symmetry in the two-flavor…

高能物理 - 唯象学 · 物理学 2010-02-04 J. Berges

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…

高能物理 - 唯象学 · 物理学 2025-02-21 Yamato Suda , Daisuke Jido

We study an interacting ensemble of instantons at finite baryon chemical potential. We emphasize the importance of fermionic zero modes and calculate the fermion induced interaction between instantons at non-zero chemical potential. We show…

高能物理 - 唯象学 · 物理学 2009-10-30 Thomas Schaefer

It is known since 1980's that the instanton-induced 't Hooft effective Lagrangian not only can solve the so called $U(1)a$ problem, by making the $\eta'$ meson heavy etc, but it can also lead to chiral symmetry breaking. In 1990's it was…

高能物理 - 唯象学 · 物理学 2017-08-16 Rasmus Larsen , Edward Shuryak

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

高能物理 - 理论 · 物理学 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

Chiral quark model with a broken-U(3) flavor symmetry can be interpreted as the effective theory of the instanton-dominated non-perturbative QCD. This naturally suggests the possibility of a negative singlet/octet coupling ratio, which has…

高能物理 - 唯象学 · 物理学 2009-10-31 T. P. Cheng , Ling-Fong Li

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…

高能物理 - 唯象学 · 物理学 2009-10-28 E. -M. Ilgenfritz , E. V. Shuryak