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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 analyze the interplay of topological objects in four-dimensional QCD on the lattice. The distributions of color magnetic monopoles in the maximum abelian gauge are computed around instantons in both pure and full QCD. We find an enhanced…

High Energy Physics - Lattice · Physics 2007-05-23 M. Feurstein , H. Markum , S. Thurner

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

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

We compute the effect of small-size instantons on the coefficient function of the chiral condensate in the operator product expansion of current-current correlators. Furthermore, we also compute the instanton corrections associated with…

High Energy Physics - Phenomenology · Physics 2009-10-28 Paolo Nason , Matteo Palassini

The correlation between instantons and QCD-monopoles is studied both in the lattice gauge theory and in the continuum theory. From a simple topological consideration, instantons are expected to live only around the QCD-monopole trajectory…

High Energy Physics - Phenomenology · Physics 2008-02-03 H. Suganuma , K. Itakura , H. Toki , O. Miyamura

To understand the relation between the chiral symmetry breaking and monopoles, the chiral condensate which is the order parameter of the chiral symmetry breaking is calculated in the $\overline{\mbox{MS}}$ scheme at 2 [GeV]. First, we add…

High Energy Physics - Lattice · Physics 2016-02-04 Adriano Di Giacomo , Masayasu Hasegawa , Fabrizio Pucci

Various QCD correlators are calculated in the instanton liquid model in zeromode approximation and $1/N_c$ expansion. Previous works are extended by including dynamical quark loops. In contrast to the original "perturbative" $1/N_c$…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcus Hutter

Monopole dominance for the nonperturbative features in QCD is studied both in the continuum and the lattice gauge theories. First, we study the dynamical chiral-symmetry breaking (D$\chi $SB) in the dual Higgs theory using the effective…

High Energy Physics - Phenomenology · Physics 2019-08-15 Hideo Suganuma , Sei Umisedo , Shoich Sasaki , Hiroshi Toki , Osamu Miyamura

Compact quantum electrodynamics (CQED$_3$) with Dirac fermionic matter provides an adequate framework for elucidating the universal low-energy physics of a wide variety of (2+1)D strongly correlated systems. Fractionalized states of matter…

Strongly Correlated Electrons · Physics 2021-07-20 G. Shankar , Joseph Maciejko

We calculate the contribution of the instanton -- anti-instanton ($I\bar I$) pairs to the vacuum energy of QCD-like theories with $N_f$ light fermions using the saddle point method. We find a qualitative change of the behavior: for $N_f \ge…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Velkovsky , E. Shuryak

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

We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD. To clarify the origin of abelian dominance for the long-range physics, we study the charged-gluon propagator in the lattice QCD, and…

High Energy Physics - Lattice · Physics 2008-11-26 Hideo Suganuma , Hiroko Ichie , Atsunori Tanaka , Kazuhisa Amemiya

We show that the instanton-induced inelastic processes, leading to multi-gluon production in in high-energy parton-parton scattering, are considerably enhanced over the quasi-elastic ones, by a factor of 100. The basic instanton-induced…

High Energy Physics - Phenomenology · Physics 2009-10-31 Maciek A. Nowak , Edward V. Shuryak , Ismail Zahed

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

In the framework of the instanton vacuum model we evaluate the Chiral Perturbation Theory (ChPT) low-energy constants h_3,l_7. We found that in the instanton vacuum model the constant l_7 is very sensitive to the shape of the instanton and…

High Energy Physics - Phenomenology · Physics 2010-04-14 K. Goeke , M. Musakhanov , M. Siddikov

The singlet coupling to the topological charge density in the instanton vacuum, causes the instantons and antiinstantons to be screened over distances of the order of 1/2 fm. Dilute instanton systems behave as a free gas, while dense…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Zahed

The relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ans\"atze for the dressed interaction and quark-gluon vertex. The…

High Energy Physics - Phenomenology · Physics 2019-05-29 Fernando E. Serna , Chen Chen , Bruno El-Bennich

We briefly review the key aspect of the QCD instanton vacuum in relation to the quantum breaking of conformal symmetry and the trace anomaly. We use Ji$^\prime s$ invariant mass decomposition of the energy momentum tensor together with the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Ismail Zahed

We perform a semi-classical study of chiral symmetry breaking and of the spectrum of the Dirac operator in QCD with adjoint fermions. For this purpose we calculate matrix elements of the adjoint Dirac operator between instanton zero modes…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Schaefer