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We exploit a recent lattice investigation (UKQCD) on the topological structure of the (quenched) QCD vacuum, in order to gain information on crucial building blocks of instanton perturbation theory. A central motivation is to further…

High Energy Physics - Lattice · Physics 2009-10-31 A. Ringwald , F. Schrempp

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…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Velkovsky , E. Shuryak

Infinite sets of sum rules involving the excitations of infinite nuclear matter are derived using only completeness, the current algebra implicit in QCD, and relativistic covariance. The sum rules can be used for isospin-asymmetric nuclear…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , Wojciech Broniowski

Gaussian QCD sum-rules are used to analyze all possible two-point correlation functions of scalar gluonic and quark currents. The independent predictions of the masses and relative coupling strengths from the different correlators are…

High Energy Physics - Phenomenology · Physics 2013-04-04 T. G. Steele , D. Harnett , R. T. Kleiv , K. Moats

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

The QCD sum rules for spin-dependent nucleon-nucleon interactions are formulated and their physical implications are studied. The basic object of the study is the correlation function of the nucleon interpolating field, where the matrix…

Nuclear Theory · Physics 2009-10-31 Y. Kondo , O. Morimatsu

We perform a mutual analysis of the topological and chiral vacuum structure of four-dimensional QCD on the lattice at finite temperature. We demonstrate that at the places where instantons are present, amplified production of quark…

High Energy Physics - Lattice · Physics 2009-10-30 Markus Feurstein , Harald Markum , Stefan Thurner

In this review we will concentrate on the nonperturbative effects in the properties of hadrons made from the light-heavy and heavy-heavy quarks in the framework of Instanton Liquid Model (ILM) of QCD vacuum. We briefly discuss the main…

High Energy Physics - Phenomenology · Physics 2022-01-26 M. Musakhanov , U. Yakhshiev

The main subject of these lectures is the Nonperturbative Wave Functions. We describe some nonperturbative methods (like QCD sum rules, dispersion relations, duality etc) in order to study this object. We also consider some applications of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ariel Zhitnitsky

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

By matching the world of hadrons to that of some effective chiral quark theory, we determine the induced condensates for QCD sum rules in the presence of an external pion field. The observed values of the strong and weak $\pi NN$ coupling…

High Energy Physics - Phenomenology · Physics 2014-11-17 W-Y. P. Hwang

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.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gregory W. Carter , Dmitri Diakonov

The $1/N$ expansion of the weak coupling phase of two-dimensional QCD on a sphere is constructed. It is demonstrated that the phase transition from the weak to the strong coupling phase is induced by instantons. A double scaling limit of…

High Energy Physics - Theory · Physics 2009-10-28 David J. Gross , Andrei Matytsin

The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation…

High Energy Physics - Lattice · Physics 2007-05-23 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

Extraction of the nucleon's strange form factors from experimental data requires a quantitative understanding of the unavoidable contamination from isospin violation. A number of authors have addressed this issue during the past decade, and…

Nuclear Theory · Physics 2008-11-26 Randy Lewis

The quark condensate in nuclear matter contains a term of order $\rho m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Standard treatments of QCD sum rules for a nucleon in matter generate…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael C. Birse , Boris Krippa

Assuming the gluon field is well approximated by instanton configurations we derive a partition function and calculate the specific correlators. Namely, the heavy quark propagator and heavy quark-aniquark correlator with the account of the…

High Energy Physics - Phenomenology · Physics 2010-11-30 Yousuf Musakhanov

I review some aspects of the interplay between anomalies and chiral symmetry. The quantum anomaly that breaks the U(1) axial symmetry of massless QCD leaves behind a flavor-singlet discrete chiral invariance. When the mass is turned on this…

High Energy Physics - Phenomenology · Physics 2009-11-19 Michael Creutz

Gaussian sum-rules relate a QCD prediction to a two-parameter Gaussian-weighted integral of a hadronic spectral function, providing a clear conceptual connection to quark-hadron duality. In contrast to Laplace sum-rules, the Gaussian…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett , G. Orlandini

Two new QCD sum rules for nucleon tensor charge are derived from a mixed correlator of spin-1/2 and spin-3/2 nucleon interpolating fields. These sum rules are analyzed along with a sum rule obtained from the usual correlator of a general…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang