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A new class of exact quantum solutions of QCD is presented. These solutions have negative energy and are stable to all fluctuations. The lowest-energy solution state is explicitly constructed and proposed as a candidate for the QCD vacuum.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dr. Scott Chapman

We discuss two types of contributions to hadronic form factors in QCD: hard gluon exchange and soft wave function overlap. Within the QCD sum rule approach, the hard contribution has strong numeric suppression by factor (\alpha_s/\pi) ~ 0.1…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting…

High Energy Physics - Phenomenology · Physics 2022-06-16 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

We present an extension of the QCD sum rule method in the external fields so as to determine the induced pseudoscalar coupling constant g_P, which tests the validity of the partially conserved axial current (PCAC) hypothesis. This is…

Nuclear Theory · Physics 2010-04-19 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

It has recently been suggested \cite{Chang:2006bm} that a reliable and unambiguous definition of the non-perturbative massive quark condensate could be provided by considering a non positive-definite class of solutions to the Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Williams , C. S. Fischer , M. R. Pennington

The decay constants of the charmed heavy pseudoscalar D and D_s mesons are revisited within a recently developed novel approach to dispersive QCD sum rules which relies on an unprejudiced implementation of quark-hadron duality. The proposed…

High Energy Physics - Phenomenology · Physics 2012-05-31 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

It is demonstrated, that chirality violating condensates in massless QCD arise entirely from zero mode solutions of Dirac equations in arbitrary gluon fields. The model is suggested, where the zero mode solutions are the ones for quarks,…

High Energy Physics - Phenomenology · Physics 2015-05-14 B. L. Ioffe

Different representations of an effective, covariant theory of the hadronic interaction are examined. For this purpose we have introduced nucleon-meson vertices parametrized in terms of scalar combinations of hadronic fields, extending the…

Nuclear Theory · Physics 2008-11-26 R. Aguirre

QCD sum rules for decay constants of heavy mesons with $u$ or $d$ quark yield for $B$ mesons much less isospin breaking than lattice QCD but good agreement for $D$ mesons.

High Energy Physics - Phenomenology · Physics 2016-12-06 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We derive thermal QCD sum rules for the correlation function of two vector currents in the rho-meson channel. It takes into account the leading non-perturbative corrections from the additional operators, which appear due to the breakdown of…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik , Krishnendu Mukherjee

These proceedings summarize a newly found connection between the factorial growth of coefficients in perturbative QCD and power corrections to the perturbation series, discussed in refs. [1-4]. The improved convergence is shown for three…

High Energy Physics - Phenomenology · Physics 2025-05-28 Andreas S. Kronfeld

We review progress on hadron structure using lattice QCD simulations at or near to physical values of the QCD parameters. In particular, we discuss recent results on hadron masses, the nucleon charges, spin, gluon and quark unpolarized…

High Energy Physics - Lattice · Physics 2015-12-15 Constantia Alexandrou

The one-loop NLO radiative corrections to the observables in polarized DIS using assumption that a quark is an essential massive particle are considered. If compared with classical QCD formulae the obtained results are identical for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. Akushevich , A. Ilyichev , N. Shumeiko

The basic form of the quark condensate for arbitrary values of external magnetic field and temperature, is derived using the field equations with account of confinement. The resulting expression of the chiral condensate is shown to be…

High Energy Physics - Phenomenology · Physics 2022-11-23 Yu. A. Simonov

The 1/$N_c$ arguments are developed to classify the hadronic states in the correlators. Arguments applied to the $\sigma$ meson correlator enable to separate the instanton, glueball, and, in particular, the $\pi\pi$ scattering states by…

High Energy Physics - Phenomenology · Physics 2009-01-14 Toru Kojo , Daisuke Jido

We consider a $[ud]^2\bar{s}$ current, in the finite-density QCD sum rule approach, to investigate the scalar and vector self-energies of the recently observed pentaquark state $\Theta^+(1540)$, propagating in nuclear mater. We find that,…

Nuclear Theory · Physics 2009-11-10 F. S. Navarra , M. Nielsen , K. Tsushima

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $\lambda_E$ and $\lambda_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive…

High Energy Physics - Phenomenology · Physics 2013-12-16 Tetsuo Nishikawa , Kazuhiro Tanaka

We include effects of nonlocal quark condensates into QCD sum rules (QSR) via the K$\ddot{\mathrm{a}}$ll$\acute{\mathrm{e}}$n-Lehmann representation for a dressed fermion propagator, in which a negative spectral density function manifests…

High Energy Physics - Phenomenology · Physics 2011-03-21 Ron-Chou Hsieh , Hsiang-nan Li

We determine the q-bar q condensate for quark masses from zero up to that of the strange quark within a phenomenologically successful modelling of continuum QCD by solving the quark Schwinger-Dyson equation. The existence of multiple…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Williams , C. S. Fischer , M. R. Pennington