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The Schwinger-Dyson formalism is used to check the consistency of instanton model solutions for the quark propagator with recent models of confining gluon propagators. We find that the models are not consistent. A major discrepancy is the…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. S. Kisslinger , M. Aw , A. Harey , O. Linsuain

In the presence of the nontrivial QCD ground state or vacuum, nonlocal condensates are used to characterize the quark or gluon propagator, or other Green functions of higher order. In this paper, we wish to show that, by taking the large…

High Energy Physics - Phenomenology · Physics 2007-05-23 W-Y. P. Hwang

The operator-product expansion(OPE) could be employed to obtain the lowest-order, nonlocal quark scalar condensate component of gluon vacuum polarization. In particular, nonlocal quark scalar condensate can be calculated by solving…

High Energy Physics - Phenomenology · Physics 2022-06-15 Jing-Hui Huang , Xue-Ying Duan , Chen Huan , Guang-Jun Wang , Xiang-Yun Hu

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

High Energy Physics - Phenomenology · Physics 2017-10-11 Romain Contant , Markus Q. Huber

We present a new perspective on the nature of quark and gluon condensates in quantum chromodynamics. We suggest that the spatial support of QCD condensates is restricted to the interiors of hadrons, since these condensates arise due to the…

High Energy Physics - Theory · Physics 2014-11-03 Stanley J. Brodsky , Robert Shrock

We study, by numerical simulations on a lattice, the behaviour of the gauge-invariant nonlocal quark condensates in the QCD vacuum both in the quenched approximation and with four flavours of dynamical staggered fermions. The correlation…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , E. Meggiolaro

In quantum chromodynamics (QCD), the vacuum structures are taken to be formed by nonperturbative interactions between gluons. The contributions of gluonic interactions can be parametrized by gluon condensates and especially the dimension-2…

High Energy Physics - Theory · Physics 2015-04-02 Su Kyeong Lee , Eun-Joo Kim , Jong Bum Choi

The non-local vacuum condensates of QCD describe the distributions of quarks and gluons in the non-perturbative QCD vacuum. Physically, this means that vacuum quarks and gluons have nonzero mean-squared momentum, called virtuality. In this…

High Energy Physics - Phenomenology · Physics 2011-11-17 Li-Juan Zhou , Leonard S. Kisslinger , Wei-xing Ma

The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. J. Burden

There is a good deal of current interest in the condensate g^2A_\mu^aA_a^\mu> which has recently be shown to be the Landau gauge version of a more general gauge-invariant expression. In the present work we consider quark propagation in the…

Nuclear Theory · Physics 2011-01-25 Xiangdong Li , C. M. Shakin

A gauge invariant, non-local observable is constructed in lattice pure gauge theory, which is identical to the gluon propagator in a particular gauge. The transfer matrix formalism is used to show that this correlator decays exponentially…

High Energy Physics - Lattice · Physics 2009-11-07 Owe Philipsen

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these…

High Energy Physics - Theory · Physics 2017-09-21 Peter Lowdon

Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting…

Nuclear Theory · Physics 2009-10-28 Helmut Haberzettl

We investigate the phase structure of QCD at finite temperature and chemical potential by solving a coupled set of truncated Dyson-Schwinger equations for the quark and gluon propagator. In contrast to previous calculations we take into…

High Energy Physics - Phenomenology · Physics 2013-01-31 Christian S. Fischer , Jan Luecker

In this letter, we clarify the algebra expression for calculating the quark condensate based on the non-perturbative quark propagator calculated through Schwinger-Dyson equation. The quark condensates, which characterize the low energy QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. G. Wang , S. L. Wan

Based on the quark propagator in the instanton dilute liquid approximation, we calculate analytically the quark condensate $<\bar{q}q>$, the mixed quark gluon condensate $g_{s}<\bar{q}G_{\mu\nu}\sigma^{\mu\nu}q>$ and the four quark…

Nuclear Theory · Physics 2009-10-31 H. S. Zong , X. F. Lu , J. Z. Gu , C. H. Chang , E. G. Zhao

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 obtain the QCD quark condensate from consideration of unquenched quark dynamics in Dyson-Schwinger gluon vacuum. We consider the non-local extension of the condensate and determine the quark virtuality. We also obtain the…

High Energy Physics - Phenomenology · Physics 2009-12-12 A. V. Zayakin , V. Khandramai , J. Rafelski

The nonperturbative vacuum structure which emerges from the zero modes enhancement (ZME) model of the true QCD vacuum, appears to be well suited to describe quark confinement, dynamical chiral symmetry breaking (DCSB), current-effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia , Gy. Kluge , M. Prisznyák

The role of neutrality constraints for the phase structure of QCD at non-vanishing chemical potentials is studied within a self-consistent truncation scheme for the Dyson-Schwinger equation of the quark propagator in Landau gauge. We find…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dominik Nickel , Reinhard Alkofer , Jochen Wambach
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