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Equal time, point to point correlation functions for spatially separated meson currents are calculated with respect to a variational construct for the ground state of QCD. Given such an ansatz we make no further approximations in the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Varun Sheel , Hiranmaya Mishra , Jitendra C. Parikh

We examine a nonlocal interaction that results from expressing the QCD Hamiltonian entirely in terms of gauge-invariant quark and gluon fields. The interaction couples one quark color-charge density to another, much as electric charge…

High Energy Physics - Theory · Physics 2009-10-31 Lusheng Chen , Kurt Haller

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

We present a novel treatment for calculating the in-medium quark condensates. The advantage of this approach is that one does not need to make further assumptions on the derivatives of model parameters with respect to the quark current…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. X. Peng , U. Lombardo , M. Loewe , H. C. Chiang , P. Z. Ning

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move. This is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

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

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 study the properties of the hadron-hadron potentials and quark-antiquark potentials from the viewpoint of the channel coupling. We demonstrate that, for finite quark masses, the coupling to the two-hadron continuum induces the imaginary…

High Energy Physics - Phenomenology · Physics 2023-10-03 Ibuki Terashima , Tetsuo Hyodo

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

QCD gives definite predictions for hadron electromagnetic form factors in space-like and time-like momentum transfer regions, such as the quark counting rules, the hypothesis of hadron helicity conservation, and the relations between…

Nuclear Theory · Physics 2007-05-23 Egle Tomasi-Gustafsson , Michail P. Rekalo

We consider the procedure of determination of induced quark condensates in the QCD sum rule approach. It is noted that the previous estimations of this value were very rough. It is shown, that the detailed analyses of this parameter of QCD…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. M. Belyaev , A. Oganesian

The recent progress on unquenched QCD simulations is critically reviewed. After some discussions on problems and subtleties in unquenched simulations, hadron spectra obtained from both quenched and unquenched simulations are compared among…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki

We present non-perturbative first-principle results for quark-, gluon- and meson $1$PI correlation functions of two-flavour Landau-gauge QCD in the vacuum. These correlation functions carry the full information about the theory. They are…

High Energy Physics - Phenomenology · Physics 2018-03-14 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

In the $\epsilon$-domain of QCD we have obtained exact analytical expressions for the eigenvalue density of the Dirac operator at fixed $\theta \ne 0$ for both one and two flavors. These results made it possible to explain how the different…

High Energy Physics - Lattice · Physics 2018-07-31 Mario Kieburg , Jacobus Verbaarschot , Tilo Wettig

We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have…

High Energy Physics - Phenomenology · Physics 2008-11-26 Krishna Rajagopal

The topological susceptibility and the higher moments of the topological charge distribution in QCD are expressed through certain n-point functions of the scalar and pseudo-scalar quark densities at vanishing momenta, which are free of…

High Energy Physics - Theory · Physics 2009-11-10 Martin Lüscher

We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of…

High Energy Physics - Phenomenology · Physics 2019-04-09 Philipp Gubler , Daisuke Satow

With the use of the world-line formalism, the heavy-quark condensate in the SU(N)-QCD is evaluated for the cases when the next-to-1/r term in the quark-antiquark potential at short distances is either quadratic, or linear. In the former…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri Antonov

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave functional which includes the coupling of the quarks to the spatial gluons. The expectation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Davide Campagnari , Hugo Reinhardt

In quantum gravity perturbation theory in Newton's constant G is known to be badly divergent, and as a result not very useful. Nevertheless some of the most interesting phenomena in physics are often associated with non-analytic behavior in…

High Energy Physics - Theory · Physics 2019-03-19 Herbert W. Hamber