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In continuum QCD, nontrivial gauge topologies give rise to zero eigenvalues of the massless Dirac operator. In lattice QCD with Wilson fermions, these zero modes appear as exactly real eigenvalues of the Wilson-Dirac operator and hence as…

高能物理 - 格点 · 物理学 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , G. Hockney , H. Thacker

Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function $K(p^2)$ in an Ansatz-independent manner from the…

高能物理 - 唯象学 · 物理学 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

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…

高能物理 - 格点 · 物理学 2007-05-23 T. Blum , J. E. Hetrick , D. Toussaint

Exploiting the recent lattice results for the infrared gluon propagator with light dynamical quarks, we solve the gap equation for the quark propagator. We thus model the chiral symmetry breaking mechanism with increasing number of flavours…

高能物理 - 唯象学 · 物理学 2015-06-15 A. Bashir , A. Raya , J. Rodríguez-Quintero

Spontaneous breaking of chiral symmetry is investigated in the Hamiltonian approach to QCD in Coulomb gauge. The quark wave functional is determined by the variational principle using an ansatz which goes beyond the commonly used BCS-type…

高能物理 - 唯象学 · 物理学 2015-05-28 Markus Pak , Hugo Reinhardt

Lattice measurements of spatial distributions of the light quark bilinear densities in static mesons allow to test directly and in detail the wave functions of quark models. These distributions are gauge invariant quantities directly…

高能物理 - 唯象学 · 物理学 2013-05-29 Damir Becirevic , Emmanuel Chang , Alain Le Yaouanc Luis Oliver , Jean-Claude Raynal

We use a chiral random matrix model to investigate the effects of massive quarks on the distribution of eigenvalues of QCD inspired Dirac operators. Kalkreuter's lattice analysis of the spectrum of the massive (hermitean) Dirac operator for…

高能物理 - 唯象学 · 物理学 2009-10-28 Jerzy Jurkiewicz , Maciej A. Nowak , Ismail Zahed

We study the relation between quark confinement and spontaneous chiral-symmetry breaking directly in QCD. In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the…

高能物理 - 格点 · 物理学 2014-01-20 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

Using the overlap-Dirac eigenmodes, we study the spatial distribution of the chiral condensate around static color sources in lattice QCD. Between the color sources, there appears a color-flux tube, which leads a linear confining potential.…

高能物理 - 格点 · 物理学 2014-01-20 Takumi Iritani , Guido Cossu , Shoji Hashimoto

We study the interplay of quark number density and chiral symmetry in lattice QCD. We suggest that both are controlled by the eigenvalue spectrum of the fermionic propagator matrix, which shapes the pattern of zeros of the partition…

高能物理 - 格点 · 物理学 2007-05-23 M. -P. Lombardo

We propose a novel general approach to locality of lattice composite fields, which in case of QCD involves locality in both quark and gauge degrees of freedom. The method is applied to gauge operators based on the overlap Dirac matrix…

高能物理 - 格点 · 物理学 2017-02-08 Andrei Alexandru , Ivan Horváth

Temporal quark correlation functions are analyzed in quenched lattice QCD for two values of temperature above the critical temperature (Tc) for deconfinement, T=1.5Tc and 3Tc. A two-pole ansatz for the quark spectral function is used to…

高能物理 - 格点 · 物理学 2013-05-30 Olaf Kaczmarek , Frithjof Karsch , Masakiyo Kitazawa , Wolfgang Soeldner

In a system where chiral symmetry is spontaneously broken, the low energy eigenmodes of the continuum Dirac operator are extended. On the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes that affect…

高能物理 - 格点 · 物理学 2008-11-26 Anna Hasenfratz , Roland Hoffmann , Stefan Schaefer

We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical…

高能物理 - 格点 · 物理学 2016-05-18 Marco Cè , Leonardo Giusti , Stefan Schaefer

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…

高能物理 - 格点 · 物理学 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

Using the eigen-mode of the QCD Dirac operator $\Slash D=\gamma^\mu D^\mu$, we develop a manifestly gauge-covariant expansion and projection of the QCD operators such as the Wilson loop and the Polyakov loop. With this method, we perform a…

高能物理 - 格点 · 物理学 2013-01-15 Hideo Suganuma , Shinya Gongyo , Takumi Iritani

A model for the QCD vacuum based on a domainlike structured background gluon field with definite duality attributed to the domains has been shown elsewhere to give confinement of static quarks, a reasonable value for the topological…

高能物理 - 唯象学 · 物理学 2009-11-07 Alex C. Kalloniatis , Sergei N. Nedelko

We perform lattice simulations of two-flavor QCD using Neuberger's overlap fermion, with which the exact chiral symmetry is realized at finite lattice spacings. The epsilon-regime is reached by decreasing the light quark mass down to 3 MeV…

高能物理 - 格点 · 物理学 2008-11-26 JLQCD collaboration , H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , M. Okamoto , T. Onogi , N. Yamada

A new method for computing all elements of the lattice quark propagator is proposed. The method combines the spectral decomposition of the propagator, computing the lowest eigenmodes exactly, with noisy estimators which are 'diluted', i.e.…

高能物理 - 格点 · 物理学 2008-11-26 Justin Foley , K. Jimmy Juge , Alan O'Cais , Mike Peardon , Sinead M. Ryan , Jon-Ivar Skullerud

The electroweak symmetry breaking and origin of masses may be attributed to the breakdown of chiral symmetry due to a strong gauge dynamics. Among several candidates of such gauge systems, we focus on two-color QCD with $N_f=6$ massless…

高能物理 - 格点 · 物理学 2013-11-06 Masaaki Tomii , Masashi Hayakawa , Ken-Ichi Ishikawa , Shinji Takeda , Norikazu Yamada