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We study confinement and chiral symmetry breaking phase transitions for QCD and supersymmetric QCD. The method is based on some justified assumption regarding the behavior of the Green function relevant for the potential between two charges…

高能物理 - 唯象学 · 物理学 2018-09-07 Renata Jora

Using lattice QCD we study the spectrum of low-lying fermion eigenmodes. According to the Banks-Casher relation, accumulation of the low-mode is responsible for the spontaneous breaking of chiral symmetry in the QCD vacuum. On the lattice…

高能物理 - 唯象学 · 物理学 2014-11-20 Shoji Hashimoto

A self-consistent holographic QCD model is proposed which can realize both chiral symmetry breaking and confinement, two most important phenomena of QCD. It is pointed out that the model can accommodate both Regge spectra of hadrons and the…

高能物理 - 理论 · 物理学 2013-11-08 Danning Li , Mei Huang , Qi-Shu Yan

The QCD phase transition is studied on $16^3$ and $32^3 \times 4$ lattices both with and without quark loops. We introduce a new zero-flavor or quenched species of quark $\zeta$ and study the resulting chiral condensate, $\azbz$ as a…

高能物理 - 格点 · 物理学 2009-10-28 Shailesh Chandrasekharan , Norman Christ

We discuss the construction and properties of an approximate solution of the Ginsparg-Wilson equation, the so-called chirally improved lattice Dirac operator. In particular we study the behavior of its eigenmodes in smooth instanton…

高能物理 - 格点 · 物理学 2008-11-26 Christof Gattringer , Meinulf Göckeler , C. B. Lang , P. E. L. Rakow , Stefan Schaefer , Andreas Schäfer

We study the problems of deconfinement, chiral symmetry restoration and localisation of the low Dirac eigenmodes in a toy model of QCD, namely unimproved staggered fermions on lattices of temporal extension $N_T=4$. This model displays a…

高能物理 - 格点 · 物理学 2017-03-08 Matteo Giordano , Sandor D. Katz , Tamas G. Kovacs , Ferenc Pittler

Confinement in Quantum Chromodynamics (QCD), binding quarks and gluons into hadrons, is characterized by a linear potential and the Wilson loop area law. We develop an analytical framework in $\text{SU(3)}$ gauge theory, proposing a hybrid…

高能物理 - 理论 · 物理学 2025-07-16 Fidele J. Twagirayezu

We investigate chiral and deconfinement transitions in the strong coupling lattice QCD for color SU(3). We combine the leading order Polyakov loop effective action of the strong coupling expansion and the next-to-next-to-leading order…

高能物理 - 格点 · 物理学 2010-10-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

I revue the so called Wilson loop approach to bound state problem in QCD. I shall show how using appropriate path integral representations for the quark propagator in an external field it is possible to obtain corresponding path integral…

高能物理 - 唯象学 · 物理学 2007-05-23 G. M. Prosperi

Recently a global SU(4) \supset SU(2)_L \times SU(2)_R \times U(1)_A symmetry of the confining Coulombic part of the QCD Hamiltonian has been discovered with N_F=2. This global symmetry includes both independent rotations of the left- and…

高能物理 - 唯象学 · 物理学 2016-05-26 L. Ya. Glozman

The aim of this work is to shed light on some lesser known aspects of Polyakov-loop--extended chiral models (namely the Polyakov-loop extended Nambu--Jona-Lasinio and Quark-Meson models), especially on the correlation of the quark sector…

高能物理 - 唯象学 · 物理学 2020-05-06 Hubert Hansen , Rainer Stiele , Pedro Costa

We reinvestigate constraints on the eigenvalue density of the Dirac operator in the chiral symmetric phase of 2 flavor QCD at finite temperature, employing the overlap Dirac operator with the exact chiral symmetry at finite lattice spacings…

高能物理 - 格点 · 物理学 2012-12-10 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for N_f>=2, on lattice volumes up to 50^3 and bare masses as low as ma=0.0000625. We compute the chiral condensate,…

高能物理 - 格点 · 物理学 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos

We study the effect of QCD-monopole condensation on the dynamical chiral-symmetry breaking by using the dual Ginzburg-Landau theory of QCD. We formulate the Schwinger-Dyson equation and solve it numerically. The large enhancement is found…

高能物理 - 唯象学 · 物理学 2007-05-23 Shoichi Sasaki , Hideo Suganuma , Hiroshi Toki

We formulate the covariant equations for quark-antiquark bound states in Minkowski space in the framework of the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between…

高能物理 - 唯象学 · 物理学 2014-01-09 Elmar P. Biernat , Franz Gross , M. T. Peña , Alfred Stadler

It has recently been found that dynamics of pure glue QCD supports the low energy band of Dirac modes with local chiral properties qualitatively different from that of a bulk: while bulk modes suppress chirality relative to statistical…

高能物理 - 格点 · 物理学 2015-06-12 Andrei Alexandru , Ivan Horvath

We compute the chiral condensate in 2+1-flavor QCD through the spectrum of low-lying eigenmodes of Dirac operator. The number of eigenvalues of the Dirac operator is evaluated using a stochastic method with an eigenvalue filtering technique…

高能物理 - 格点 · 物理学 2016-08-22 Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-Ichi Noaki

In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

高能物理 - 格点 · 物理学 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

We investigate dynamical chiral symmetry breaking in vector-like gauge theories in $D$ dimensions with ($D-4$) compactified extra dimensions, based on the gap equation (Schwinger-Dyson equation) and the effective potential for the bulk…

高能物理 - 唯象学 · 物理学 2009-11-07 V. Gusynin , M. Hashimoto , M. Tanabashi , K. Yamawaki

We study a model Dyson-Schwinger equation for the quark propagator closed using an {\it Ansatz} for the gluon propagator of the form \mbox{$D(q) \sim q^2/[(q^2)^2 + b^4]$} and two {\it Ans\"{a}tze} for the quark-gluon vertex: the minimal…

高能物理 - 唯象学 · 物理学 2010-03-04 Frederick T. Hawes , Craig D. Roberts , Anthony G. Williams