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The formulation of QCD which contains no divergences and no renormalization procedure is presented. It contains both perturbative and non-perturbative phenomena. It is shown that, due to its asymptotically free nature, the theory is not…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Gribov

This is the second of the two last papers by V. N. Gribov concluding his 20 year long study of the problem of quark confinement in QCD. In this paper the analytic structure of quark and gluon Green's functions is investigated in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. N. Gribov

Some years ago Gribov developed the so-called supercritical light quark confinement scenario. Based on physical arguments he conjectured a drastic change in the analytical properties of the quark propagator when the back-reaction of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Christian S. Fischer , Dominik Nickel , Richard Williams

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian S. Fischer

Using a system of the corresponding Schwinger-Dyson equations of motion, a pure dynamical theory of quark confinement and spontaneous breakdown of chiral symmetry is formulated. It is based on dominated in the QCD vacuum self-interaction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

Quark confinement is proposed to be a dual Meissner effect of nonAbelian kind. Important hints come from physics of strongly-coupled infrared-fixed-point theories in N=2 supersymmetric QCD, which turn into confining vacua under a small…

High Energy Physics - Theory · Physics 2017-04-05 Kenichi Konishi

We have investigated a closed system of equations for the quark propagator, obtained earlier within our general approach to QCD at low energies. It implies quark confinement (the quark propagator has no pole, indeed), as well as the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogokhia

We have investigated a closed set of equations for the quark propagator, which has been obtained earlier within a new, nonperturbative approach to two-dimencional covariant gauge QCD. It is shown that this theory implies quark confinement…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Gogohia , Gy. Kluge , I. Vargas de Usera

An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the…

Nuclear Theory · Physics 2008-11-26 C. D. Roberts

We investigate the order of the QCD chiral transition in the limit of vanishing bare up/down quark masses and variations of the bare strange-quark mass $0 \le m_{\mathrm{s}} \le \infty$. In this limit and due to universality long range…

High Energy Physics - Phenomenology · Physics 2024-01-15 Julian Bernhardt , Christian S. Fischer

We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It…

High Energy Physics - Phenomenology · Physics 2011-02-02 Jens Braun , Lisa M. Haas , Florian Marhauser , Jan M. Pawlowski

We study the relation between quark confinement and chiral symmetry breaking in QCD. Using lattice QCD formalism, we analytically express the various "confinement indicators", such as the Polyakov loop, its fluctuations, the Wilson loop,…

High Energy Physics - Lattice · Physics 2017-11-03 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

The structure of the hadron spectrum is discussed in connection with the main phenomena of nonperturbative QCD: confinement and chiral symmetry breaking (CSB). For the higher part of the spectrum ($M \ge 2 GeV$) spin and chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The Banks-Casher relation connects the quark condensate to a density of the…

High Energy Physics - Phenomenology · Physics 2016-12-28 L. Ya. Glozman

We study QCD with two flavours of colour-sextet quarks as a candidate walking-Technicolor theory. We simulate lattice QCD with two flavours of colour-sextet staggered quarks at finite temperatures to observe the scales of confinement and…

High Energy Physics - Lattice · Physics 2010-11-05 D. K. Sinclair , J. B. Kogut

We study the QCD phase diagram, in particular we study the critical points of the two main QCD phase transitions, confinement and chiral symmetry breaking. Confinement drives chiral symmetry breaking, and, due to the finite quark mass, at…

High Energy Physics - Phenomenology · Physics 2010-04-20 Pedro Bicudo

We study the QCD phase diagram, in particular we study the critical points of the two main QCD phase transitions, confinement and chiral symmetry breaking. Confinement drives chiral symmetry breaking, and, due to the finite quark mass, at…

High Energy Physics - Lattice · Physics 2011-03-01 P. Bicudo , M. Cardoso , N. Cardoso

We analytically study the relation between quark confinement and spontaneous chiral-symmetry breaking in QCD. In terms of the Dirac eigenmodes, we derive some formulae for the Polyakov loop, its fluctuations, and the string tension from the…

High Energy Physics - Theory · Physics 2017-04-05 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

To clarify the relation between confinement and chiral symmetry breaking in QCD, we consider a temporally odd-number lattice, with the temporal lattice size $N_t$ being odd. We here use an ordinary square lattice with the normal…

High Energy Physics - Lattice · Physics 2014-05-06 Hideo Suganuma , Takahiro M. Doi , Takumu Iritani

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…

High Energy Physics - Lattice · Physics 2014-01-20 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani
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