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Related papers: Confinement studies in QCD with Dyson-Schwinger eq…

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We study the equilibrium thermodynamics of a simple, confining, DSE-model of 2-flavour QCD at finite temperature and chemical potential. The model has two phases: one characterised by confinement and dynamical chiral symmetry breaking; and…

Nuclear Theory · Physics 2010-03-04 D. Blaschke , C. D. Roberts , S. Schmidt

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

High Energy Physics - Phenomenology · Physics 2013-02-07 Leonard Fister , Jan M. Pawlowski

Quantum confinement is studied by numerically solving time-dependent Schr\"odinger equation. An imaginary-time evolution technique is employed in conjunction with the minimization of an expectation value, to reach the global minimum.…

Quantum Physics · Physics 2018-01-31 Amlan K. Roy

The front form Hamiltonian for quantum chromodynamics, reduced to an effective Hamiltonian acting only in the $q\bar q$ space, is solved approximately. After coordinate transformation to usual momentum space and Fourier transformation to…

High Energy Physics - Theory · Physics 2009-10-30 H. C. Pauli , J. Merkel

We review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with an introduction to the formalism and a discussion of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. Roberts , A. G. Williams

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

We discuss a model for the relativistic bound states of 3-quark baryons based on confining quantum chromoynamics (QCD) with general Yang-Mills symmetry. The model postulates that 3-quark states are formed by consecutive 2-body collisions.…

General Physics · Physics 2025-05-19 Jong-Ping Hsu , Leonardo Hsu

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 theory of the strong interactions, Quantum Chromodynamics (QCD), has been addressed by a variety of non-perturbative techniques over the decades since its introduction. We have investigated Hamiltonian formulations with different…

High Energy Physics - Theory · Physics 2007-05-23 J. P. Vary , T. J. Fields J. R. Spence , H. W. L. Naus , H. J. Pirner , K. S. Gupta

The expressions for dynamical masses of quarks in the chiral limit in QCD in a strong magnetic field are obtained. A low energy effective action for the corresponding Nambu-Goldstone bosons is derived and the values of their decay constants…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Miransky , I. A. Shovkovy

We clarify the conditions of the cosmic quantum chromodynamics (QCD) first-order phase transition in the early universe by carefully distinguishing the chiral and deconfinement phase transitions. While the chiral one with light quarks at…

High Energy Physics - Phenomenology · Physics 2024-05-02 Fei Gao , Sichun Sun , Graham White

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

Yang-Mills theories with a gauge group SU(N_c\=3)and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N_c=3. We show that, for N_c even and in the confinement phase, the…

High Energy Physics - Lattice · Physics 2014-11-20 Kurt Langfeld , Bjoern H. Wellegehausen , Andreas Wipf

Recent progress in modeling QCD for hadron physics through truncated Dyson-Schwinger equations is reviewed. Special emphasis is put upon comparison of dressed quark propagators and the dressed quark-gluon vertex with lattice-QCD results.

Nuclear Theory · Physics 2009-11-10 P. C. Tandy

Based on the Generalized Quantum Electrodynamics expression for the Podolsky propagator, which preserves gauge invariance for massive photons, we propose a model for the massive gluon propagator that reproduces well-known features of…

High Energy Physics - Phenomenology · Physics 2021-04-21 Bruno El-Bennich , G. E. R. Zambrano , Eduardo Rojas

We review applications of Dyson-Schwinger equations at nonzero temperature, T, and chemical potential, mu, touching topics such as: deconfinement and chiral symmetry restoration; the behaviour of bulk thermodynamic quantities; the…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts , Sebastian Schmidt

The standard approximations of the Dyson--Schwinger equation lead to complex singularities of the fermion propagator. In three-dimensional QED one can show that this phenomenon might be related to confinement: a confining potential leads to…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Maris

The center phase transition of QCD and of fundamentally charged scalar QCD at non-vanishing temperature is investigated within a Dyson-Schwinger approach. The temperature dependence of the scalar/quark propagator is studied with generalized…

High Energy Physics - Phenomenology · Physics 2012-12-19 Markus Hopfer , Mario Mitter , Bernd-Jochen Schaefer , Reinhard Alkofer

Prerequisites of confinement in the covariant and local description of QCD are reviewed. In particular, the Kugo-Ojima confinement criterion, the positivity violations of transverse gluon and quark states, and the conditions necessary to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Lorenz von Smekal , Peter Watson

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and f_\pi; the current quark masses are fitted to…

Nuclear Theory · Physics 2007-05-23 P. Maris
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