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We investigate the chemical potential and baryon number density of the hadron-quark phase transition in neutron star matter. The hadron matter is described with relativistic mean field theory, and the quark matter is described with the…

Nuclear Theory · Physics 2019-09-04 Zhan Bai , Yu-xin Liu

In this paper we study the chiral phase transition of QCD at finite temperature and density by using the rank-2 confining separable gluon propagator model in the framework of Dyson-Schwinger Equations. The critical end point is located at…

High Energy Physics - Phenomenology · Physics 2016-11-02 Bin Wang , Zhu-Fang Cui , Wei-Min Sun , Hong-Shi Zong

Two examples of recent progress in applications of the Dyson-Schwinger equation (DSE) formalism are presented: (1) Strong coupling quantum electrodynamics in 4 dimensions (QED$_4$) is an often studied model, which is of interest both in its…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. T. Hawes , K. Kusaka , A. G. Williams

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

High Energy Physics - Phenomenology · Physics 2017-10-11 Romain Contant , Markus Q. Huber

Dyson-Schwinger equations provide a prominent approach to physics of strong interactions. To reproduce the hadronic phenomenology well, the Dyson-Schwinger approach in the rainbow-ladder approximation must employ an effective interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dalibor Kekez , Dubravko Klabucar

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

We undertake the challenging task to reveal the properties of dressed light-quarks in the space- and time-like regions. For that aim, we solved the Dyson-Schwinger equation (DSE) in Minkowski space for the quark propagator in a QCD inspired…

High Energy Physics - Phenomenology · Physics 2022-07-13 Dyana C. Duarte , Tobias Frederico , Wayne de Paula , Emanuel Ydrefors

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

Nuclear Theory · Physics 2022-10-19 J. I. Kapusta , T. Welle

We analyze the chiral phase transition with the help of the QCD gap equation. Various models for the effective interaction in rainbow truncation are contrasted with regard to the resulting chiral transition temperatures. In particular, we…

High Energy Physics - Phenomenology · Physics 2014-07-24 M. Blank , A. Krassnigg

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

We demonstrate that the restoration of chiral symmetry at finite-T in a class of confining Dyson-Schwinger equation (DSE) models of QCD is a mean field transition, and that an accurate determination of the critical exponents using the…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Pieter Maris , Craig D. Roberts

The phase structure of QCD remains an open fundamental problem of standard model physics. In particular at finite density, our knowledge is limited. Yet, numerous model studies point towards a rich and complex phase diagram at large…

High Energy Physics - Phenomenology · Physics 2025-10-14 Fabian Rennecke

Phase transition from hadronic matter to quark-gluon matter is discussed for various regimes of temperature and baryon number density. For small and medium densities, the phase transition is accurately described in the framework of the…

High Energy Physics - Phenomenology · Physics 2011-04-05 M. I. Krivoruchenko , D. K. Nadyozhin , T. L. Rasinkova , Yu. A. Simonov , M. A. Trusov , A. V. Yudin

This Dyson-Schwinger equation (DSE) aperc,u highlights recent applications to mesons. It reports features of, and results for, pseudoscalar and scalar bound-state residues in vacuum polarisations, and exhibits how a restoration of chiral…

Nuclear Theory · Physics 2008-11-26 M. S. Bhagwat , A. Holl , A. Krassnigg , C. D. Roberts

The possible occurrence of crystalline or inhomogeneous phases in the QCD phase diagram at large chemical potential has been under investigation for over thirty years. Such phases are present in models of QCD such as the Gross-Neveu model…

High Energy Physics - Phenomenology · Physics 2023-06-28 Theo F. Motta , Julian Bernhardt , Michael Buballa , Christian S. Fischer

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions. Herein I provide a…

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

We investigate the dressed quark-gluon vertex combining two established non-perturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Rojas , J. P. B. C. de Melo , B. El-Bennich , O. Oliveira , T. Frederico

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman , R. F. Wagenbrunn

The studies of Dyson-Schwinger Equations (DSEs) provide us with insights into nonperturbative phenomenon of quantum field theory. However, DSEs are essentially an infinite set of coupled Green's functions, it's necessary to decouple parts…

High Energy Physics - Phenomenology · Physics 2015-01-06 Wei Wei , Pei-lin Yin , Hong-shi Zong

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