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Theoretical understanding of experimental results from relativistic heavy-ion collisions requires a microscopic approach to the behavior of QCD n-point functions at finite temperatures, as given by the hierarchy of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2008-12-18 D. Horvatic , D. Blaschke , D. Klabucar , A. E. Radzhabov

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

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

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

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

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to study quark deconfinement and meson states at finite temperature. The model is fixed at T=0 to implement quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , Yu. L. Kalinovsky , P. C. Tandy

Motivated by our earlier findings of sensitive quark-flavor dependence of QCD topological susceptibility on products of current quark masses and corresponding condensates, we allow the breaking of isospin symmetry. For the purpose of future…

High Energy Physics - Phenomenology · Physics 2021-02-03 Davor Horvatić , Dalibor Kekez , Dubravko Klabučar

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

After introducing essential, qualitative concepts and results, we discuss the application of Dyson-Schwinger equations to QCD at finite T and mu. We summarise the calculation of the critical exponents of two-light-flavour QCD using the…

Nuclear Theory · Physics 2010-03-04 David Blaschke , Craig D. Roberts

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

High Energy Physics - Phenomenology · Physics 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

We perform an exact computation of the grand partition function of a model of confined quarks at arbitrary temperatures and quark chemical potentials. The model is inspired by a version of QCD where the perturbative BRST symmetry is broken…

High Energy Physics - Phenomenology · Physics 2015-09-16 Bruno W. Mintz

In view of the properties of mesons in hot strongly interacting matter the properties of the solutions of the truncated Dyson-Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladder approximation are…

Nuclear Theory · Physics 2016-12-21 S. M. Dorkin , M. Viebach , L. P. Kaptari , B. Kampfer

We summarize recent results obtained in the Dyson-Schwinger formalism to study the chiral and deconfinement phase transitions of quenched and unquenched QCD at finite temperature and chemical potential. In the quenched case we compare SU(2)…

High Energy Physics - Phenomenology · Physics 2015-06-03 Jan Luecker , Christian S. Fischer

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body…

High Energy Physics - Phenomenology · Physics 2015-06-15 Carina Popovici

We investigate the properties of $qq$ and $q\bar q$ states in hot and dense quark matter in the framework of light-front finite temperature field theory. Presently we use the Nambu Jona-Lasinio model of QCD and derive the gap equation at…

Nuclear Theory · Physics 2014-11-18 S. Strauß , M. Beyer , S. Mattiello

We investigate the QCD chiral phase transition at finite chemical potential $\mu$, using the renormalization group (RG) to characterize the infrared behavior of sigma models constrained by the flavor and spacetime symmetries. The results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephen D. H. Hsu , Myckola Schwetz

We study the QCD equation of state and other thermodynamic observables including the isentropic trajectories and the speed of sound. These observables are of eminent importance for the understanding of experimental results in heavy ion…

High Energy Physics - Phenomenology · Physics 2023-10-31 Yi Lu , Fei Gao , Yu-Xin Liu , Jan M. Pawlowski

In this thesis the finite temperature transition between confined and deconfined matter is studied at zero and nonzero quark densities. The findings are relevant for the understanding of the evolution of the early Universe and contemporary…

High Energy Physics - Lattice · Physics 2011-04-20 Gergely Endrodi

We summarize recent results for the phase structure of QCD at finite temperature and light-quark chemical potential for N_f=2+1 and N_f=2+1+1 dynamical quark flavors. We discuss order parameters for the chiral and deconfinement transitions…

High Energy Physics - Phenomenology · Physics 2014-10-02 Christian S. Fischer , Jan Luecker , Christian A. Welzbacher

Models incorporating moderately heavy dark matter (DM) typically need charged (scalar) fields to establish admissible relic densities. Since the DM freezes out at an early epoch, thermal corrections to the cross sections can be important.…

High Energy Physics - Theory · Physics 2019-06-11 Pritam Sen , D. Indumathi , Debajyoti Choudhury
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