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Related papers: Chiral Phase Transition from Non-Perturbative Flow…

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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

The SU(2)_L x SU(2)_R chiral quark model consisting of the (sigma,pi) meson multiplet and the constituent quarks propagating on the homogeneous background of a temporal gauge field is solved at finite temperature and quark baryon chemical…

High Energy Physics - Phenomenology · Physics 2010-09-28 G. Marko , Zs. Szep

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two massless (up and down) and one strange quark having its physical mass. We propose and calculate two novel estimators for the chiral…

High Energy Physics - Lattice · Physics 2020-09-07 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Lukas Mazur , Christian Schmidt

We show that melting the quark mass, the scalar $\sigma $ mass and the quark condensate leads uniquely to the quark-level SU(2) linear $\sigma $ model field theory. Upon thermalization, the chiral phase transition curve requires $T_c…

High Energy Physics - Theory · Physics 2014-11-18 M. D. Scadron , P. Zenczykowski

The nature of the QCD chiral phase transition in the limit of vanishing quark masses has remained elusive for a long time, since it cannot be simulated directly on the lattice and is strongly cutoff-dependent. We report on a comprehensive…

High Energy Physics - Lattice · Physics 2021-12-08 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We consider the chiral phase transition relevant for QCD matter at finite temperature but with vanishing baryon density. Presumably, the chiral phase transition is of second order for two-flavor QCD in the chiral limit. Near the transition…

High Energy Physics - Theory · Physics 2025-07-30 Yanyan Bu , Zexin Yang

In connection with massless two-flavour QCD, we analyse the chiral symmetry restoring phase transition using three distinct gluon-quark vertices and two different assumptions about the long-range part of the quark-quark interaction. In each…

Nuclear Theory · Physics 2014-08-29 Fei Gao , Si-Xue Qin , Yu-Xin Liu , Craig D. Roberts , Sebastian M. Schmidt

Using an effective strongly coupled lattice QCD Hamiltonian and Wilson fermions we calculate the equation of state for cold and dense quark matter by constructing an ansatz which exactly diagonalizes the Hamiltonian to second order in field…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yasuo Umino

A qualitative analysis of the chiral phase transition in QCD with two massless quarks and non--zero baryon density is performed. It is assumed that at zero baryonic density, \rho=0, the temperature phase transition is of the second order.…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. N. Chernodub , B. L. Ioffe

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite quark chemical potential $\mu$ in a constant magnetic background $B$. We determine the parameters of the…

High Energy Physics - Phenomenology · Physics 2017-10-24 Jens O. Andersen , Patrick Kneschke

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

We discuss a few, apparently different (but actually, tightly related) problems: 1. The relation between QCD and valence quark model, 2. The asymptotic behavior of the nonperturbative pion wave function $\psi(\k, x)$ at $x\rightarrow 0,~1,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ariel Zhitnitsky

A qualitative analysis of the chiral phase transition in QCD at non--zero baryon density is performed. It is assumed that at zero baryonic density, $\rho=0$, the temperature phase transition is of the second order and quark condesate $\eta=…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

We present results of a first study of equation of state in finite-temperature QCD with two flavors of Wilson-type quarks. Simulations are made on lattices with temporal size $N_t=4$ and 6, using an RG-improved action for the gluon sector…

QCD equation of state is calculated in (2+1) flavor QCD at temperatures corresponding fermion action on lattices with temporal extent $N_{\tau}=8$. The results are compared with previous calculations performed at twice larger values of the…

High Energy Physics - Lattice · Physics 2010-11-05 P. Petreczky

We study the chiral phase transition with 2 + 1 quark flavors in an improved soft-wall AdS/QCD model, which can produce the light meson spectrum and many other low-energy quantities consistent with experiments in the two-flavor case. The…

High Energy Physics - Phenomenology · Physics 2018-12-12 Zhen Fang , Yue-Liang Wu , Lin Zhang

With proper profiles of the scalar potential and the dilaton field, for the first time, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature are correctly realized in the holographic QCD…

High Energy Physics - Phenomenology · Physics 2016-05-11 Kaddour Chelabi , Zhen Fang , Mei Huang , Danning Li , Yue-Liang Wu

We present recent results in three-flavor chiral perturbation theory at finite isospin $\mu_I$ and strangeness $\mu_s$ chemical potentials at zero temperature. The phase diagram to ${\cal O}(p^2)$ in the $\mu_I$--$\mu_S$ plane is mapped out…

High Energy Physics - Phenomenology · Physics 2025-02-11 Jens O. Andersen , Martin Kjøllesdal Johnsrud , Qing Yu , Hua Zhou

We present updated results on chiral phase structure in (2+1)-flavor ($N_f$=2+1) and 3-flavor ($N_f=3$) QCD based on the simulations using Highly Improved Staggered Quarks on lattices with temporal extent $N_\tau$ =6 at vanishing baryon…

High Energy Physics - Lattice · Physics 2019-08-14 Heng-Tong Ding , Prasad Hegde

We discuss the flavor dependence of the pressure and critical temperature calculated in QCD with 2, 2+1 and 3 flavors using improved gauge and staggered fermion actions on lattices with temporal extent Nt=4. For T > 2 Tc we find that bulk…

High Energy Physics - Lattice · Physics 2017-08-23 F. Karsch , E. Laermann , A. Peikert , Ch. Schmidt , S. Stickan