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We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reaction effects of pions and the sigma onto…

High Energy Physics - Phenomenology · Physics 2013-05-29 Christian S. Fischer , Jens A. Mueller

We investigate the chiral phase transition at finite temperatures and zero chemical potential with Dyson-Schwinger equations. Our truncation for the quark-gluon interaction includes mesonic degrees of freedom, which allows us to study the…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. A. Mueller , C. S. Fischer

We investigate properties of the net baryon number fluctuations near chiral crossover in a hot and dense medium of strongly interacting quarks. The chirally invariant quark-antiquark interactions are modeled by an effective quark-meson…

High Energy Physics - Phenomenology · Physics 2015-04-29 Kenji Morita , Krzysztof Redlich

A brief introduction is given to the concept of the effective average action. Its dependence on the averaging or coarse graining scale is governed by an exact RG equation for which nonperturbative approximation schemes are described. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel

The chiral phase transition of the finite temperature QCD is discussed in the ladder approximated Exact (Wilson's) Renormalization Group (ERG). The gluon thermal mass is incorporated by the Hard Thermal Loop (HTL) approximation. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dai Shimizube , Jun-Ichi Sumi

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

We employ non-perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. This yields the temperature and quark mass dependence of quantities like the chiral condensate or the pion…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Berges

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

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 2021-10-28 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Christian Schmidt

We study the scaling properties of the finite temperature QCD phase transition, for light quark masses ranging from the heavy quark regime to their physical values. The lattice results are obtained in the fixed scale approach from…

High Energy Physics - Lattice · Physics 2021-11-03 A. Yu. Kotov , M. P. Lombardo , A. Trunin

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical…

We investigate the low-temperature phase of QCD and the crossover region with two light flavors of quarks. The chiral expansion around the point $(T, m_q = 0)$ in the temperature vs. quark-mass plane indicates that a sharp real-time…

High Energy Physics - Lattice · Physics 2014-10-23 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Daniel Robaina

In the framework of nonlocal SU(2) chiral quark models with Polyakov loop, we analyze the dependence of the deconfinement and chiral restoration critical temperatures on the explicit chiral symmetry breaking driven by the current quark…

High Energy Physics - Phenomenology · Physics 2013-05-30 V. Pagura , D. Gómez Dumm , N. N. Scoccola

We study the thermodynamic curvature, $R$, around the chiral phase transition at finite temperature and chemical potential, within the quark-meson model augmented with meson fluctuations. We study the effect of the fluctuations, pions and…

High Energy Physics - Phenomenology · Physics 2021-01-04 Paolo Castorina , Daniele Lanteri , Marco Ruggieri

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume varies in linear…

We calculate the critical exponents of the chiral phase transition at nonzero temperature using the thermal and chiral susceptibilities. We show that within a class of confining Dyson-Schwinger equation (DSE) models the transition is mean…

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

The finite temperature phase transition of strongly interacting matter is studied within a nonlocal chiral quark model of the NJL type coupled to a Polyakov loop. In contrast to previous investigations which were restricted to the…

High Energy Physics - Phenomenology · Physics 2008-12-18 D. Blaschke , M. Buballa , A. E. Radzhabov , M. K. Volkov

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo

We investigate the thermal QCD transition with two flavors of maximally twisted mass fermions for a set of pion masses, 300 MeV \textless $m_\pi$ \textless 500 MeV, and lattice spacings $a$ \textless 0.09 fm. We determine the…

High Energy Physics - Lattice · Physics 2013-05-15 F. Burger , E. -M. Ilgenfritz , M. Kirchner , M. P. Lombardo , M. Muller-Preussker , O. Philipsen , C. Pinke , C. Urbach , L. Zeidlewicz

The scaling behavior of the order parameter at the chiral phase transition, the so-called magnetic equation of state, of strongly interacting matter is studied within effective models. We explore universal and nonuniversal structures near…

High Energy Physics - Phenomenology · Physics 2017-02-01 Gabor Andras Almasi , Wojciech Tarnowski , Bengt Friman , Krzysztof Redlich
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