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Related papers: The 3-D O(4) universality class and the phase tran…

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We determine the critical equation of state of the three-dimensional O(N) universality class, for N=4, 5, 6, 32, 64. The N=4 is relevant for the chiral phase transition in QCD with two flavors, the N=5 model is relevant for the SO(5) theory…

High Energy Physics - Lattice · Physics 2007-05-23 Agostino Butti , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We determine the scaling equation of state of the three-dimensional O(N) universality class, for N=5, 6, 32, 64. The N=5 model is relevant for the SO(5) theory of high-T_c superconductivity, while the N=6 model is relevant for the chiral…

High Energy Physics - Lattice · Physics 2007-05-23 Agostino Butti , Francesco Parisen Toldin

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 employ nonperturbative 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 2016-09-06 J. Berges , D. -U. Jungnickel , C. Wetterich

In this work we have studied the QCD phase structure and critical dynamics related to the 3-$d$ $O(4)$ and $Z(2)$ symmetry universality classes in the two-flavor quark-meson low energy effective theory within the functional renormalization…

High Energy Physics - Phenomenology · Physics 2021-09-15 Yong-rui Chen , Rui Wen , Wei-jie Fu

We review the formalism of the effective average action in quantum field theory which corresponds to a coarse grained free energy in statistical mechanics. The associated exact renormalization group equation and possible nonperturbative…

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

We review the formalism of the effective average action in quantum field theory which corresponds to a coarse grained free energy in statistical mechanics. The associated exact renormalization group equation and possible nonperturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. _U. Jungnickel , C. Wetterich

We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of…

High Energy Physics - Lattice · Physics 2010-12-13 Christian Schmidt , Swagato Mukherjee

We calculate universal finite size scaling functions for the order parameter and the longitudinal susceptibility of the three-dimensional O(4) model. The phase transition of this model is supposed to be in the same universality class as the…

High Energy Physics - Lattice · Physics 2015-06-18 J. Engels , F. Karsch

We address the problem of determining the critical equation of state of three-dimensional XY systems. For this purpose we first consider the small-field expansion of the effective potential (Helmholtz free energy) in the high-temperature…

Statistical Mechanics · Physics 2011-07-19 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We present a phase diagram study of the O(4) model as an effective theory for 2-flavor QCD. In the chiral limit, both theories perform spontaneous symmetry breaking with isomorphic groups, which suggests that they belong to the same…

We study the curvature of the chiral transition/crossover line between the low-temperature hadronic phase and the high-temperature quark-gluon-plasma phase at low densities, performing simulations of two-flavor QCD with improved Wilson…

High Energy Physics - Lattice · Physics 2017-01-10 T. Umeda , S. Ejiri , R. Iwami , K. Kanaya , H. Ohno , A. Uji , N. Wakabayashi , S. Yoshida

We study the universal properties of the phase diagram of QCD near the critical point using the exact renormalization group. For two-flavour QCD and zero quark masses we derive the universal equation of state in the vicinity of the…

High Energy Physics - Theory · Physics 2009-11-10 N. Brouzakis , N. Tetradis

We employ non-perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. Our treatment covers both the chiral perturbation theory domain of validity and the domain of validity of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We discuss universal scaling properties of (2+1)-flavor QCD in the vicinity of the chiral phase transition at vanishing as well as non-vanishing light quark chemical potential (mu_l). We provide evidence for O(N) scaling of the chiral order…

High Energy Physics - Lattice · Physics 2011-03-10 Frithjof Karsch

Quantum chromodynamics with two zero-mass flavors is expected to exhibit a phase transition with O(4) critical behavior. Fixing the universality class is important for phenomenology and for facilitating the extrapolation of simulation data…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , C. DeTar , S. Gottlieb , U. M. Heller , J. Hetrick , K. Rummukainen , R. L. Sugar , D. Toussaint

We review the hot QCD transition with varying number of flavors, from two till the onset of the conformal window. We discuss the universality class for $N_f=2$, along the critical line for two massless light flavors, and a third flavor…

High Energy Physics - Lattice · Physics 2021-11-02 A. Yu. Kotov , M. P. Lombardo , A. Trunin

Quantum chromodynamics with two zero mass flavors is expected to exhibit a phase transition with O(4) critical behavior. Fixing the universality class is important for phenomenology and for facilitating the extrapolation of simulation data…

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

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
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