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We analyze the quark mass and flavour dependence of the QCD phase transition temperature. When the lightest pseudo-scalar meson mass (m_PS) is larger than 2 GeV the critical temperature is controlled by the gluonic sector of QCD alone. For…

High Energy Physics - Lattice · Physics 2008-11-26 F. Karsch , E. Laermann , A. Peikert

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior is an inherently non-equilibrium model studied some time ago…

Statistical Mechanics · Physics 2022-02-16 Peter Grassberger

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

Universality classes encompass the analogous thermodynamic behavior of unlike physical systems, at different spatial dimensions $d$, in the vicinity of their critical point. Critical exponents define these classes, with the Ising model…

Statistical Mechanics · Physics 2026-02-06 D. Olascoaga-Rodríguez , F. Sastre , V. Romero-Rochín

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

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

We use chiral perturbation theory for SU(2) to compute the leading corrections to the thermal mass of the pions and the pion decay constant in the presence of the magnetic field in a low-temperature expansion. The magnetic field gives rise…

High Energy Physics - Phenomenology · Physics 2012-08-02 Jens O. Andersen

A critical point of second order, belonging to the universality class of the 3d Ising model, has recently been advocated as a strong candidate for the critical behaviour (at high temperatures) of QCD with non-zero quark masses. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos

In this paper, we study in details the critical behavior of the ${\cal O}(n)$ quantum $\phi^4$ model with long-range interaction decaying with the distances r by a power law as $r^{-d-\sigma}$ in the large n-limit. The zero-temperature…

Statistical Mechanics · Physics 2008-11-26 Hassan Chamati , Nicholay S. Tonchev

Fits of pion-nucleus potentials to large sets of pionic atom data reveal departures of parameter values from the corresponding free $\pi N$ parameters. These medium effects can be quantitatively reproduced by a chiral-motivated model where…

Nuclear Theory · Physics 2007-05-23 E. Friedman

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

We investigate the thermal QCD phase transition and its scaling properties on the lattice. The simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at pion masses from physical up to heavy quark regime. We introduce a…

High Energy Physics - Lattice · Physics 2022-04-12 A. Yu. Kotov , M. P. Lombardo , A. Trunin

In-medium chiral perturbation theory is used to calculate the density dependence of the quark condensate $<\bar qq>$. The corrections beyond the linear density approximation are obtained by differentiating the interaction contributions to…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , P. de Homont , W. Weise

We investigate the extent of the critical scaling region of the chiral phase transition at finite chemical potential within the quark-meson (QM) model using the functional renormalization group (fRG) approach. By analyzing the scaling…

High Energy Physics - Phenomenology · Physics 2026-03-24 Shi Yin

In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Krishna Rajagopal

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

Statistical Mechanics · Physics 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

We make a thermal analysis of the light scalar susceptibilities using SU(3)-Chiral Perturbation Theory to one loop taking into account the QCD source of isospin breaking (IB), i.e corrections coming from $m_u\neq m_d$. The value of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 R. Torres Andres , A. Gomez Nicola

We describe the deconfining critical temperature dependence on the pion mass and on the isospin chemical potential in remarkably good agreement with lattice data. Our framework incorporates explicit dependence on quark masses, isospin and…

High Energy Physics - Phenomenology · Physics 2014-11-18 E. S. Fraga , L. F. Palhares , C. Villavicencio

We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

The mass dependence of the chiral phase transition is studied in the linear $SU(3)\times SU(3)$ sigma-model to leading order in a $1/N_f$-expansion, $N_f$ denoting the number of flavours. For realistic meson masses we find a smooth…

High Energy Physics - Phenomenology · Physics 2010-11-01 Hildegard Meyer-Ortmanns , Bernd-Jochen Schaefer

We study strongly coupled lattice QCD with $N$ colors of staggered fermions in 3+1 dimensions. While mean field theory describes the low temperature behavior of this theory at large $N$, it fails in the scaling region close to the finite…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Costas G. Strouthos