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We propose a chiral random matrix model which properly incorporates the flavor-number dependence of the phase transition owing to the \UA(1) anomaly term. At finite temperature, the model shows the second-order phase transition with…

High Energy Physics - Phenomenology · Physics 2009-08-18 T. Sano , H. Fujii , M. Ohtani

Phase diagram of a chiral random matrix model with the degenerate ud quarks and the s quark at finite temperature and density is presented. The model exhibits a first-order transition at finite temperature for three massless flavors, owing…

High Energy Physics - Phenomenology · Physics 2010-04-06 H. Fujii , T. Sano

Phase diagram of the chiral random matrix model with U(1)A breaking term is studied with the quark chemical potentials varied independently at zero temperature, by taking the chiral and meson condensates as the order parameters. Although,…

High Energy Physics - Phenomenology · Physics 2011-02-02 H. Fujii , T. Sano

Based on the feature of chiral susceptibility and thermal susceptibility at finite temperature, the nature of chiral phase transition around the critical number of fermion flavors ($N_c$) and the critical temperature ($T_c$) at a fixed…

High Energy Physics - Phenomenology · Physics 2015-06-22 Hong-tao Feng , Jian-Feng Li , Yuan-mei Shi , Hong-shi Zong

Recent lattice evidence suggests the chiral phase transition in QCD is second-order for $N_f \ge 2$ massless flavors. We constrain CFT descriptions of a critical line in temperature $T$ and imaginary baryon chemical potential $\theta_B =…

High Energy Physics - Theory · Physics 2026-04-16 Shi Chen , Aleksey Cherman , Robert D. Pisarski

The chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been…

High Energy Physics - Lattice · Physics 2013-11-05 Claudio Bonati , Massimo D'Elia , Philippe de Forcrand , Owe Philipsen , Francesco Sanfillippo

Chiral phase transition for three-flavor $N_f=2+1$ QCD with $m_u=m_d\neq m_s$ is investigated in a modified soft-wall holographic QCD model. Solving temperature dependent chiral condensates from equations of motion of the modified soft-wall…

High Energy Physics - Phenomenology · Physics 2017-03-08 Danning Li , Mei Huang

The order of the thermal transition in the chiral limit of QCD with two dynamical flavours of quarks is a long-standing issue. Still, it is not definitely known whether the transition is of first or second order in the continuum limit.…

High Energy Physics - Lattice · Physics 2015-09-01 Owe Philipsen , Christopher Pinke

We determine the second order endpoint of the line of first order phase transitions, which occur in the light quark mass regime of 3-flavour QCD at finite temperature, and analyze universal properties of this chiral critical point. A…

High Energy Physics - Lattice · Physics 2009-11-07 F. Karsch , E. Laermann , Ch. Schmidt

For one flavour, we observe that standard chiral random matrix models are schematic variants of the Nambu-Jona-Lasinio (NJL) models whether in vacuum or matter. The ensuing thermodynamics is that of constituent quarks, with mean-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 Romuald Janik , Maciek Nowak , Ismail Zahed

Within the proper-time renormalization group approach, the chiral phase diagram of a two-flavor quark-meson model is studied. In the chiral limit, the location of the tricritical point which is linked to a Gaussian fixed point, is…

Nuclear Theory · Physics 2009-11-10 Bernd-Jochen Schaefer , Jochen Wambach

Attempts to extract the order of the chiral transition of QCD at zero chemical potential, with two dynamical flavors of massless quarks, from simulations with progressively decreasing pion mass have remained inconclusive because of their…

High Energy Physics - Lattice · Physics 2018-11-13 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We determine the second order endpoint of the line of first order phase transitions, which occur in the light quark mass regime of 3-flavour QCD at finite temperature, and analyze universal properties of this chiral critical point. A…

High Energy Physics - Lattice · Physics 2015-06-25 Ch. Schmidt , K. Karsch , E. Laermann

We calculate the renormalization group flows of all perturbatively renormalizable interactions in the three-dimensional Ginzburg-Landau potential for the chiral phase transition of three-flavor quantum chromodynamics. On the contrary to the…

High Energy Physics - Phenomenology · Physics 2022-05-03 G. Fejos

We investigate the order of the finite temperature chiral symmetry restoration transition for QCD with two massless fermions, by using a novel method, based on simulating imaginary values of the quark chemical potential…

High Energy Physics - Lattice · Physics 2014-10-30 Claudio Bonati , Philippe de Forcrand , Massimo D'Elia , Owe Philipsen , Francesco Sanfilippo

When the quark masses are lighter than those in QCD, the standard lore is that a chiral transition of first order must emerge for three, light flavors. Recently, however, numerical simulations on the lattice suggest that the chiral…

High Energy Physics - Phenomenology · Physics 2025-01-15 Francesco Giacosa , Győző Kovács , Péter Kovács , Robert D. Pisarski , Fabian Rennecke

The chiral phase transition of QCD is analyzed in a model combining random matrix elements of the Dirac operator with specially chosen non-random ones. The special form of the latter is motivated by the assumption that the fermionic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tilo Wettig , A. Schäfer , H. A. Weidenmüller

We study the phase diagram of a chiral random matrix model with three quark flavors at finite temperature and chemical potential, taking the chiral and diquark condensates as independent order parameters. Fixing the ratio of the coupling…

High Energy Physics - Phenomenology · Physics 2013-05-30 Takashi Sano , Kanako Yamazaki

We re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , Ph. de Forcrand , I. Hip , C. B. Lang , K. Splittorff

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
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