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Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective…

核理论 · 物理学 2009-10-31 B. -J. Schaefer , H. -J. Pirner

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

We draw an analogy between the deconfining transition in the 2+1 dimensional Georgi-Glashow model and the chiral phase transition in 3+1 dimensional QCD. Based on the detailed analysis of the former (hep-th/0010201) we suggest that the…

高能物理 - 唯象学 · 物理学 2009-11-07 Ian I. Kogan , Alex Kovner , Bayram Tekin

The so-called Columbia plot summarises the order of the QCD thermal transition as a function of the number of quark flavours and their masses. Recently, it was demonstrated that the first-order chiral transition region, as seen for $N_f \in…

高能物理 - 格点 · 物理学 2022-12-08 Alfredo D'Ambrosio , Owe Philipsen , Reinhold Kaiser

At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The Banks-Casher relation connects the quark condensate to a density of the…

高能物理 - 唯象学 · 物理学 2016-12-28 L. Ya. Glozman

By using the dressed Polyakov loop or dual chiral condensate as an equivalent order parameter of the deconfinement phase transition, we investigate the relation between the chiral and deconfinement phase transitions at finite temperature…

高能物理 - 唯象学 · 物理学 2017-08-23 Fukun Xu , Tamal K. Mukherjee , Huan Chen , Mei Huang

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass. We propose and calculate two novel estimators for the chiral transition…

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

高能物理 - 格点 · 物理学 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We discuss our recent results regarding chiral and $U(1)_A$ restoration, both from the formal point of view of QCD Ward Identities (WI) and from an Effective Theory analysis provided by $U(3)$ Chiral Perturbation Theory (ChPT) at finite…

高能物理 - 唯象学 · 物理学 2019-05-07 A. Gómez Nicola , J. Ruiz de Elvira , A. Vioque-Rodríguez , S. Ferreres-Solé

In the instanton models the chiral phase transition is driven by a transition from random instanton-antiinstanton liquid and correlated instanton-antiinstanton molecules. So far this phenomenon was studied by numerical simulations, while we…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Velkovsky , E. Shuryak

If the phase transition of $QCD$ at nonzero temperature is dominated by the (approximate) restoration of chiral symmetry, then the transition might be characterized using a gauged linear sigma model. Assuming that vector meson dominance…

高能物理 - 唯象学 · 物理学 2016-09-01 Robert D. Pisarski

We study the QCD equation of state and the chiral condensate using the hadron resonance gas model with repulsive mean-field interactions. We find that the repulsive interactions improve the agreement with the lattice results on the…

高能物理 - 唯象学 · 物理学 2024-06-04 Deeptak Biswas , Peter Petreczky , Sayantan Sharma

Studies of the QCD phase diagram must properly include nucleonic degrees of freedom and their thermodynamics in the range of baryon chemical potentials characteristic of nuclear matter. A useful framework for incorporating relevant nuclear…

高能物理 - 唯象学 · 物理学 2014-01-27 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

We study the two-flavor NJL model under the rotation and chiral chemical potential $\mu_{5}$. Firstly, the influence of chiral imbalance on the chiral phase transition in the $T_{pc}-\omega$ plane is investigated. Research manifests that as…

高能物理 - 唯象学 · 物理学 2025-02-11 Yang Hua , Sheng-Qin Feng

We present numerical results for the location of the chiral critical line at finite temperature and zero and non-zero baryon density for QCD with N_f=2+1 flavours of staggered fermions on lattices with temporal extent N_t=4. For degenerate…

高能物理 - 格点 · 物理学 2010-10-27 Philippe de Forcrand , Owe Philipsen

I discuss recent work done with Gerry Brown on chiral phase transition at high temperature and/or density described in terms of Georgi's vector limit. The notion of ``mended symmetry" is suggested to play an important role in understanding…

高能物理 - 唯象学 · 物理学 2016-09-01 Mannque Rho

We present updated studies on the chiral phase transition in $N_{f}=2+1$ QCD. Simulations have been carried out using Highly Improved Staggered Quarks (HISQ) on lattices with temporal extent $N_{\tau} = 6$ at vanishing baryon chemical…

高能物理 - 格点 · 物理学 2017-02-07 Sheng-Tai Li , Heng-Tong Ding

The $U(1)_A$ symmetry of the massless QCD Lagrangian is explicitly broken in the quantised theory by the anomaly. It may be effectively restored at some finite temperature, which would have important consequences for the order of the chiral…

高能物理 - 格点 · 物理学 2026-01-30 Ryan Bignell , Gert Aarts , Chris Allton , Benjamin Jäger , Seyong Kim , Jon-Ivar Skullerud , Antonio Smecca

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…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

A major contribution to the uncertainty of finite-order perturbative QCD predictions is the perceived ambiguity in setting the renormalization scale $\mu_r$. For example, by using the conventional way of setting $\mu_r \in [m_t/2,2m_t]$,…

高能物理 - 唯象学 · 物理学 2013-05-22 Stanley J. Brodsky , Xing-Gang Wu
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