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We calculate the pion decay constant near the critical temperature of the $O(N)$ nonlinear sigma model in the large $N$ limit. Making use of the known low temperature behavior, we construct a Pad\'{e} approximant to obtain the behavior of…

高能物理 - 唯象学 · 物理学 2009-10-28 Sangyong Jeon , Joseph Kapusta

The density corrections, in terms of the isospin chemical potential $\mu_I$, to the mass of the pions are studied in the framework of the SU(2) low energy effective chiral lagrangian. The pion decay constant $f_{\pi}(T, \mu_{I})$ is also…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Loewe , C. Villavicencio

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way…

高能物理 - 唯象学 · 物理学 2016-11-23 M. Ruggieri , G. X. Peng

Roy-equation analyses on lattice data of $\pi\pi$ scattering phase shifts at $m_\pi=391$MeV reveals that the lowest $f_0$ meson becomes a bound state under this condition. In addition, there is a pair of complex poles below threshold…

高能物理 - 唯象学 · 物理学 2024-05-22 Yuan-Lin Lyu , Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

We analize the role played by the thermal $f_0(500)$ state or $\sigma$ in chiral symmetry restoration. The temperature corrections to the spectral properties of that state are included in order to provide a better description of the scalar…

高能物理 - 唯象学 · 物理学 2020-02-04 Andrea Vioque-Rodríguez , Angel Gómez Nicola

We investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at finite temperature and density, on the basis of a quark model which incorporates the most relevant properties of QCD in this context: explicit and spontaneous…

高能物理 - 唯象学 · 物理学 2016-09-06 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

We use one-loop $\SU(2)_L\times \SU(2)_R$ chiral perturbation theory ($\SU(2)$ ChPT) to study the behaviour of the form-factors for semileptonic $K\to\pi$ decays with the pion mass at $q^2=0$ and at $q^2_{\textrm{max}}=(m_K-m_\pi)^2$, where…

高能物理 - 唯象学 · 物理学 2009-02-12 J. M. Flynn , C. T. Sachrajda

The quark-level linear sigma model is employed to compute a variety of electromagnetic and weak observables of light mesons, including pion and kaon form factors and charge radii, charged-pion polarizabilities, semileptonic weak $K_{\ell3}$…

高能物理 - 唯象学 · 物理学 2008-11-26 Michael D. Scadron , Frieder Kleefeld , George Rupp , Eef van Beveren

In mean field approximation, we study a chiral soliton of the linear sigma model with two flavors at finite temperature and density. The stable soliton solutions are calculated with some appropriate boundary conditions. Energy and radius of…

高能物理 - 唯象学 · 物理学 2013-09-06 Hong Mao , Tianzhen Wei , Jinshuang Jin

I discuss chiral symmetry restoration in the chiral limit $m\to 0$ of QCD with two light quark flavours of mass $m$, focussing on its consequences for scalar and pseudoscalar susceptibilities, and on the resulting constraints on the Dirac…

高能物理 - 格点 · 物理学 2024-12-04 Matteo Giordano

We present a study of the $\pi\pi$ scattering amplitude in the $\sigma$ and $\rho$ channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which…

高能物理 - 唯象学 · 物理学 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

The CP-restoring phase transition at theta = pi and high temperature is investigated using two related models that aim to describe the low-energy phenomenology of QCD, the NJL model and the linear sigma model coupled to quarks. Despite many…

高能物理 - 唯象学 · 物理学 2009-11-19 Jorn K. Boomsma , Daniel Boer

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…

高能物理 - 唯象学 · 物理学 2015-06-03 R. Torres Andres , A. Gomez Nicola

We present a lattice-QCD based analysis of the nucleon sigma terms using gauge ensembles with $N_f = 2 + 1$ flavors of ${\cal O}(a)$-improved Wilson fermions, with a complete error budget concerning excited-state contaminations, the chiral…

We investigate several aspects of chiral symmetry in QCD at a temperature of $T = 128\,\text{MeV}$. The study is based on a $24\times 96^3$ lattice-QCD ensemble with O($a$)-improved Wilson quarks and physical up, down and strange quark…

高能物理 - 格点 · 物理学 2023-04-05 Marco Cè , Tim Harris , Ardit Krasniqi , Harvey B. Meyer , Csaba Török

A simple matching procedure is proposed to extract constraints on effective meson theories. In this way, a QCD prediction for the pion decay constant is found, F(pi)=2 m(pi)/pi, i.e. approximately 90MeV. The same procedure also determines…

高能物理 - 唯象学 · 物理学 2007-05-23 Christopher Smith

The photon pair production by pion annihilation in a hot and dense medium at the chiral phase transition is investigated within a chiral quark model. As a direct consequence of this transition the $\sigma$ meson appears as a bound state in…

高能物理 - 唯象学 · 物理学 2009-10-30 M. K. Volkov , E. A. Kuraev , D. Blaschke , G. Roepke , S. Schmidt

The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

高能物理 - 唯象学 · 物理学 2008-11-26 Nicholas Petropoulos

We revisit the renormalization prescription for the quark-meson model in an extended mean-field approximation, where vacuum quark fluctuations are included. At a given cutoff scale the model parameters are fixed by fitting vacuum…

高能物理 - 唯象学 · 物理学 2016-08-17 Stefano Carignano , Michael Buballa , Wael Elkamhawy

We study the effects of CP violation on the nature of the chiral transition within the linear sigma model with two flavors of quarks. The finite-temperature effective potential containing contributions from nontrivial values for the…

高能物理 - 唯象学 · 物理学 2009-12-15 Ana Júlia Mizher , Eduardo S. Fraga