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相关论文: Revisiting $O(N)$ $\sigma$ model at unphysical pio…

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The effective potential of the $O(N)$ model at large $N$ limit is reinvestigated with varying pion mass and temperature. For large pion masses and high temperatures, we find the phenomenologically favored vacuum, located on the upper branch…

高能物理 - 唯象学 · 物理学 2024-11-28 Yuan-Lin Lyu , Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

核理论 · 物理学 2009-10-30 Heui-Seol Roh , T. Matsui

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same…

高能物理 - 唯象学 · 物理学 2009-10-28 Alexander Bochkarev , Joseph Kapusta

We study how we can understand the change of the spectral function and the pole location of the correlation function for sigma at finite temperature, which were previously obtained in the linear sigma model with a resummation technique…

高能物理 - 唯象学 · 物理学 2016-09-06 Yoshimasa Hidaka , Osamu Morimatsu , Tetsuo Nishikawa , Munehisa Ohtani

In this work, we review how the mass and the width of the $f_{0}(500)$ pole behave in a regime where temperature is below the critical chiral transition value. This is attained by considering a large-$N$ $O(N + 1)/O(N)$ invariant Non-Linear…

高能物理 - 唯象学 · 物理学 2016-09-29 Santiago Cortes , Angel Gomez Nicola , John Morales

By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound…

高能物理 - 唯象学 · 物理学 2016-07-13 Rui Zhang , Wei-jie Fu , Yu-xin Liu

We investigate chiral phase transitions and the screening masses, pole masses, and thermal widths of neutral pion meson with finite temperature $T$ and magnetic field $B$ in a lattice-improved AdS/QCD model, which is constructed by fitting…

高能物理 - 理论 · 物理学 2024-02-12 Nanxiang Wen , Xuanmin Cao , Jingyi Chao , Hui Liu

We analyze chiral restoration within the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$. The free energy is constructed diagramatically to ${\cal O}(TM^3)$ in the pion…

高能物理 - 唯象学 · 物理学 2016-12-28 Santiago Cortés , Angel Gómez Nicola , John Morales

We consider the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$, in the chiral limit. At $T=0$ this formulation provides a good description of scattering data in the…

高能物理 - 唯象学 · 物理学 2016-05-16 Santiago Cortes , Angel Gomez Nicola , John Morales

Using unitarized Chiral Perturbation Theory methods, we perform a detailed analysis of the $\pi\pi$ scattering poles $f_0(600)$ and $\rho(770)$ behaviour when medium effects such as temperature or density drive the system towards Chiral…

高能物理 - 唯象学 · 物理学 2008-11-26 D. Fernandez-Fraile , A. Gomez Nicola , E. T. Herruzo

We study the pole trajectory of the recently established subthreshold negative parity nucleon pole, namely the $N^*(920)$, with varying pion masses, in the scheme of linear $\sigma$ model with nucleons using the $N/D$ unitarization method.…

高能物理 - 唯象学 · 物理学 2025-10-14 Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

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…

高能物理 - 唯象学 · 物理学 2013-11-11 M. Abu-Shady , H. Mansour

We summarize recent results on studies of $\pi\pi$ and $\pi N$ scatterings. They include the finding of a negative-parity nucleon pole with a mass lower than the nucleon mass, and the pole trajectory of $f_0(500)$ as the pion mass varies.…

高能物理 - 唯象学 · 物理学 2025-12-08 Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

We analyze the $f_0(500)$ state generated as a pole of $\pi\pi$ scattering within unitarized low-energy effective theories at finite temperature. First, we report on the $\sigma$ self-energy in the LSM, which is used as a benchmark in order…

高能物理 - 唯象学 · 物理学 2018-12-14 A. Vioque-Rodríguez , A. Gómez Nicola

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

We study the O(N) linear sigma model with spontaneous symmetry breaking at finite temperature in the framework of the two-particle point-irreducible (2PPI) effective action. We go beyond the Hartree approximation by including the two-loop…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Baacke , Stefan Michalski

We study chiral symmetry restoration by analyzing thermal properties of QCD's (pseudo-)Goldstone bosons, especially the pion. The meson properties are obtained from the spectral densities of mesonic imaginary-time correlation functions. To…

高能物理 - 唯象学 · 物理学 2023-02-15 Yin-Zhen Xu , Si-Xue Qin , Hong-Shi Zong

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 study the nature of the chiral transition for an effective theory with spontaneous breaking of symmetry, where charged bosons and fermions are subject to the effects of a constant external magnetic field. The problem is studied in terms…

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral…

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