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Related papers: Rho and Sigma Mesons in Unitarized Thermal ChPT

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Building upon recent results on the role of thermal resonances in chiral symmetry restoration, we show that a description of the QCD scalar susceptibility at finite temperature $T$ saturated by the thermal properties of the lightest scalar…

High Energy Physics - Phenomenology · Physics 2025-12-17 Angel Gómez Nicola , Andrea Vioque-Rodríguez

We have evaluated the shear viscosity of pion gas taking into account its scattering with the low mass resonances, $\sigma$ and $\rho$ during propagation in the medium. The thermal width (or collisional rate) of the pions is calculated from…

Nuclear Theory · Physics 2014-04-08 Sabyasachi Ghosh , Gastão Krein , Sourav Sarkar

Within a chiral model which provides a good description of the properties of rho and a_1 mesons in vacuum, it is shown that, to order T^2, the rho- and a_1-meson masses remain constant in the chiral limit, even if at tree level they are…

Nuclear Theory · Physics 2009-11-07 M. Urban , M. Buballa , J. Wambach

The phase diagram of the three-flavor QCD is mapped out in the low mass corner of the m_pi-m_K--plane with help of the SU_L(3) x SU_R(3) linear sigma model (LSM). A novel zero temperature parametrization is proposed for the mass dependence…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Herpay , A. Patkos , Zs. Szep , P. Szepfalusy

We study the effect of thermal width of $\pi$ on the spectral function of $\sigma$ applying a resummation technique called optimized perturbation theory at finite temperature ($T$) to ${\cal O}(4)$ linear sigma model. In order to take into…

High Energy Physics - Phenomenology · Physics 2016-09-06 Yoshimasa Hidaka , Osamu Morimatsu , Tetsuo Nishikawa , Munehisa Ohtani

The Bethe-Salpeter equation restores exact elastic unitarity in the s- channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the…

Nuclear Theory · Physics 2009-10-31 Juan Nieves , Enrique Ruiz Arriola

Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge invariant MPO is constructed to represent Gibbs states. As a first application the chiral condensate in thermal…

High Energy Physics - Lattice · Physics 2016-10-26 Boye Buyens , Frank Verstraete , Karel Van Acoleyen

Both scalar and vector light resonances can be generated from the unitarization of one-loop chiral perturbation theory. This amounts to using in a dispersion relation the chiral expansion, which incorporates the correct QCD quark mass…

High Energy Physics - Phenomenology · Physics 2007-12-19 J. R. Pelaez , C. Hanhart , G. Rios

We want to test the predictive power of Chiral Perturbation Theory (ChPT). In this work, we use the ChPT pion-pion scattering amplitude, including two loop contributions, and we obtain S- and P-wave low-energy phase shifts. We show that, by…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Sa Borges , J. Soares Barbosa , M. D. Tonasse , J. Haidenbauer

One-loop unitarized Chiral Perturbation Theory (UChPT) calculations, suggest a different Nc behaviour for the sigma or f_0(600) and rho(770) mesons: while the rho meson becomes narrower with Nc, as is expected for a q-qbar meson, the sigma…

High Energy Physics - Phenomenology · Physics 2015-05-18 J. Ruiz de Elvira , J. R. Pelaez , M. R. Pennington , D. J. Wilson

We present a calculation of the phase-shift for $\pi$-$\pi$ scattering in isospin-1, spin-1 channel in the elastic region. The mass and width of the rho resonance is extracted by fitting these phaseshifts. To vary the scattering momentum we…

High Energy Physics - Lattice · Physics 2015-11-20 Dehua Guo , Andrei Alexandru

After a brief summary of the QCD phase structure with light quarks, we discuss two recent developments on in-medium hadrons. First topic is the sigma-meson which is a fluctuation of the chiral order parameter \bar{q}q. Although sigma is at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tetsuo Hatsuda

We present the results on the relativistic six-pion scattering amplitude at low energy, calculated at $\mathcal{O}(p^4)$ within the framework of the massive $\text{O}(N)$ nonlinear sigma model extended to the next-to-leading order in the…

High Energy Physics - Phenomenology · Physics 2022-04-04 Tomáš Husek

We compute low temperature corrections to the electromagnetic mass difference of pions in the chiral limit. The computation is done in a model independent way in the framework of chiral perturbation theory, using the background field method…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Manuel , N. Rius

We show that the $\sigma/f_0(500)$ state with finite-temperature $T$ corrections to its spectral properties included, plays an essential role for the description of the scalar susceptibility $\chi_S$, signaling chiral symmetry restoration.…

High Energy Physics - Phenomenology · Physics 2019-03-06 S. Ferreres-Solé , A. Gómez Nicola , A. Vioque-Rodríguez

We examine the thermalization of an ensemble of the octet of pseudoscalar mesons, in the isospin symmetric limit, whose interactions are constrained through chiral symmetry, unitarity, and measurements. The reaction amplitudes generate all…

High Energy Physics - Phenomenology · Physics 2021-03-31 Sourendu Gupta , Jajati K. Nayak , Sushant K. Singh

We evaluate the two pion decay of the Roper resonance in a model where explicit re-scattering of the two final pions is accounted for by the use of unitarized chiral perturbation theory. Our model does not include an explicit $\epsilon$ or…

Nuclear Theory · Physics 2016-09-08 E. Hernández , E. Oset , M. J. Vicente Vacas

The structure of baryon resonance in coupled-channel meson-baryon scattering is studied from the viewpoint of chiral dynamics. The meson-baryon scattering amplitude can be successfully described together with the properties of the resonance…

High Energy Physics - Phenomenology · Physics 2010-07-23 Tetsuo Hyodo

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…

High Energy Physics - Phenomenology · Physics 2016-12-28 Santiago Cortés , Angel Gómez Nicola , John Morales

Recent developments on medium modifications of hadron properties in dense and hot hadronic matter are discussed. I will focus in particular on the behavior of spectral functions associated to collective scalar-isoscalar modes, kaons and…

Nuclear Theory · Physics 2016-09-08 Guy Chanfray