Thermal behaviors of light scalar resonances at low temperatures

Gao, Rui; Guo, Zhi-Hui; Pang, Jin-Yi

doi:10.1103/physrevd.100.114028

Cited by 11 publications

(18 citation statements)

References 58 publications

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“…For the unitarized π K scattering amplitude we rely on the UChPT techniques described in [48][49][50] and write the I = 1/2 scalar π K partial wave as…”

Section: Theoretical Analysis From Effective Theoriesmentioning

confidence: 99%

“…For the unitarized scattering amplitude we rely on the UChPT techniques described in [ 48 – 50 ] and write the scalar partial wave as where , is the T -independent leading-order ChPT amplitude, the pion (kaon) mass and the pion decay constant. For the contribution we consider two different methods consistent within unitarity and analyticity requirements for the thermal amplitude: where is the one-loop thermal integral in the center-of-momentum frame, whose detailed expression can be found, e.g., in [ 51 ], with , and after analytic continuation from external discrete frequencies.…”

Section: Properties Of Andmentioning

confidence: 99%

“…Method 1 was proposed in [ 50 ], where denotes the finite part of , renormalized by a subtraction constant fitted to scattering data at [ 52 , 53 ]. In Method 2, is the renormalized ChPT amplitude at [ 54 ].…”

Section: Properties Of Andmentioning

confidence: 99%

“…As a test of the capability of Methods 1 and 2 to describe the , we get at and , for method 1 and 2, respectively, where we have used the subtraction constant value and error in [ 50 ] for method 1 and the low-energy constants (LECs) of the global fit in [ 57 ] for method 2. For the latter, the uncertainties are computed from the propagation in quadrature of the LEC errors.…”

Section: Properties Of Andmentioning

confidence: 99%

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The role of strangeness in chiral and $$U(1)_A$$ restoration

et al. 2021

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We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ($$\chi _S^\kappa $$ χ S κ , $$\chi _P^K$$ χ P K ) in the isospin 1/2 channel. We show that $$\chi _S^\kappa $$ χ S κ develops a maximum above the QCD chiral transition, after which it degenerates with $$\chi _P^K$$ χ P K . We also obtain $$\chi _S^\kappa $$ χ S κ within Unitarized Chiral Perturbation Theory (UChPT) at finite temperature, when it is saturated with the $$K_0^*(700)$$ K 0 ∗ ( 700 ) (or $$\kappa $$ κ ) meson, the dominant lowest-energy state in the isospin 1/2 scalar channel of $$\pi K$$ π K scattering. Such UChPT result reproduces the expected peak structure, revealing the importance of thermal interactions, and makes it possible to examine the $$\chi _S^\kappa $$ χ S κ dependence on the light- and strange-quark masses. A consistent picture emerges controlled by the $$m_l/m_s$$ m l / m s ratio that allows one studying $$K-\kappa $$ K - κ degeneration in the chiral, two-flavor and SU(3) limits. These results provide an alternative sign for $$O(4)\times U(1)_A$$ O ( 4 ) × U ( 1 ) A restoration that can be explored in lattice simulations and highlight the role of strangeness, which regulated by the strange-quark condensate helps to reconcile the current tension among lattice results regarding $$U(1)_A$$ U ( 1 ) A restoration.

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“…For the unitarized π K scattering amplitude we rely on the UChPT techniques described in [48][49][50] and write the I = 1/2 scalar π K partial wave as…”

Section: Theoretical Analysis From Effective Theoriesmentioning

confidence: 99%

Section: Properties Of Andmentioning

confidence: 99%

Section: Properties Of Andmentioning

confidence: 99%

Section: Properties Of Andmentioning

confidence: 99%

See 2 more Smart Citations

The role of strangeness in chiral and $$U(1)_A$$ restoration

et al. 2021

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show abstract

“…In this context, it is worth mentioning also a recent analysis of other scattering processes at finite temperature and the corresponding evolution of thermal poles, performed recently in [111]. In particular, the f 0 (500), K * (700), f 0 (980) and a 0 (980) states are analyzed, which require the finite-T amplitudes for binary processes involving π, K, η states.…”

Section: Spectral Properties Of Hadrons In the Thermal Bathmentioning

confidence: 99%

Aspects on Effective Theories and the QCD Transition

Nicola

2020

Symmetry

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We review recent advances in the understanding of the Quantum Chromodynamics (QCD) transition and its nature, paying special attention to the analysis of chiral symmetry restoration within different approaches based on effective theories. After presenting some of the main aspects of the current knowledge of the phase diagram from the theoretical, experimental and lattice sides, we discuss some recent problems where approaches relying on effective theories have been particularly useful. In particular, the combination of ideas such as Chiral Perturbation Theory, unitarity and Ward Identities allows us to describe successfully several observables of interest. This is particularly relevant for quantities expected to be dominated by the light meson components of the hadron gas such as the scalar and topological susceptibilities. In addition, ward identities and effective Lagrangians provide systematic results regarding chiral and U ( 1 ) A partner degeneration properties which are of great importance for the interplay between those two transitions and the nature of chiral symmetry restoration. Special attention is paid to the connection of this theoretical framework with lattice simulations.

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The pion-kaon scattering amplitude and the $$ {K}_0^{\ast }(700) $$ and K∗(892) resonances at finite temperature

Nicola,

de Elvira,

Vioque-Rodríguez

2023

J. High Energ. Phys.

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We perform a complete calculation of the pion-kaon scattering amplitude in Chiral Perturbation Theory at finite temperature, paying particular attention to the analytic structure of the amplitude and the main differences with respect to the zero temperature case. We also extend the Inverse Amplitude Method at finite temperature for unequal-mass scattering processes, which allows us to unitarize the amplitude and obtain the thermal evolution of the $$ {K}_0^{\ast }(700) $$ K 0 ∗ 700 and K∗(892) pole parameters. As a direct application of our analysis, we show that the thermal evolution of the $$ {K}_0^{\ast }(700) $$ K 0 ∗ 700 resonance is crucial to explain the behavior of the scalar susceptibility for isospin I = 1/2, which in turn, is directly connected with chiral and U(1)A restoration properties of the QCD phase diagram.

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Thermal behaviors of light scalar resonances at low temperatures

Cited by 11 publications

References 58 publications

The role of strangeness in chiral and $$U(1)_A$$ restoration

The role of strangeness in chiral and $$U(1)_A$$ restoration

Aspects on Effective Theories and the QCD Transition

The pion-kaon scattering amplitude and the $$ {K}_0^{\ast }(700) $$ and K∗(892) resonances at finite temperature

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