Role of the tetraquark in the chiral phase transition

Heinz, Achim; Strüber, Stefan; Giacosa, Francesco; Rischke, Dirk H.

doi:10.1103/physrevd.79.037502

Cited by 46 publications

(38 citation statements)

References 31 publications

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“…[23] at finite temperature and vanishing density, we find that also at nonzero density a light tetraquark field has a strong influence on the medium properties of the system due to the interplay of two condensates, the tetraquark and the chiral (quark-antiquark) condensates. Interestingly, the described scenario and also the values of the coupling constants are in agreement with the work of Ref.…”

Section: Discussionmentioning

confidence: 98%

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Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density

2011

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We investigate the role of a scalar tetraquark state for the description of nuclear matter within the parity doublet model in the mirror assignment. In the dilatation-invariant version of the model a nucleon-nucleon interaction term mediated by the lightest scalar tetraquark field naturally emerges. At nonzero density one has, beyond the usual chiral condensate, also a tetraquark condensate. The behavior of both condensates and the restoration of chiral symmetry at high density are studied. It is shown that this additional scalar degree of freedom affects non negligibly the properties of the medium.

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Section: Discussionmentioning

confidence: 98%

“…It can be coupled to the model following Refs. [7,23]. (iii) The dilaton/glueball field G can also be easily added to the meson sector according to the requirement of dilatation invariance and the corresponding trace anomaly [20].…”

Section: The Parity Doublet Model In the Baryon Sectormentioning

confidence: 99%

Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density

2011

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“…Indeed, in the two-flavor case the resonance f 0 (500) as a tetraquark/molecular field has been already included in a simplified version of the eLSM [41], in which chiral symmetry restoration at nonzero temperature has been studied, and in the extension of the eLSM to the baryonic sector [42]. The role of f 0 (500) is important because it induces a strong attraction between nucleons and affects the properties of nuclear matter at nonzero density.…”

Section: Inclusion Of Light Tetraquark Fieldsmentioning

confidence: 99%

Isf0(1710)a glueball?

2014

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We study the three-flavor chirally and dilatation invariant extended Linear Sigma Model with (pseudo)scalar and (axial-)vector mesons as well as a scalar dilaton field whose excitations are interpreted as a glueball. The model successfully describes masses and decay widths of quarkantiquark mesons in the low-energy region up to 1.6 GeV. Here we study in detail the vacuum properties of the scalar-isoscalar J P C = 0 ++ channel and find that (i) a narrow glueball is only possible if the vacuum expectation value of the dilaton field is (at tree-level) quite large (i.e., larger than what lattice QCD and QCD sum rules suggest) and (ii) that only solutions in which f0 (1710) is predominantly a glueball are found. Moreover, the resonance f0(1370) turns out to be mainly (ūu +dd)/ √ 2 and thus corresponds to the chiral partner of the pion, while the resonance f0(1500) is mainlyss.

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“…Moreover, chiral partners in the scalar-pseudoscalar sector are understood through degeneration of correlators and susceptibilities [26], something which is also directly seen in lattice data [4,5]. The role of the f 0 ð500Þ state for chiral restoration could become more complicated if its possible tetraquark component is also considered at finite temperature [27].…”

Section: Introductionmentioning

confidence: 99%

Large-Npion scattering at finite temperature: Thef0(500)and chiral restoration

2016

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We consider the OðN þ 1Þ=OðNÞ nonlinear sigma model for large N as an effective theory for lowenergy QCD at finite temperature T, in the chiral limit. At T ¼ 0 this formulation provides a good description of scattering data in the scalar channel and dynamically generates the f 0 ð500Þ pole, the pole position lying within experimental determinations. Previous T ¼ 0 results with this model are updated using newer analysis of pion scattering data. We calculate the pion scattering amplitude at finite T and show that it exactly satisfies thermal unitarity, which had been assumed but not formally proven in previous works. We discuss the main differences with the T ¼ 0 result, and we show that one can define a proper renormalization scheme with T ¼ 0 counterterms such that the renormalized amplitude can be chosen to depend only on a few parameters. Next, we analyze the behavior of the f 0 ð500Þ pole at finite T, which is consistent with chiral symmetry restoration when the scalar susceptibility is saturated by the f 0 ð500Þ state, in a second-order transition scenario and in accordance with lattice and theoretical analysis.

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Role of the tetraquark in the chiral phase transition

Cited by 46 publications

References 31 publications

Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density

Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density

Isf0(1710)a glueball?

Large-Npion scattering at finite temperature: Thef0(500)and chiral restoration

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