Collision energy dependence of the critical end point from baryon number fluctuations in the Linear Sigma Model with quarks

Ayala, Alejandro; Zamora, Bilgai Almeida; Cobos-Martínez, J. J.; Hernández-Ortíz, Saúl; Hernández, L. A.; Raya, Alfredo; Tejeda-Yeomans, María Elena

doi:10.1140/epja/s10050-022-00732-8

Cited by 9 publications

(3 citation statements)

References 47 publications

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“…The LSMq is a renormalizable theory that explicitly implements the QCD chiral symmetry. It has been successfully employed to study the chiral phase transition at finite T and µ B [56][57][58][59], as well as in the presence of a magnetic field [60][61][62][63][64][65][66][67]. The Linear Sigma Model has been used at finite µ I , albeit considering the meson degrees of freedom as an effective classical background, in the Hartree or Hartree Fock approximations within the Cornwall-Jackiw-Tomboulis (CJT) formalism [68].…”

Section: Introductionmentioning

confidence: 99%

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

Ayala¹,

Bandyopadhyay²,

Farias³

et al. 2023

Preprint

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We use the two-flavor linear sigma model with quarks to study the phase structure of isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the mean field chiral-and isospin-condensates on top of which we compute the effective potential accounting for quark fluctuations at one-loop order. Using the renormalizability of the model, we absorb the ultraviolet divergences into suitable counter-terms that are added respecting the original structure of the theory. These counter-terms are determined from the stability conditions which require the effective potential to have minima in the condensates directions at the classical values, as well as the transition from the non-condensed to the condensed phase to be smooth as a function of the isospin chemical potential. We use the model to study the evolution of the condensates as well as the pressure, energy and isospin densities and the sound velocity as functions of the isospin chemical potential. The approach does a good average description up to isospin chemical potentials values not too large as compared to the vacuum pion mass.

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Section: Introductionmentioning

confidence: 99%

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

Ayala¹,

Bandyopadhyay²,

Farias³

et al. 2023

Preprint

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“…Such inherent properties of QCD open the possibility of performing a perturbative treatment in the large-momentum-transfer processes where the coupling constant is small. Conversely, in the small-momentum-transfer region, the perturbative methods are useless (the coupling becomes strong), and several non-perturbative alternatives are used: lattice QCD (LQCD) [3,4], Dyson-Schwinger equations [5,6], Nambu-Jona-Lasinio (NJL) model [7,8], Linear Sigma Model (LσM) [9,10], among others.…”

Section: Introductionmentioning

confidence: 99%

Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework

Castaño-Yepes¹,

Paniagua²,

Muñoz-Vitelly³

et al. 2022

Preprint

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We investigate the impact of the finite volume and the thermal fluctuations on the Critical End Point of the QCD phase diagram. To do so, we implement the super statistics framework with Gamma distribution and its relation with the Tsallis non-extensive thermodynamics. We compute an effective thermodynamic potential as a function of the inverse temperature fluctuations and explicit dependence on the system volume. To find an analytic expression for the effective potential, we expand the modified Boltzmann factor by using the equilibrium thermodynamic potential computed in the Linear Sigma Model coupled to quarks. We find that the pseudocritical temperature of transition at vanishing baryon chemical potential is modified by the size of the system being about 20% lower for small volumes. Additionally, the critical endpoint moves to higher densities and lower temperatures (about 12% in both cases). Interestingly, the results are quantitatively the same when the parameter that models the out-of-equilibrium situation is modified, indicating that the chiral symmetry restoration is robust against the thermal fluctuations in this approximation.

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“…Notice that the position of the CEP is not significantly altered by varying the choice of parameters. For the allowed range of values of a, λ and g, the CEP location ranges between 786 MeV < µ CEP B < 849 MeV and 69 MeV < T CEP < 70.3 MeV.Adapted from[32].…”

mentioning

confidence: 99%

Plasma screening and the critical end point in the QCD phase diagram

Ayala¹,

Almeida

Cobos-Martínez

et al. 2022

Supl. Rev. Mex. Fis.

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In heavy-ion collisions, fluctuations of conserved charges are known to be sensitive observables to probe criticality for the QCD phase transition and to locate the position of the putative critical end point (CEP). In this work we seek to show that the Linear Sigma Model with quarks produces an effective description of the QCD phase diagram in which deviations from a Hadron Resonance Gas are due to plasma screening effects, encoded in the contribution of the ring diagrams. Accounting for these, it is possible to include in the description the effect of long-range correlations. To set the model parameters we use LQCD results for the crossover transition at vanishing chemical potential. Finally, studying baryon number fluctuations from the model, we show that the CEP can be located within the HADES and/or the lowest end of the NICA energy domain, √ sNN ∼ 2 GeV.

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Collision energy dependence of the critical end point from baryon number fluctuations in the Linear Sigma Model with quarks

Cited by 9 publications

References 47 publications

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework

Plasma screening and the critical end point in the QCD phase diagram

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