QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks

Ayala, Alejandro; Hernández-Ortíz, Saúl; Hernández, L. A.

doi:10.31349/revmexfis.64.302

Cited by 13 publications

(2 citation statements)

References 22 publications

(24 reference statements)

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“…and the charged boson propagator is given by Eq. (33). Now I(B, P, m i ) does not contribute to the magnetic field corrections to the boson self-coupling but J(B, P, m j ) do contribute.…”

Section: Discussionmentioning

confidence: 92%

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Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

Das

Haque

2020

Phys. Rev. D

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We calculate neutral pion mass in presence of an external arbitrary magnetic field in the framework of linear sigma model coupled to quark (LSMq) at zero temperature. We find non-monotonic behavior of pion mass as a function of magnetic field. We are also able to reproduce existing results for the weak field approximation. I. INTRODUCTIONIn heavy-ion collisions (HIC) experiments, a very strong anisotropic magnetic field (∼ 10 19 Gauss) is generated in peripheral collisions due to the relative motion of the colliding ions [1-5] and the direction of the generated magnetic field is perpendicular to the reaction plane. Apart from the HIC, finite magnetic field is also involved in the interior of dense astrophysical objects like compact stars, magnetars [6] and also in the early universe. The effects of such magnetic fields on fundamental particles cannot be neglected and the detailed understanding of the effects on the elementary particles is essential at fundamental levels.One of such effects is the behavior of meson masses as a function of the strength of the magnetic field. The study of magnetic field dependent meson masses is a subject of active research. In Ref.[7], the authors have studied light mesons, namely charged, neutral pions (π ± , π 0 ), rho mesons (ρ ± , ρ 0 ), masses in the presence external electromagnetic field in the framework of lattice quantum chromodynamics (LQCD) and have shown that the magnetic field dependent neutral pion mass decreases with the magnetic field strength.Apart from LQCD calculations, various effective QCD models have been used to study the properties of meson masses in presence of magnetic field. This includes chiralperturbation theory [8,9], pseudoscalar(PS) and pseudovector(PV) pion-nucleon interaction model [10,11], Nambu-Jona Laisino(NJL) model and its extension [12][13][14][15][16], Polyakov loop extension of NJL (PNJL) model [17,18], PQM model [19,20], quark-meson model [21][22][23][24][25].The linear sigma model (LSM) is one of oldest, simplest model in pre-QCD era originally proposed by Gell-Mann and Lévy [26] to describe pion-nucleon interaction. Many global symmetries of QCD is seen to be exhibited * aritra.das@saha.ac.in † nhaque@niser.ac.in

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“…and the charged boson propagator is given by Eq. (33). Now I(B, P, m i ) does not contribute to the magnetic field corrections to the boson self-coupling but J(B, P, m j ) do contribute.…”

Section: Discussionmentioning

confidence: 92%

“…It is called linear sigma model coupled to quark (LSMq). The study of QCD phase diagrams has been carried out within the framework of LSMq in [31][32][33]. In ref.…”

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confidence: 99%

Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

Das

Haque

2020

Phys. Rev. D

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Localized rainbows in the QCD phase diagram

2020

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We study the phase diagram of strongly interacting matter with light quarks using a recently proposed, small parameter approach to infrared QCD in the Landau gauge. This is based on an expansion with respect to both the inverse number of colors and the pure Yang-Mills coupling in the presence of a Curci-Ferrari mass term. At leading order, this leads to the well-known rainbow equation for the quark propagator with a massive gluon propagator. We solve the latter at nonzero temperature and chemical potential using a simple semi-analytic approximation known to capture the essence of chiral symmetry breaking in the vacuum. In the chiral limit, we find a tricritical point which becomes a critical endpoint in the presence of a nonzero bare quark mass, in agreement with the results of nonperturbative functional methods and model calculations. This supports the view that the present approach allows for a systematic study of the QCD phase diagram in a controlled expansion scheme.

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Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram

et al. 2020

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We use the linear sigma model with quarks to locate the critical end point in the effective QCD phase diagram accounting for fluctuations in temperature and quark chemical potential. For this purpose, we use the non-equilibrium formalism provided by the superstatistics framework. We compute the effective potential in the high-and low-temperature approximations up to sixth order and include the contribution of ring diagrams to account for plasma screening effects. We fix the model parameters from relations between the thermal sigma and pion masses imposing a first order phase transition at zero temperature and a finite critical value for the baryon chemical potential that we take of order of the nucleon mass. We find that the CEP displacement due to fluctuations in temperature and/or quark chemical potential is almost negligible.

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QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks

Cited by 13 publications

References 22 publications

Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

Localized rainbows in the QCD phase diagram

Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram

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