Effect of Logarithmic Mesonic Potential on Nucleon Properties

2010

Int J Theor Phys

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The meson masses are investigated at finite temperature in the framework of the linear sigma model with an explicit chiral symmetry breaking term. The imaginary-time thermo-field dynamics and effective potential have been used for the calculation of the meson masses. We found that the behavior of the sigma and pion masses at finite temperature is in agreement with previous works. The critical temperature, the order of the phase transition, and the dependence of the meson fields on the temperature are discussed.Keywords The linear sigma model · The mean field approximation · Finite temperature field theory M. Abu-Shady ( )

Section: Discussion Of Resultsmentioning

confidence: 99%

“…To solve (20), we integrate a suitable Green's function over the source fields as in [19][20][21], thus…”

Section: The Scalar Field σmentioning

confidence: 99%

Meson Properties at Finite Temperature in the Linear Sigma Model

2010

Int J Theor Phys

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“…This model successfully predicted the nucleon properties in low energy (zero temperature and density) after replacing the baryon picture by the quark picture as in [3][4][5][6]. This model has been extended by including higher-order mesonic contributions [7][8][9] or by replacing the original mesonic potential by the logarithmic mesonic potential [10][11][12] to improve the description of nucleon properties at low energy.…”

Section: Introductionmentioning

confidence: 94%

Nucleon Properties Below the Critical Point Temperature

2010

Int J Theor Phys

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In this paper, we extended our work (Abu-Shady, Int. J. Theory Phys. 49:2425Phys. 49: , 2010 to include nucleon properties. The field equations have been solved in the mean-field approximation using the effective mesonic potential at finite temperature. We found that the nucleon first mass increases up to 4 5 T c MeV (where T c is the critical point temperature) then decreases at higher values of temperature which approach the critical temperature (T c ). In addition, we found that the magnetic moments of the proton and neutron can be increased by increasing the temperature up to the critical temperature. Moreover, we examined the axial coupling constant g A (0), and the pion-nucleon coupling constant g πNN (0) as functions of temperature. The obtained results are compared with previous works. From the results, we conclude that finite temperature plays a significant role in the change of behavior of nucleon properties.Keywords The linear sigma model · The mean field approximation · Finite temperature field theory M. Abu-Shady ( )

“…In addition, the effect of free parameters on the meson properties, the critical temperature and the phase transition are investigated. We avoid the physical difficulty that found in the previous works, 19,20 which comes from singularity point. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 91%

“…16-18. At zero temperature and density, a logarithmic mesonic potential is suggested to provide a good description of nucleon properties in the original quark sigma model as in Refs. 19 and 20. The aim of this work is to extend the previous work 19 to finite temperature and chemical potential. Thus the meson masses, the chiral phase transition and the critical temperature are investigated.…”

Section: Introductionmentioning

confidence: 99%

Chiral logarithmic sigma model at finite temperature and baryonic chemical potential

2014

Mod. Phys. Lett. A

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A logarithmic potential is suggested to study the chiral phase transition, the critical temperature, and the meson masses at finite temperature and baryonic chemical potential. The logarithmic potential is based on some aspects of quantum chromodynamics (QCD) theory. The model has been solved in the mean-field approximation. We found that the behavior of meson masses takes a similar behavior as in the original sigma model and the Nambu-Jona-Lasinio model. The critical temperature is reduced in comparison with the original sigma model and it is in good agreement with recent lattice QCD results. The chiral phase transition is crossover in the case of chiral explicit breaking symmetry. The Goldstone boson theorem is studied, in which the meson mass is massive and pion mass is massless at lower temperatures. Our conclusions indicate to the present model successfully predicts the phase transition as well as in the original quark sigma model and the Nambu-Jona-Lasinio model. A new advantage of the present model, the critical temperature is in good agreement with lattice QCD results at zero chemical potential. A condition of spontaneous breaking symmetry is necessary to satisfy the Goldstone theorem in the chiral limit.