scholarly journals The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
L. I. Abou-Salem ◽  
N. M. El Naggar ◽  
I. A. Elmashad
Keyword(s):  
Asymptotic Behavior ◽  
Equation Of State ◽  
Energy Density ◽  
Uncertainty Principle ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Generalized Uncertainty Principle ◽  
Gluon Plasma ◽  
Minimal Length ◽  
Interaction Measure

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case ofnf=0,nf=2, andnf=2+1flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case ofnf=2+1flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.

scholarly journals A Study on Quark-Gluon Plasma Equation of State Using Generalized Uncertainty Principle

2013 ◽  
Vol 04 (04) ◽  
pp. 13-20 ◽  
Author(s):  
Nabil M. El Naggar ◽  
Lotfy I. Abou-Salem ◽  
Ibrahim A. Elmashad ◽  
Ahmed Farag Ali
Keyword(s):  
Equation Of State ◽  
Uncertainty Principle ◽  
Quark Gluon Plasma ◽  
Generalized Uncertainty Principle ◽  
Gluon Plasma ◽  
Plasma Equation

scholarly journals Propagation of non-linear waves in hot, ideal, and non-extensive quark–gluon plasma

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Trambak Bhattacharyya ◽  
Abhik Mukherjee
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Quark Gluon Plasma ◽  
Wave Solution ◽  
Density Perturbation ◽  
Gluon Plasma ◽  
Breaking Wave ◽  
Linear Waves ◽  
Momentum Distributions ◽  
Non Linear

Abstract We study the propagation of energy density perturbation in a hot, ideal quark–gluon medium in which quarks and gluons follow the Tsallis-like momentum distributions. We have observed that a non-extensive MIT bag equation of state obtained with the help of the quantum Tsallis-like distributions gives rise to a breaking wave solution of the equation dictating the evolution of energy density perturbation. However, the breaking of waves is delayed when the value of the Tsallis q parameter and the Tsallis temperature T are higher.

EQUATION OF STATE FOR QUARK GLUON PLASMA IN A RELATIVISTIC HARMONIC CONFINEMENT MODEL

1993 ◽  
Vol 08 (08) ◽  
pp. 749-755 ◽  
Author(s):  
S.B. KHADKIKAR ◽  
J.C. PARIKH ◽  
P.C. VINODKUMAR
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Quark Gluon Plasma ◽  
Background Field ◽  
Gluon Plasma ◽  
Harmonic Mode ◽  
Small Quantum ◽  
Harmonic Confinement ◽  
Current Confinement ◽  
Confinement Model

A relativistic harmonic confinement model for quarks and a similar current confinement model for gluons have been used to obtain an equation of state for quark-gluon plasma. Such models may be deduced from QCD under certain approximations, by considering small quantum fluctuations about a background field. At high temperatures a T7 dependence of pressure and energy density is obtained with relativistic harmonic mode of confinement.

THE EQUATION OF STATE OF QUASI-PARTICLE MODEL OF QUARK–GLUON PLASMA AT FINITE CHEMICAL POTENTIAL

2010 ◽  
Vol 25 (01) ◽  
pp. 47-54 ◽  
Author(s):  
A-MENG ZHAO ◽  
JING CAO ◽  
LIU-JUN LUO ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Equation Of State ◽  
Effective Mass ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma ◽  
Quark Propagator ◽  
Particle Model ◽  
Quasi Particle ◽  
Model Independent ◽  
Free Quark

In this letter we propose a new method of calculating the equation of state (EOS) of quasi-particle model of quark–gluon plasma at finite chemical potential. In the quasi-particle model the quark propagator has the form of a free quark propagator with a temperature and density dependent effective mass. From this quark propagator the EOS at finite chemical potential is calculated using the model-independent formula proposed in Refs. 16 and 17. A comparison between our EOS and the cold, perturbative EOS of QCD proposed in Ref. 23 is made.

Color path integral equation of state of the quark–gluon plasma at nonzero chemical potential

2015 ◽  
Vol 57 (4) ◽  
pp. 044004 ◽  
Author(s):  
V S Filinov ◽  
M Bonitz ◽  
Yu B Ivanov ◽  
E-M Ilgenfritz ◽  
V E Fortov
Keyword(s):  
Integral Equation ◽  
Equation Of State ◽  
Path Integral ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma

scholarly journals Phenomenological models of the quark-gluon plasma equation of state

2002 ◽  
Vol 106-107 ◽  
pp. 528-530
Author(s):  
Peter N. Meisinger ◽  
Travis R. Miller ◽  
Michael C. Ogilvie
Keyword(s):  
Equation Of State ◽  
Phenomenological Models ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Plasma Equation

scholarly journals Effect of GUP on the Kepler problem and a variable minimal length

2014 ◽  
Vol 92 (6) ◽  
pp. 484-487 ◽  
Author(s):  
Fatemeh Ahmadi ◽  
Jafar Khodagholizadeh
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Kepler Problem ◽  
Rotational Symmetry ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Minimal Length ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Perihelion Shift

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg uncertainty principle near the Plank scale, known as the generalized uncertainty principle (GUP). Here we study the effects of GUP, which preserves the rotational symmetry of the space–time, on the Kepler problem. By comparing the value of the perihelion shift of the planet Mercury in Schwarzschild – de Sitter space–time with the resultant value of GUP, we find a relation between the minimal measurable length and the cosmological constant of the space–time. Now, if the cosmological constant varies with time, we have a variable minimal length in the space–time. Finally, we investigate the effects of GUP on the stability of circular orbits.

scholarly journals QCD PHASE TRANSITION IN DGP BRANE COSMOLOGY

2012 ◽  
Vol 21 (08) ◽  
pp. 1250069 ◽  
Author(s):  
K. ATAZADEH ◽  
A. M. GHEZELBASH ◽  
H. R. SEPANGI
Keyword(s):  
Phase Transition ◽  
Energy Density ◽  
Early Universe ◽  
Effective Temperature ◽  
Quark Gluon Plasma ◽  
Friedmann Equation ◽  
Gluon Plasma ◽  
High Energy ◽  
Brane World ◽  
High Energy Density

In the standard picture of cosmology it is predicted that a phase transition, associated with chiral symmetry breaking after the electroweak transition, has occurred at approximately 10μ seconds after the Big Bang to convert a plasma of free quarks and gluons into hadrons. We consider the quark-hadron phase transition in a Dvali, Gabadadze and Porrati (DGP) brane world scenario within an effective model of QCD. We study the evolution of the physical quantities useful for the study of the early universe, namely, the energy density, temperature and the scale factor before, during and after the phase transition. Also, due to the high energy density in the early universe, we consider the quadratic energy density term that appears in the Friedmann equation. In DGP brane models such a term corresponds to the negative branch (ϵ = -1) of the Friedmann equation when the Hubble radius is much smaller than the crossover length in 4D and 5D regimes. We show that for different values of the cosmological constant on a brane, λ, phase transition occurs and results in decreasing the effective temperature of the quark-gluon plasma and of the hadronic fluid. We then consider the quark-hadron transition in the smooth crossover regime at high and low temperatures and show that such a transition occurs along with decreasing the effective temperature of the quark-gluon plasma during the process of the phase transition.

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