scholarly journals Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansions

2022 ◽  
Vol 128 (2) ◽  
Author(s):  
Sourav Mondal ◽  
Swagato Mukherjee ◽  
Prasad Hegde
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Chemical Potential ◽  
Taylor Expansions

scholarly journals Equation of state at finite temperature and chemical potential, lattice QCD results

2004 ◽  
Vol 2004 (05) ◽  
pp. 046-046 ◽  
Author(s):  
F Csikor ◽  
G.I Egri ◽  
Z Fodor ◽  
S.D Katz ◽  
K.K Szabo ◽  
...  
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Finite Temperature ◽  
Chemical Potential

scholarly journals Lattice QCD Equation of State at Finite Chemical Potential from an Alternative Expansion Scheme

2021 ◽  
Vol 126 (23) ◽  
Author(s):  
S. Borsányi ◽  
Z. Fodor ◽  
J. N. Guenther ◽  
R. Kara ◽  
S. D. Katz ◽  
...  
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Chemical Potential ◽  
Expansion Scheme

EQUATION OF STATE OF ASYMMETRIC NUCLEAR MATTER WITH GOGNY AND COULOMB INTERACTIONS

1990 ◽  
Vol 05 (14) ◽  
pp. 1071-1080 ◽  
Author(s):  
S. W. HUANG ◽  
M. Z. FU ◽  
S. S. WU ◽  
S. D. YANG
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Coulomb Interaction ◽  
Chemical Potential ◽  
Compression Modulus ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Coulomb Interactions ◽  
Asymmetric Nuclear Matter ◽  
Nucleon Nucleon Interaction

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.

scholarly journals Quark Number Susceptibilities and Equation of State in QCD at Finite μB

Proceedings ◽  
2019 ◽  
Vol 13 (1) ◽  
pp. 5
Author(s):  
Saumen Datta ◽  
Rajiv Gavai ◽  
Sourendu Gupta
Keyword(s):  
Equation Of State ◽  
Taylor Series ◽  
Chemical Potential ◽  
Baryon Number ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collider ◽  
Quark Number ◽  
Monte Carlo Studies ◽  
Essential Input ◽  
Beam Energy Scan

One of the main goals of the cold baryonic matter (CBM) experiment at FAIR is to explore the phases of strongly interacting matter at finite temperature and baryon chemical potential μ B . The equation of state of quantum chromodynamics (QCD) at μ B > 0 is an essential input for the CBM experiment, as well as for the beam energy scan in the Relativistic Heavy Ion Collider(RHIC) experiment. Unfortunately, it is highly nontrivial to calculate the equation of state directly from QCD: numerical Monte Carlo studies on lattice are not useful at finite μ B . Using the method of Taylor expansion in chemical potential, we estimate the equation of state, namely the baryon number density and its contribution to the pressure, for two-flavor QCD at moderate μ B . We also study the quark number susceptibilities. We examine the technicalities associated with summing the Taylor series, and explore a Pade resummation. An examination of the Taylor series can be used to get an estimate of the location of the critical point in μ B , T plane.

scholarly journals The equation of state at high temperatures from lattice QCD

2008 ◽  
Author(s):  
Kalman Szabo ◽  
Gergely Endrodi ◽  
Sandor D. Katz ◽  
Zoltan Fodor
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
High Temperatures

scholarly journals The critical points of strongly coupled lattice QCD at nonzero chemical potential

1997 ◽  
Vol 56 (11) ◽  
pp. 7063-7072 ◽  
Author(s):  
Ian M. Barbour ◽  
Susan E. Morrison ◽  
Elyakum G. Klepfish ◽  
John B. Kogut ◽  
Maria-Paola Lombardo
Keyword(s):  
Lattice Qcd ◽  
Critical Points ◽  
Chemical Potential ◽  
Strongly Coupled

scholarly journals Equation of State of a Magnetized Dense Neutron System

Universe ◽  
2019 ◽  
Vol 5 (5) ◽  
pp. 104 ◽  
Author(s):  
Efrain J. Ferrer ◽  
Aric Hackebill
Keyword(s):  
Magnetic Field ◽  
Equation Of State ◽  
Chemical Potential ◽  
Compact Objects ◽  
Field Direction ◽  
Neutron Density ◽  
Magnetic Field Direction ◽  
System Equation ◽  
The One ◽  
The Magnetic Field

We discuss how a magnetic field can affect the equation of state of a many-particle neutron system. We show that, due to the anisotropy in the pressures, the pressure transverse to the magnetic field direction increases with the magnetic field, while the one along the field direction decreases. We also show that in this medium there exists a significant negative field-dependent contribution associated with the vacuum pressure. This negative pressure demands a neutron density sufficiently high (corresponding to a baryonic chemical potential of μ = 2.25 GeV) to produce the necessary positive matter pressure that can compensate for the gravitational pull. The decrease of the parallel pressure with the field limits the maximum magnetic field to a value of the order of 10 18 G, where the pressure decays to zero. We show that the combination of all these effects produces an insignificant variation of the system equation of state. We also found that this neutron system exhibits paramagnetic behavior expressed by the Curie’s law in the high-temperature regime. The reported results may be of interest for the astrophysics of compact objects such as magnetars, which are endowed with substantial magnetic fields.

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