scholarly journals Induced charge and electric field in dense magnetized fermionic medium at finite temperature

2019 ◽  
Vol 27 (2) ◽  
pp. 9-16
Author(s):  
E. V. Reznikov ◽  
V. V. Skalozub
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Potential Temperature ◽  
Integral Form ◽  
Dense Medium ◽  
Charge Dependence ◽  
Induced Charge ◽  
The One

The one-photon vertex in presence of strong magnetic field and finite temperature in dense medium is computed, its properties are investigated. Calculations are performed in analytical forms for two cases: at zero temperature and at high temperature. The integral form of the vertex is obtained for a general case. The tensor function is represented as the sum of Feynmanʼs one-loop diagrams. The induced charge dependence on chemical potential, temperature, and strong magnetic field is investigated in detail. The induced potential is calculated for the case of the infinite medium plate.

scholarly journals Effects of strong magnetic field on the formation of wakes in thermal QCD

2021 ◽  
Vol 36 (06) ◽  
pp. 2150045
Author(s):  
Mujeeb Hasan ◽  
Binoy Krishna Patra
Keyword(s):  
Magnetic Field ◽  
Charge Density ◽  
Strong Magnetic Field ◽  
Finite Temperature ◽  
Fast Moving ◽  
The Other ◽  
Other Hand ◽  
Induced Charge Density ◽  
Induced Charge ◽  
The Magnetic Field

We have investigated how the wakes in the induced charge density and in the potential due to the passage of highly energetic partons through a thermal QCD medium get affected by the presence of strong magnetic field [Formula: see text]. For that purpose, we wish to analyze first the dielectric responses of the medium both in presence and absence of strong magnetic field. Therefore, we have revisited the general form for the gluon self-energy tensor at finite temperature and finite magnetic field and then calculate the relevant structure functions at finite temperature and strong magnetic field limit (SMF: [Formula: see text] as well as [Formula: see text], [Formula: see text] is the electric charge (mass) of [Formula: see text]th flavor). We found that for slow moving partons, the real part of dielectric function is not affected by the magnetic field whereas for fast moving partons, for small [Formula: see text], it becomes very large and approaches towards its counterpart at [Formula: see text], for large [Formula: see text]. On the other hand the imaginary part is decreased for both slow and fast moving partons, due to the fact that the imaginary contribution due to quark loop vanishes. With these ingredients, we found that the oscillation in the (scaled) induced charge density, due to the very fast partons becomes less pronounced in the presence of strong magnetic field whereas for smaller parton velocity, no significant change is observed. For the (scaled) wake potential along the motion of fast moving partons (which is of Lennard–Jones (LJ-)type), the depth of negative minimum in the backward region gets reduced drastically, resulting in the reduction of the amplitude of oscillation. On the other hand in the forward region, it remains as the screened Coulomb one, except the screening now becomes much stronger for higher parton velocity. Similarly for the wake potential transverse to the motion of partons in both forward and backward regions, the depth of LJ potential for fast moving partons gets decreased severely, but still retains the forward–backward symm etry. However, for lower parton velocity, the magnetic field does not affect it significantly.

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.

PHASE TRANSITIONS IN THE ABELIAN HIGGS MODEL AT FINITE DENSITIES

1991 ◽  
Vol 06 (23) ◽  
pp. 4063-4076 ◽  
Author(s):  
V.J. PETER ◽  
M. SABIR
Keyword(s):  
Phase Transitions ◽  
Density Dependence ◽  
Gauge Invariance ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Higgs Model ◽  
Coupling Constants ◽  
Abelian Higgs Model ◽  
Multiple Phase ◽  
The One

We study the U(1)-invariant Abelian Higgs model at a finite temperature and a finite chemical potential, at the one-loop level of approximation, and show the existence of chemical-potential-induced multiple-phase transitions at finite temperatures. The temperature and density dependence of the coupling constants is also analyzed. The gauge invariance of the results obtained is demonstrated.

scholarly journals Thermoelectric properties of the (an-)isotropic QGP in magnetic fields

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
He-Xia Zhang ◽  
Jin-Wen Kang ◽  
Ben-Wei Zhang
Keyword(s):  
Magnetic Field ◽  
Seebeck Coefficient ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Electric Fields ◽  
Chemical Potential ◽  
Thermal Structure ◽  
Transport Coefficients ◽  
Transverse Motion ◽  
Thermoelectric Transport

AbstractThe Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis ($$E_{x}$$ E x and $$E_{y}$$ E y ), respectively, induced by the thermal gradient along x-axis, are studied in the QGP at an external magnetic field along z-axis. We calculate the associated Seebeck coefficient ($$S_{xx}$$ S xx ) and Nernst signal (N) using the relativistic Boltzmann equation under the relaxation time approximation. In an isotropic QGP, the influences of magnetic field (B) and quark chemical potential ($$\mu _{q}$$ μ q ) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find $$S_{xx}$$ S xx for a fixed $$\mu _{q}$$ μ q is negative (positive) in sign, indicating that the dominant carriers for converting heat gradient to electric field are negatively (positively) charged quarks. The absolute value of $$S_{xx}$$ S xx decreases with increasing temperature. Unlike $$S_{xx}$$ S xx , the sign of N is independent of charge carrier type, and its thermal behavior displays a peak structure. In the presence of strong magnetic field, due to the Landau quantization of transverse motion of (anti-)quarks perpendicular to magnetic field, only the longitudinal Seebeck coefficient ($$S_{zz}$$ S zz ) exists. Our results show that the value of $$S_{zz}$$ S zz at a fixed $$\mu _{q}$$ μ q in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, $$S_{zz}$$ S zz exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, $$S_{zz}$$ S zz decreases and even its sign changes from positive to negative. The computations of these thermoelectric transport coefficients are also extended to a medium with momentum-anisotropy induced by initial spatial expansion as well as strong magnetic field.

scholarly journals Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Shubhalaxmi Rath ◽  
Binoy Krishna Patra
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Electrical Conductivity ◽  
Transport Properties ◽  
Strong Magnetic Field ◽  
Knudsen Number ◽  
Thermal Transport ◽  
Isotropic Medium ◽  
Chemical Potential ◽  
Lorenz Number

Abstract We have studied the effect of strong magnetic field on the charge and thermal transport properties of hot QCD matter at finite chemical potential. For this purpose, we have calculated the electrical conductivity ($$\sigma _\mathrm{el}$$σel) and the thermal conductivity ($$\kappa $$κ) using kinetic theory in the relaxation time approximation, where the interactions are subsumed through the distribution functions within the quasiparticle model at finite temperature, strong magnetic field and finite chemical potential. This study helps to understand the impacts of strong magnetic field and chemical potential on the local equilibrium by the Knudsen number ($$\Omega $$Ω) through $$\kappa $$κ and on the relative behavior between thermal conductivity and electrical conductivity through the Lorenz number (L) in the Wiedemann–Franz law. We have observed that, both $$\sigma _\mathrm{el}$$σel and $$\kappa $$κ get increased in the presence of strong magnetic field, and the additional presence of chemical potential further increases their magnitudes, where $$\sigma _\mathrm{el}$$σel shows decreasing trend with the temperature, opposite to its increasing behavior in the isotropic medium, whereas $$\kappa $$κ increases slowly with the temperature, contrary to its fast increase in the isotropic medium. The variation in $$\kappa $$κ explains the decrease of the Knudsen number with the increase of the temperature. However, in the presence of strong magnetic field and finite chemical potential, $$\Omega $$Ω gets enhanced and approaches unity, thus, the system may move slightly away from the equilibrium state. The Lorenz number ($$\kappa /(\sigma _\mathrm{el} T))$$κ/(σelT)) in the abovementioned regime of strong magnetic field and finite chemical potential shows linear enhancement with the temperature and has smaller magnitude than the isotropic one, thus, it describes the violation of the Wiedemann–Franz law for the hot and dense QCD matter in the presence of a strong magnetic field.

Effect of strong magnetic field on chemical potential and electron capture in magnetar

2010 ◽  
Vol 19 (9) ◽  
pp. 099701 ◽  
Author(s):  
Gao Jie ◽  
Luo Zhi-Quan ◽  
Liu Wei-Wei ◽  
Li Gang
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Electron Capture ◽  
Chemical Potential

PHASE TRANSITIONS IN ϕ4 THEORY AT FINITE DENSITIES

1989 ◽  
Vol 04 (08) ◽  
pp. 783-789 ◽  
Author(s):  
V.J. PETER ◽  
M. SABIR
Keyword(s):  
Phase Transitions ◽  
Effective Mass ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Coupling Constant ◽  
Effective Coupling ◽  
Effective Coupling Constant ◽  
The One

We study the effective mass and effective coupling constant of a self interacting O(2) symmetric ϕ4 model at finite temperature and finite chemical potential in the one-loop and improved one-loop approximations. It is shown that the restored symmetry at a finite chemical potential is again broken at a higher value of chemical potential.

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