scholarly journals Gluon polarization tensor in a magnetized medium: Analytic approach starting from the sum over Landau levels

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Alejandro Ayala ◽  
Jorge David Castaño-Yepes ◽  
M. Loewe ◽  
Enrique Muñoz
Keyword(s):  
Landau Levels ◽  
Analytic Approach ◽  
Polarization Tensor ◽  
Gluon Polarization

scholarly journals SLAVNOV–TAYLOR IDENTITY FOR NONEQUILIBRIUM QUARK–GLUON PLASMA

2001 ◽  
Vol 16 (08) ◽  
pp. 531-540 ◽  
Author(s):  
K. OKANO
Keyword(s):  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Polarization Tensor ◽  
Gluon Polarization ◽  
Time Path

Within the closed-time-path formalism of nonequilibrium QCD, we derive a Slavnov–Taylor (ST) identity for the gluon polarization tensor. The ST identity takes the same form in both Coulomb and covariant gauges. Application to quasi-uniform quark–gluon plasma (QGP) near equilibrium or nonequilibrium quasistationary QGP is made.

scholarly journals Gluon polarization tensor and dispersion relation in a weakly magnetized medium

2021 ◽  
Vol 57 (4) ◽  
Author(s):  
Alejandro Ayala ◽  
Jorge David Castaño-Yepes ◽  
L. A. Hernández ◽  
Jordi Salinas San Martín ◽  
R. Zamora
Keyword(s):  
Dispersion Relation ◽  
Polarization Tensor ◽  
Gluon Polarization

scholarly journals Gluon polarization tensor in color magnetic background

2006 ◽  
Vol 45 (1) ◽  
pp. 159-178 ◽  
Author(s):  
M. Bordag ◽  
V. Skalozub
Keyword(s):  
Polarization Tensor ◽  
Gluon Polarization

scholarly journals Thermal corrections to the gluon magnetic Debye mass

2020 ◽  
Vol 66 (4 Jul-Aug) ◽  
pp. 446
Author(s):  
Alejandro Ayala ◽  
Jorge David Castaño-Yepes ◽  
C. A. Dominguez ◽  
S. Hernández-Ortiz ◽  
L. A. Hernández ◽  
...  
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Quark Mass ◽  
Proper Time ◽  
Energy Scale ◽  
Parallel Structure ◽  
Polarization Tensor ◽  
Magnetic Field Effects ◽  
Gluon Polarization ◽  
Debye Mass

We compute the gluon polarization tensor in a thermo-magnetic environment in thestrong magnetic field limit at zero and high temperature. The magnetic field effects are introduced using Schwinger's proper time method. Thermal effects are computed in the HTL approximation. At zero temperature, we reproduce the well-known result whereby for a non-vanishing quark mass, the polarization tensor reduces to the parallel structure and its coefficient develops an imaginary part corresponding to the threshold for quark-antiquark pair production. This coefficient is infrared finite and simplifies considerably when the quark mass vanishes. Keeping always the field strength as the largest energy scale, in the high temperature regime we analyze two complementary hierarchies of scales: $q^2<< m_f^2<< T^2$ and $m_f^2<< q^2<< T^2$. In the latter, we show that the polarization tensor is infrared finite as $m_f$ goes to zero. In the former, we discuss the thermal corrections to the magnetic Debye mass.

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