Gluon polarization tensor in color magnetic background

Abstract

In SU(2) gluodynamics we calculate the gluon polarization tensor in an Abelian homogeneous magnetic field in one-loop order in the Lorentz background field gauge. It turned out to be non transversal and consisting of ten tensor structures and corresponding form factors - four in color neutral and six in color charged sector. Seven tensor structures are transversal, three are not. The non transversal parts are obtained by explicit calculation. We represent the form factors in terms of double parametric integrals which can be computed numerically. Some examples are provided and possible applications are discussed.

A number of misprints is corrected

References in corpus (1)

• The polarization tensor of neutral gluons in external fields at high temperature

Cited by in corpus (8)

• Polarization tensor of charged gluons in color magnetic background field at finite temperature
• Neutral gluon polarization tensor in color magnetic background at finite temperature
• Long range chromomagnetic fields at high temperature
• Photon-graviton mixing in an electromagnetic field
• Non-transversality of the gluon polarization tensor in a chromomagnetic background
• Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields
• Groundstate projection of the charged SU(2) polarization tensor in a chromomagnetic background field
• Energy States of Colored Particle in a Chromomagnetic Field