Neutral gluon polarization tensor in color magnetic background at finite temperature
arXiv:hep-th/0611256 · doi:10.1103/PhysRevD.75.125003
Abstract
In the framework of SU(2) gluodynamics, we derive the tensor structure of the neutral gluon polarization tensor in an Abelian homogeneous magnetic field at finite temperature and calculate it in one-loop approximation in the Lorentz background field gauge. The imaginary time formalism and the Schwinger operator method are used. The latter is extended to the finite temperature case. The polarization tensor turns out to be non transversal. It can be written as a sum of ten tensor structures with corresponding form factors. Seven tensor structures are transversal, three are not. We represent the form factors in terms of double parametric integrals and the temperature sum which can be computed numerically. As applications we calculate the Debye mass and the magnetic mass of neutral gluons in the background field at high temperature. A comparison with the results of other authors is done.
arXiv comment32 pages
References in corpus (13)
- The Magnetized Universe
- Ferromagnetic Vacuum and Galactic Magnetic Fields
- Color Reflection Invariance and Monopole Condensation in QCD
- Thermal gluo-magnetic vacuum of SU(N) gauge theory
- Abelian chromomagnetic fields and confinement
- Once More on a Colour Ferromagnetic Vacuum State at Finite Temperature
- Color Dynamics in External Fields
- Probing the non-perturbative dynamics of SU(2) vacuum
- On generation of Abelian magnetic fields in SU(3) gluodynamics at high temperature
- Gluon polarization tensor in color magnetic background
- The spontaneous generation of magnetic fields at high temperature in SU(2)-gluodynamics on a lattice
- Non-transversality of the gluon polarization tensor in a chromomagnetic background
- SELF-ENERGY PECULIARITIES OF THE HOT GAUGE THEORY AFTER SYMMETRY BREAKING
Cited by in corpus (7)
- Polarization tensor of charged gluons in color magnetic background field at finite temperature
- Long range chromomagnetic fields at high temperature
- Vacuum superconductivity, conventional superconductivity and Schwinger pair production
- Groundstate projection of the charged SU(2) polarization tensor in a chromomagnetic background field
- Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields
- Spontaneous magnetization of the vacuum and the strength of the magnetic field in the hot Universe
- Lower bound on the magnetic field strength in the hot universe