https://doi.org/10.1140/epjc/s10052-019-7154-0
Regular Article - Theoretical Physics
General structure of gauge boson propagator and its spectra in a hot magnetized medium
1
Theory Division, Saha Institute of Nuclear Physics, HBNI, 1/AF, Bidhannagar, Kolkata, 700064, India
2
Departamento de Física, Universidade Federal de Santa Maria, Santa Maria, RS, 97105-900, Brazil
3
School of Physical Sciences, National Institute of Science Education and Research, HBNI, Khurda, Jatni, 752050, India
4
Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392, Giessen, Germany
* e-mail: bithika.karmakar@saha.ac.in
Received:
24
January
2019
Accepted:
18
July
2019
Published online:
7
August
2019
Based on transversality condition of gauge boson self-energy we have systematically constructed the general structure of the gauge boson two-point functions using four linearly independent basis tensors in presence of a nontrivial background i.e. hot magnetized material medium. The hard thermal loop approximation has been used for the heat bath to compute various form factors associated with the gauge boson’s two point functions both in strong and weak field approximation. We have also analyzed the dispersion of a gauge boson (e.g., gluon) using the effective propagator both in strong and weak magnetic field approximation. The formalism is also applicable to QED. The presence of only thermal background leads to a longitudinal (plasmon) mode and a two fold degenerate transverse mode. In presence of a hot magnetized background medium the degeneracy of the two transverse modes is lifted and one gets three quasiparticle modes. In weak field approximation one gets two transverse modes and one plasmon mode. On the other hand, in strong field approximation also one gets the three modes in Lowest Landau Level. The general structure of two-point function may be useful for computing the thermo-magnetic correction of various quantities associated with a gauge boson.
© The Author(s), 2019
