Abstract
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.
Highlights
In the regime of Quantum Chromo Dynamics (QCD), nuclear matter dissolves into a thermalized color deconfined state Quark Gluon Plasma (QGP) under extreme conditions such as very high temperature and/or density
In this paper we consider gluon that propagates in a hot magnetized QCD plasma for which we aim at the general structure of the gauge boson self-energy, the effective propagator and its dispersion property
We have constructed the general structure of two point functions of a gauge boson when it travels through a magnetized thermal medium
Summary
In the regime of Quantum Chromo Dynamics (QCD), nuclear matter dissolves into a thermalized color deconfined state Quark Gluon Plasma (QGP) under extreme conditions such as very high temperature and/or density. Immense activities are in progress to study the properties of strongly interacting matter in presence of an external magnetic field, resulting in the emergence of several novel phenomena [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32] This suggests that there is clearly an increasing demand to study the effects of intense background magnetic fields on various aspects and observables of non-central heavy-ion collisions. In this paper we consider gluon that propagates in a hot magnetized QCD plasma for which we aim at the general structure of the gauge boson self-energy, the effective propagator and its dispersion property. This formalism is applicable to QED system.
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