  We estimate the thermoelectric response, namely, the Seebeck and Nernst
coefficients of a hot and deconfined plasma of quarks and gluons, created post
ultrarelativistic heavy ion collisions in the presence of a weak, homogeneous
background magnetic field. We employ the kinetic theory framework, wherein we
use the relativistic Boltzmann transport equation in the relaxation time
approximation. In-medium interactions are taken into account via the
quasiparticle masses of the partons extracted from one loop perturbative
thermal QCD. We calculate the individual and total Seebeck coefficients in 2
different approaches (1-D and 2-D formulations). In the 1-D analysis, we find
that a larger current quark mass has an amplifying effect on the individual
Seebeck coefficient in the presence of a weak magnetic field. The temperature
sensitivities of the individual Seebeck coefficients increase with increase in
the current mass of the quark species in the case of a weak magnetic field
whereas the same records a decreasing trend in the presence of a strong
magnetic field. The variation of individual and total Seebeck coefficients with
temperature, chemical potential and background magnetic field are found to
follow similar trends in both the approaches, viz. decrease in magnitude with
increasing temperature and increase in magnitude with increase in chemical
potential and magnetic field. We also calculate the individual and total Nernst
coefficients (in 2-D formulation) which are found to decrease with both
temperature and chemical potential and increase with the magnetic field.
Further, we find that the sign of the Nernst coefficient is independent of the
electric charge of the charge carrier of the medium.
