  The Fried-Yennie gauge is a covariant gauge for which the mass-shell
renormalization procedure can be performed without introducing spurious
infrared divergences to the theory. It is usually applied in calculations in
regular Quantum-Electrodynamics (QED), but it is particularly interesting to be
employed in the framework of pseudo-QED (PQED), where fermions are constrained
to 2+1 dimensions while external fields interacting with these fermions live in
the bulk of a 3+1 space. In this context, the gauge parameter can be adjusted
to match the power of the external momentum in the denominator of the photon
propagator, simplifying the infrared region without the need of a photon mass.
In this work we apply for the first time this machinery to PQED, generalizing
the procedure to calculate the self energy in arbitrary dimensions, allowing of
course for different dimensionality of fermions and gauge fields.
