ABSTRACT
This chapter is devoted to the problems of quantum field theory renormalization in curved space-time with torsion. It considers the general aspects of quantum field theory renormalization in curved space-time with torsion. The chapter presents the necessary information about the metric-torsion gravity. It describes the structure of minimal and non-minimal interaction with torsion. The chapter investigates renormalization group equations for non-minimal effective couplings. It also considers the renormalization of the interacting theory in an external gravitational field with torsion. One of the possible developments in general relativity is connected with the torsion field which is used for the description of gravity with a metric. It is well-known that in general relativity matter interacts with the gravitational field only through the energy-momentum tensor. The chapter shows that the effective value of essential non-minimal matter-torsion couplings is caused by the radiative corrections. It utilizes the renormalization group method to investigate the asymptotic behaviour of the non-minimal effective couplings in the uv limit.
