2019/10/03 by Buchbinder, Iosif L., Andreza Rairis Rodrigues, Rodrigues, Andreza Rairis +4
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.1910.01731
openalex publication_date 2019/10/03 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
We study the Yukawa model with one scalar and one axial scalar fields,\ncoupled to N copies of Dirac fermions, in curved spacetime background. The\ntheory possesses a reach set of coupling constants, including the scalar terms\nwith odd powers of scalar fields in the potential, and constants of non-minimal\ncoupling of the scalar fields to gravity. Using the heat-kernel technique and\ndimensional regularization, we derive the one-loop divergences, describe the\nrenormalization of the theory under consideration and calculate the full set of\nbeta- and gamma-functions for all coupling constants and fields. As a next\nstep, we construct the renormalized one-loop effective potential of the scalar\nfields up to the terms linear in scalar curvature. This calculation includes\nonly the contributions from quantum scalar fields, and is performed using\ncovariant cut-off regularization and local momentum representation. Some\ndifficulties of the renormalization group approach to the effective potential\nin the case under consideration are discussed.\n