Renormalizable Cosmology Based on Gauss-Bonnet Theory with Torsion

Abstract

This paper focuses on renormalizable cosmology based on the Gauss-Bonnet theory with torsion. Within the framework of renormalizable quantum field theory, we study the matter field containing the Gauss-Bonnet correction term. By modifying the gauge model, which includes a charged scalar field and two families of fermions, and introducing torsion and Gauss-Bonnet corrections, we analyze the field equations in the super-symmetric hybrid inflation model, investigate the properties of torsion in a flat universe, the characteristics of the energy-momentum tensor, and the sensitivity of the theoretical model to correction parameters. This study shows that the Gauss-Bonnet correction term can directly affect the Hubble constant through the Einstein equations, providing a new observational perspective. This paper proposes a cosmological model that can be adjusted according to different Gauss-Bonnet correction models, providing a theoretical reference for future observational verification of various Gauss-Bonnet models.