Unified Gauge Models and One-Loop Quantum Cosmology

TL;DR

This paper investigates the normalizability of the one-loop wave function of the universe in de Sitter space across different unified gauge models, highlighting the preference for supersymmetric models without inflaton-matter interaction and non-supersymmetric models with interaction.

Contribution

It provides a comparative analysis of supersymmetric and non-supersymmetric unified gauge models in quantum cosmology based on normalizability criteria at one-loop order.

Findings

Supersymmetric models are preferred without inflaton-matter interaction.

Interaction between inflaton and matter fields favors non-supersymmetric models.

Normalizability at one-loop order constrains the choice of gauge models.

Abstract

This paper studies the normalizability criterion for the one-loop wave function of the universe in a de Sitter background, when various unified gauge models are considered. It turns out that, in the absence of interaction between inflaton field and other matter fields, the supersymmetric version of such unified models is preferred. By contrast, the interaction of inflaton and matter fields, jointly with the request of normalizability at one-loop order, picks out non-supersymmetric versions of unified gauge models.