Abelian Gauge Theory in de Sitter Space

TL;DR

This paper investigates the quantization and interaction of spinor and vector fields in 4D de Sitter space, deriving gauge-invariant equations, conserved currents, and solutions, with discussion on the flat space limit.

Contribution

It provides a coordinate-independent formulation of U(1) gauge theory in de Sitter space and computes explicit two-point functions and solutions for interacting fields.

Findings

Derived gauge-invariant spinor field equations

Computed conserved currents for the fields

Analyzed the null curvature (flat space) limit

Abstract

Quantization of spinor and vector free fields in 4-dimensional de Sitter space-time, in the ambient space notation, has been studied in the previous works. Various two-points functions for the above fields are presented in this paper. The interaction between the spinor field and the vector field is then studied by the abelian gauge theory. The U(1) gauge invariant spinor field equation is obtained in a coordinate independent way notation and their corresponding conserved currents are computed. The solution of the field equation is obtained by use of the perturbation method in terms of the Green's function. The null curvature limit is discussed in the final stage.