Large-distance behaviour of the massless vector two-point function in de Sitter spacetime

Abstract

We study the long-distance behaviour of the massless vector propagator in (n)-dimensional de Sitter spacetime, where $n\ge 4$. Specifically, we consider the massless limit of the vector propagator in the Stueckelberg theory, which is an extension of Proca theory, with an additional gauge-fixing term. We work to leading order in the de Sitter-invariant distance $Z$ to show that, in the large $Z$ limit, this propagator tends to a gauge dependent constant, where the gauge worked in is described by the Stueckelberg parameter $\xi$. In the Landau gauge, where $\xi =0$, this constant is found to be 0. This result is in agreement with the 4 dimensional case discussed by Youssef.

14 pages, no figures, to appear in a Special Issue of the IJMPD on Selected Papers of the III Amazonian Symposium on Physics

References in corpus (3)

• A Maximally Symmetric Vector Propagator
• Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors
• Infrared behavior and gauge artifacts in de Sitter spacetime: The photon field

Cited by in corpus (3)

• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Even the photon propagator must break de Sitter symmetry
• Photon propagator for inflation in the general covariant gauge