Polarized vector bosons on the de Sitter expanding universe

Abstract

The quantum theory of the vector field minimally coupled to the gravity of the de Sitter spacetime is built in a canonical manner starting with a new complete set of quantum modes of given momentum and helicity derived in the moving chart of conformal time. It is shown that the canonical quantization leads to new vector propagators which satisfy similar equations as the propagators derived by Tsamis and Woodard [{\em J.Math.Phys.} {\bf 48} (2007) 052306] but having a different structure. The one-particle operators are also written down pointing out that their properties are similar with those found already in the quantum theory of the scalar, Dirac and Maxwell free fields.

17 pages no figures

References in corpus (9)

• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Two Loop Scalar Bilinears for Inflationary SQED
• A Maximally Symmetric Vector Propagator
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• The quantum theory of the free Maxwell field on the de Sitter expanding universe
• The quantum theory of scalar fields on the de Sitter expanding universe
• New Dirac quantum modes in moving frames of the de Sitter spacetime
• The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
• Dissipation and nonlocality in a general expanding braneworld universe

Cited by in corpus (11)

• The quantum theory of the free Maxwell field on the de Sitter expanding universe
• The physical meaning of the de Sitter invariants
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
• Covariant representations of the de Sitter isometry group
• The free Dirac spinors of the spin basis on the de Sitter expanding universe
• Production of Z bosons and neutrinos in early universe
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe
• Green's function of the Vector fields on DeSitter Background
• Flat limit of the de Sitter QFT in the rest frame vacuum
• Reply to the "Comment on Fermion production in a magnetic field in a de Sitter Universe"