"Massless" vector field in de Sitter Universe

Abstract

In the present work the massless vector field in the de Sitter (dS) space has been quantized. "Massless" is used here by reference to conformal invariance and propagation on the dS light-cone whereas "massive" refers to those dS fields which contract at zero curvature unambiguously to massive fields in Minkowski space. Due to the gauge invariance of the massless vector field, its covariant quantization requires an indecomposable representation of the de Sitter group and an indefinite metric quantization. We will work with a specific gauge fixing which leads to the simplest one among all possible related Gupta-Bleuler structures. The field operator will be defined with the help of coordinate independent de Sitter waves (the modes) which are simple to manipulate and most adapted to group theoretical matters. The physical states characterized by the divergencelessness condition will for instance be easy to identify. The whole construction is based on analyticity requirements in the complexified pseudo-Riemanian manifold for the modes and the two-point function.

33 pages, 3 figures

References in corpus (8)

• Two-point Functions and Quantum Fields in de Sitter Universe
• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
• Massive Spin-2 Field in De Sitter Space
• "Massive" vector field in de Sitter space
• De Sitter Waves and the Zero Curvature Limit
• The asymptotic symmetry of de Sitter spacetime
• Conformally related massless fields in dS, AdS and Minkowski spaces
• Gauge Theories on de Sitter space and Killing Vectors

Cited by in corpus (44)

• Conformally Invariant "Massless" Spin-2 Field in de Sitter Universe
• Conformal linear gravity in de Sitter space
• QED effective action in Krein space quantization
• Scalar effective action in Krein space quantization
• The nature of $\Lambda$ and the mass of the graviton: A critical view
• Conformally covariant quantization of Maxwell field in de Sitter space
• Global existence of the self-interacting scalar field in the de Sitter universe
• Casimir Effect For a Scalar Field via Krein Quantization
• Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
• Linear Weyl Gravity in de Sitter Universe
• Covariant and infrared-free graviton two-point function in de Sitter spacetime
• Conformal linear gravity in de Sitter space II
• Covariant and infrared-free graviton two-point function in de Sitter spacetime II
• Electromagnetic Casimir effect for conducting plates in de Sitter spacetime
• "Massless" spin-2 field in de Sitter space
• Vacuum states for gravitons field in de Sitter space
• Super-gauge Field in de Sitter Universe
• Covariant Quantization of "Massive" Spin-3/2 Fields in the de Sitter Space
• Quantum Yang-Mills theory in de Sitter ambient space formalism
• Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime
• `Hidden' symmetry of linearized gravity in de Sitter space
• Auxiliary "massless" spin-2 field in de Sitter universe
• The Krein-Gupta-Bleuler Quantization in de Sitter Space-time; Casimir Energy-Momentum Tensor for a Curved Brane
• Asymptotic states and $S$-matrix operator in de Sitter ambient space formalism
• Scalar and vector gauges unification in de Sitter ambient space formalism
• A Group Theoretical Approach to Graviton Two-Point Function
• Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
• Quantum Linear Gravity in de Sitter Universe On Gupta-Bleuler vacuum state
• "Massive" Rarita-Schwinger field in de Sitter space
• Axiomatic de Sitter quantum Yang-Mills theory with color confinement and mass gap
• Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime
• Electromagnetic Casimir densities for a cylindrical shell on de Sitter space
• de Sitter field equations from quadratic curvature gravity: A group theoretical approach
• Electron-photon interaction in de Sitter ambient space formalism
• A brief review on the Problem of Divergence in Krein Space Quantization
• Polarization tensor in de Sitter gauge gravity
• Quantum de Sitter geometry
• Conceptual and technical challenges of quantum gravity
• "Massless'' Spin-$\frac{3}{2}$ Fields in the de Sitter Space
• A Novel Holographic Framework Preserving Reflection Positivity in dS${}_d$ Spacetime
• Euler-Heisenberg lagrangian through Krein regularization
• Photon decaying in de Sitter universe
• Interaction of massless minimally coupled scalar field with spinor field in de Sitter universe
• A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry