Super-gauge Field in de Sitter Universe

Abstract

The Gupta-Bleuler triplet for vector-spinor gauge field is presented in de Sitter ambient space formalism. The invariant space of field equation solutions is obtained with respect to an indecomposable representation of the de Sitter group. By using the general solution of the massless spin-$\frac{3}{2}$ field equation, the vector-spinor quantum field operator and its corresponding Fock space is constructed. The quantum field operator can be written in terms of the vector-spinor polarization states and a quantum conformally coupled massless scalar field, which is constructed on Bunch-Davies vacuum state. The two-point function is also presented, which is de Sitter covariant and analytic.

21 pages

References in corpus (6)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• "Massless" vector field in de Sitter Universe
• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• Fourier analysis and holomorphic decomposition on the one-sheeted hyperboloid
• Quantum Linear Gravity in de Sitter Universe On Bunch-Davies vacuum state
• "Massless'' Spin-$\frac{3}{2}$ Fields in the de Sitter Space

Cited by in corpus (4)

• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• Quantum Yang-Mills theory in de Sitter ambient space formalism
• Scalar and vector gauges unification in de Sitter ambient space formalism
• Conceptual and technical challenges of quantum gravity