Spinor Green's functions via spherical means on products of space forms

Abstract

We explicitly compute the Green's function of the spinor Klein-Gordon equation on the Riemannian and Lorentzian manifolds of the form $M_0\times ...\times M_N$, with each factor being a space of constant sectional curvature. Our approach is based on an extension of the method of spherical means to the case of spinor fields and on the use of Riesz distributions.

15 pages.

References in corpus (6)

• A Holographic Framework for Eternal Inflation
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Fermionic alpha-vacua
• Gravitino Propagator in anti de Sitter space
• Gaugino mass in AdS space
• Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces