Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties

By W. Junker, Elmar Schrohe. 2001

140 citations recorded by the source corpus.

Abstract. Adiabatic vacuum states are a well-known class of physical states for linear quantum fields on Robertson-Walker spacetimes. We extend the definition of adiabatic vacua to general spacetime manifolds by using the notion of the Sobolev wavefront set. This definition is also applicable to interacting field theories. Hadamard states form a special subclass of the adiabatic vacua. We analyze physical properties of adiabatic vacuum representations of the Klein-Gordon field on globally hyperbolic spacetime manifolds (factoriality, quasiequivalence, local definiteness, Haag duality) and construct them explicitly, if the manifold has a compact Cauchy surface.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b8783ee3596ea67323fff6311da31aa283306beb

Citations in the corpus

• Renormalized Quantum Yang-Mills Fields in Curved Spacetime (2007, unknown): “This can be shown as follows using the following constructi on by [46], which in turn builds on results of [78]: On the 3-dimensional compact Riem annian spacetime (Σ,h), we consider a complete set of eigenfunctions of the corresponding scalar Laplace-operator ∆h = dΣδΣ, ∆hφk = −ν(S,k)(2)φk , (305)”