On the structure of the vacuum state in general boundary quantum field theory

Abstract

We quantize a real massive Klein-Gordon field in curved spacetimes within the general boundary formulation. The vacuum wave function is given by a Gaussian in the Schrödinger representation and we study the general structure of the operator appearing in the Gaussian. We show that it obeys a Riccati equation and we provide the general solution.

arXiv comment10 pages, LaTeX + revtex4

Cited by in corpus (5)

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• The Unruh Effect in General Boundary Quantum Field Theory
• Quantum field theory on timelike hypersurfaces in Rindler space
• The S-matrix in Schrödinger Representation for Curved Spacetimes in General Boundary Quantum Field Theory