1993/02/02 by G. W. Gibbons, H. J. Pohle, H.-J. Pohle · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #gr-qc
paper · pdf · doi:10.1016/0550-3213(93)90575-a
published as Nucl.Phys.B410:117-142,1993 · 27 pages LATEX, UCSBTH-93-03
arxiv created 1993/02/02 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A basic problem in quantizing a field in curved space is the decomposition of the classical modes in positive and negative frequency. The decomposition is equivalent to a choice of a complex structure in the space of classical solutions. In our construction the real tunneling geometries provide the link between the this complex structure and analytic properties of the classical solutions in a Riemannian section of space. This is related to the Osterwalder- Schrader approach to Euclidean field theory.