2005/06/30 by Z. Haba
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/0305-4470/38/48/010
published as J.Phys.A38:10393-10402,2005 · The version to appear in Journal of Physics A, a discussion on the relation to other works in the field is added
arxiv created 2005/10/20 · openalex publication_date 2005/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We discuss quantum theory of fields ϕ defined on a ( d + 1)-dimensional manifold with a boundary . The free action W 0 (ϕ) which is a bilinear form in ϕ defines the Gaussian measure with a covariance (Green function) . We discuss a relation between the quantum field theory with a fixed boundary condition Φ and the theory defined by the Green function . It is shown that the latter results by an average over Φ of the first. The QFT in anti-de Sitter space is treated as an example. It is shown that quantum fields on the boundary are more regular than those on anti-de Sitter space.