Perennials and the Group-Theoretical Quantization of a Parametrized Scalar Field on a Curved Background

摘要: The perennial formalism is applied to the real, massive Klein–Gordon field on a globally‐hyperbolic background space–time with compact Cauchy hypersurfaces. parametrized form of this system taken over from accompanying paper. Two different algebras Scan and Sloc elementary perennials are constructed. elements correspond usual creation annihilation operators for particle modes quantum theory, whereas those smeared fields. Both shown have structure Heisenberg algebra, corresponding groups described. Time evolution constructed using transversal surfaces time shifts in phase space. Important roles played by associated embeddings hypersurface space–time, that generated isometries. automorphisms particular type shift calculated explicitly. constructi...