General Relativity and Gravitation

, Volume 33, Issue 3, pp 429-453

Distributional Modes for Scalar Field Quantization

  • Alfonso F. AgnewAffiliated withDepartment of Mathematics, Southern Methodist University
  • , Tevian DrayAffiliated withDepartment of Mathematics, Oregon State University

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We propose a mode-sum formalism for the quantization of the scalar field based on distributional modes, which are naturally associated with a slight modification of the standard plane-wave modes. We show that this formalism leads to the standard Rindler temperature result, and that these modes can be canonically defined on any Cauchy surface.

Klein–Gordon equation quantization