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The Hadamard Construction of Green's Functions on a Curved Space‐Time with Symmetries
Author(s) -
John R. W.
Publication year - 1987
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19874990710
Subject(s) - propagator , hadamard transform , mathematical physics , homogeneous space , physics , curved space , invariant (physics) , feynman diagram , scalar (mathematics) , mathematical analysis , mathematics , quantum mechanics , geometry
The Hadamard constituents of Green's functions for a ζ‐parametrized generalization of the massless scalar d'Alembert equation to a curved space‐time including the conformally invariant wave equation: the world function of space‐time, the transport scalar, and the tail‐term coefficients, being simultaneously coefficients in the Schwinger‐DeWitt expansion of the Feynman propagator for the corresponding invariant Klein‐Gordon equation, are considered on a general static spherically symmetric and (2,2)‐decomposable metric. The construction equations determining the Hadamard building elements are cast into a symmetry‐adapted form and used to obtain, on a specific model metric, exact explicit solutions.