The Regularized Hadamard Expansion
Abstract
A local expansion is proposed for twopoint distributions involving an ultraviolet regularization in a fourdimensional globally hyperbolic spacetime. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting regularized Hadamard expansion gives detailed and explicit information on the global dynamics of the regularization effects.
 Publication:

arXiv eprints
 Pub Date:
 August 2017
 arXiv:
 arXiv:1708.04447
 Bibcode:
 2017arXiv170804447F
 Keywords:

 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 Mathematics  Analysis of PDEs
 EPrint:
 27 pages, LaTeX, 3 figures, minor changes (published version)