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1 IMPMC - Institut de minéralogie, de physique des matériaux et de cosmochimie 2 IMJ-PRG - Institut de Mathématiques de Jussieu - Paris Rive Gauche

Abstract : The wavefront set provides a precise description of the singularities of a distribution. Because of its ability to control the product of distributions, the wavefront set was a key element of recent progress in renormalized quantum field theory in curved spacetime, quantum gravity, the discussion of time machines or quantum energy inequalitites. However, the wavefront set is a somewhat subtle concept whose standard definition is not easy to grasp. This paper is a step by step introduction to the wavefront set, with examples and motivation. Many different definitions and new interpretations of the wavefront set are presented. Some of them involve a Radon transform.

Keywords : wave front set quantum field theory renormalization microlocal analysis

Author: Christian Brouder - Nguyen Viet Dang - Frédéric Hélein -

Source: https://hal.archives-ouvertes.fr/


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