"Spectral Theory and Mathematical Physics"
In honor of Vladimir Georgescu
Cergy-Pontoise, June 21-24, 2016.
Photo Credit: Cergy - Axe majeur,
www.cergypontoise.fr/jcms/p2_85721/fr/le-patrimoine-moderne
| Program Spyros Alexakis Kaïs Ammari Jean-Marc Bouclet Jan Derezinski Clotilde Fermanian Kammerer Christian Gérard Sylvain Golénia Dietrich Häfner Matti Lassas Mathieu Lewin Jacob Schach Moller Francis Nier Victor Nistor Benoit Pausader Main page |
Christian Gérard: Aspects of Quantum Field Theory in blackhole spacetimes Abstract: We will first present the algebraic formalism of free quantum Klein-Gordon fields in general curved spacetimes, emphasizing the difficulties caused by the absence of a reference vacuum state. We will then illustrate the ambiguity of the notion of vacuum state by two emblematic effects in QFT on curved spacetimes, the Unruh effect and the Hawking effect. The Hawking effect leads to the notion of the Hawking temperature of a blackhole, related to its surface gravity through the construction of the Hartle-Hawking state on a blackhole spacetime. We will present a new point of view on the Hartle-Hawking state, which allows to greatly simplify its construction. |
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