20th LQP Workshop

Foundations and constructive aspects of QFT

June 29-30, 2007


Leipzig University

Claudio Dappiaggi (U Pavia)

Projecting massive scalar fields on null infinity: a step toward an holographic description

In the framework of asymptotically flat spacetimes, future null infinity represents the natural codimension one submanifold where to holographically encode data from a bulk field theory either at a classical and at a quantum level. Such an idea can be implemented almost straightforwardly for massless free fields though the problem is drastically more complicated in the massive case. Even for real scalar fields it does not exist a way to project smooth solutions of the Klein-Gordon equation for compactly supported initial data into a smooth function over null infinity. Exploiting harmonic analysis and Strichartz global norm estimates we propose a possible solution to this problem at least in Minkowski spacetime. Eventually we discuss our construction from the point of view of the holographic principle.

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Info: Rainer Verch
ITP, Universitaet Leipzig
Vor dem Hospitaltore 1
Phone: +49 341 97 32423