Objective
The unification of gravity and quantum physics is one of the main challenges of modern physics. A first step toward this aim would be the construction of interacting quantum field theories (QFT) on fixed classical gravitational backgrounds. Recently, in collaboration with Prof. K. Fredenhagen and Dr. M. Kohler, we stated what we call the 'microlocal spectrum condition' for selecting physical states. The condition is not empty since quasi-free Hadamard states satisfy it and with its use we proved, for the first time in this field, that the Wick polynomials of free fields are Wightman fields.
In QFT on flat spaces several perturbative schemes have been developed and we follow now that of Epstein and Glaser. They construct and rigourously prove that each term of the perturbation series exists and fulfils locality, the main first principle of QFT.
Our proposal is to generalize Epstein and Glaser scheme to curved space-times.
Some preliminary attempts seem to indicate that our aim is reasonable since even for manifolds some of the steps in Epstein and Glaser work can be defined. In fact we are planning to use our previous work which ensures the existence of Wick polynomials and deals correctly with the spectrum condition on manifolds. However, several points are yet to be checked. Whence the existence of a renormalized perturbation theory is established, local renormalization conditions have to be found which fix the finite renormalization. Effects of curvature on observables quantities might be estimated and compared to esperiments.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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Coordinator
22761 Hamburg
Germany
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