Speaker
Claudio Dappiaggi
Description
Goal of this lecture is to introduce the audience
to the algebraic quantization of field theories as first
formulated by
Haag and Kastler. Particular emphasis will be given to
the principle
of general local covariance and to the existence of an
explicit
characterization for physically relevant quantum states:
the Hadamard
condition. These states will be discussed both from a
mathematical and
from a physical point of view. Furthermore, it will be
shown that, in
the case of free field theories, a novel application of an
holographic
procedure allows to construct them explicitly on a wide
variety of
backgrounds, including the cosmological ones.
