ELFT HÍRADÓ

[Balog Janos <balog.janos AT wigner.mta.hu>]

RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk



                                      Etesi Gábor
                                        (BME)



             "Gravity as a four dimensional algebraic quantum field 
theory"


                címmel tartandó szemináriumára.


Kivonat:

In this talk a unitary representation of the orientation-preserving
diffeomorphism group of an oriented 4-manifold is exhibited. More 
precisely the resulting representation space is a Banach space equipped 
with a non-degenerate indefinite Hermitian scalar product and as a 
vector space admits a family of corresponding direct sum decompositions 
into orthogonal pairs of maximal definite Hilbert subspaces. It is 
observed that the associated "net of algebras of local quantum 
observables" on this representation space in the sense of algebraic 
quantum field theory contains curvature tensors. Classical vacuum 
gravitational fields i.e., Einstein manifolds correspond to quantum 
observables obeying at least one of the above decompositions of the 
space. General local quantum observables of this theory are also 
investigated.

In this way classical general relativity exactly in 4 dimensions 
naturally embeds into an algebraic quantum field theory possessing a 
diffeomorphism group symmetry and this theory is constructed out of the 
structures provided by an oriented 4-manifold only.


Helye: Wigner FK RMI III.ép. Tanácsterem
Ideje: 2014. április 11. péntek du. 14:00 óra



Szívesen látunk minden érdeklődőt.
                                            Balog János