Event

Talk
A unified quantum theory: gravity interacting with Yang-Mills and spinor fields
Claus Gerhardt (Heidelberg)
16 Jul 2014, 15:15 – 16:15

We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces of nature. Using canonical quantization we obtain solutions of the Wheeler-DeWitt equation in a vector bundle and the method of second quantization leads to a symplectic vector space (V,ω) and a corresponding CCR representation for the bosonic components and a CAR relation for the fermionic part. The solution space of the Wheeler-DeWitt equation is invariant under gauge transformations and under isometries in the spacelike base space S0 of a given Riemannian metric �ij. We also define a net of local subalgebras which satisfy four of the Haag-Kastler axioms.