Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-05-10
Class.Quant.Grav. 15 (1998) 1487-1512
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26p, LATEX
Scientific paper
10.1088/0264-9381/15/6/006
We extend the recently developed kinematical framework for diffeomorphism invariant theories of connections for compact gauge groups to the case of a diffeomorphism invariant quantum field theory which includes besides connections also fermions and Higgs fields. This framework is appropriate for coupling matter to quantum gravity. The presence of diffeomorphism invariance forces us to choose a representation which is a rather non-Fock-like one : the elementary excitations of the connection are along open or closed strings while those of the fermions or Higgs fields are at the end points of the string. Nevertheless we are able to promote the classical reality conditions to quantum adjointness relations which in turn uniquely fixes the gauge and diffeomorphism invariant probability measure that underlies the Hilbert space. Most of the fermionic part of this work is independent of the recent preprint by Baez and Krasnov and earlier work by Rovelli and Morales-Tec\'otl because we use new canonical fermionic variables, so-called Grassman-valued half-densities, which enable us to to solve the difficult fermionic adjointness relations.
No associations
LandOfFree
Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-603283