Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories

  title={Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories},
  author={Thomas Thiemann},
We extend the recently developed kinematical framework for diffeomorphism invariant theories of connections for compact gauge groups to the case of a diffeo-morphism 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… CONTINUE READING
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