Non-perturbative Quantum Field Theory and the Geometry of Functional Spaces

23 Feb 2020 Aastrup Johannes Grimstrup Jesper M.

In this paper we construct a non-commutative geometry over a configuration space of gauge connections and show that it gives rise to an interacting, non-perturbative quantum gauge theory coupled to a fermionic field on a curved background. The non-commutative geometry is given by an infinite-dimensional Bott-Dirac type operator, whose square gives the Hamilton operator, and which interacts with an algebra generated by holonomy-diffeomorphisms... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS