QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories

  title={QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories},
  author={Thomas Thiemann},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • T. Thiemann
  • Published 10 May 1997
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague quantum field theories in a background metric. We demonstrate that this idea is implemented in a precise sense within the framework of four-dimensional canonical Lorentzian quantum gravity in the continuum. Specifically, we show that the Hamiltonian of the standard model supports a representation in which… 
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