PIRSA:14110116 Scientific Series Quantum Gravity

DOI10.48660/14110116

Series: Quantum Gravity

Wieland, W. (2014). Worldline formalism for covariant loop gravity. Perimeter Institute. https://pirsa.org/14110116

Wieland, Wolfgang. Worldline formalism for covariant loop gravity. Perimeter Institute, Nov. 06, 2014, https://pirsa.org/14110116 

@misc{ pirsa_PIRSA:14110116,
  doi = {10.48660/14110116},
  url = {https://pirsa.org/14110116},
  author = {Wieland, Wolfgang},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Worldline formalism for covariant loop gravity},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {nov},
  note = {PIRSA:14110116 see, \url{https://pirsa.org}}
}

Abstract

I present a proposal for a worldline action for discretized gravity with the same field content as loop quantum gravity. The proposal is defined through its action, which is a one-dimensional integral over the edges of the discretization. Every edge carries a finite-dimensional phase space, and the evolution equations are generated by a Hamiltonian, which is a sum over the constraints of the theory. I will explain the relevance of the model, and close with possible relations to other approaches of quantum gravity, including: relative locality, causal sets and twistor theory.

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