Worldline formalism for covariant loop gravity
APA
Wieland, W. (2014). Worldline formalism for covariant loop gravity. Perimeter Institute. https://pirsa.org/14110116
MLA
Wieland, Wolfgang. Worldline formalism for covariant loop gravity. Perimeter Institute, Nov. 06, 2014, https://pirsa.org/14110116
BibTex
@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}} }
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.