Compact gauge fields minimally coupled to Causal Dynamical Triangulations
APA
Clemente, G. (2022). Compact gauge fields minimally coupled to Causal Dynamical Triangulations. Perimeter Institute. https://pirsa.org/22030028
MLA
Clemente, Giuseppe. Compact gauge fields minimally coupled to Causal Dynamical Triangulations. Perimeter Institute, Mar. 17, 2022, https://pirsa.org/22030028
BibTex
@misc{ pirsa_PIRSA:22030028, doi = {10.48660/22030028}, url = {https://pirsa.org/22030028}, author = {Clemente, Giuseppe}, keywords = {Quantum Gravity}, language = {en}, title = {Compact gauge fields minimally coupled to Causal Dynamical Triangulations}, publisher = {Perimeter Institute}, year = {2022}, month = {mar}, note = {PIRSA:22030028 see, \url{https://pirsa.org}} }
We discuss the minimal coupling of gauge fields to the dual graph lattice of Causal Dynamical Triangulations (CDT) as a preliminary step towards the investigation of more realistic systems of gravity coupled to bosonic and fermionic matter. We first introduce the CDT approach and how the gravity and gauge fields are discretized, for general dimensions and gauge groups, focusing on some of the algorithmic complications which arise. Next, we discuss some results from 2D simulations of CDT coupled to U(1) and SU(2) gauge groups, where we studied both gravity and gauge-related observables and the ones related to gauge fields, comparing them to analogous simulations in the flat case.