Lattice Seminar

A Monte Carlo study of compact gauge fields minimally coupled to gravity in the Causal Dynamical Triangulation approach to quantum gravity

by Dr Giuseppe Clemente (DESY Zeuthen)




We examine the problem of minimal coupling gauge fields of the Yang-Mills (YM) type to the dual graph lattice of Causal Dynamical Triangulations (CDT) as a preliminary step toward studying, ultimately, realistic systems of gravity coupled to bosonic and fermionic matter. We first introduce the discretization used for both the gravity and the YM sector, 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.