Submissions from J. M. Harrison

[1]  faKiv:2403.08782 [pdf]
Non-perturbative approach to the Weyl-Fujikawa equation in a cosmological background
Comments: 32 pages, 6 figures

We study a perturbative approach to solving the Weyl-Fujikawa equation (WFDE) in the cosmological background of a $2+1$-dimensional $AdS$-like Einstein-Hilbert model with a non-perturbative causal structure. The non-perturbative approach is a simple, non-perturbative formulation of the weyl-Fujikawa equation in a hydrodynamic approximation. We first investigate the perturbative parameter which is normally determined by the Weyl-Fujikawa equation. It is shown that our perturbative approach is equivalent to the perturbative approach in the hydrodynamic approximation. We comment on the implications of our results for the interpretation of the Higgs-Dirac equation in the cosmological background.