Radiative Corrections and the Palatini Action
High Energy Physics - Theory
2022-06-24 v6
Abstract
By using the Faddeev-Popov quantization procedure, we demonstrate that the radiative effects computed using the first-order and second-order Einstein-Hilbert action for General Relativity are the same, provided one can discard tadpoles. In addition, we show that the first order form of this action can be used to obtain a set of Feynman rules that involves just two propagating fields and three three-point vertices; using these rules is considerably simpler than employing the infinite number of vertices that occur in the second-order form. We demonstrate this by computing the one-loop, two-point function.
Keywords
Cite
@article{arxiv.1601.04944,
title = {Radiative Corrections and the Palatini Action},
author = {F. T. Brandt and D. G. C. McKeon},
journal= {arXiv preprint arXiv:1601.04944},
year = {2022}
}
Comments
10 pages, 1 figure and 1 table; accepted for Publication in Physical Review D; corrected a missing factor in Eq. (3.34)