All-loop and all-pass-through corrections to the Gauss-Bonnet-Davies expansion in the presence of a background vector field
Comments: 8 pages, 5 figures, presents the results of the analysis of the Gauss-Bonnet-Davies expansion in the presence of a background vector field, and comments on the implications of the results for the applicability of the finite-temperature field theory
In this paper, we show that the Gauss-Bonnet-Davies expansion in the presence of a background vector field can be analyzed using the all-loop and all-pass-through corrections. The standard error of the Gauss-Bonnet expansion is found to be larger when the background vector field is small. The analysis of the Gauss-Bonnet expansion with a background vector field leads to a negative formula for the Gauss-Bonnet expansion.