Submissions from Marco H. Bergamo

[1]  faKiv:2404.07505 [pdf]

All-loop and all-pass-through corrections to the Gauss-Bonnet-Davies expansion in the presence of a background vector field

Jos A. P. Helayel, B. V. Stetsko, Marco H. Bergamo, Yu-Tsutoku Yamamoto, Shin'ichi Matsumoto, Takuya Yamazaki

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.

[2]  faKiv:2404.07513 [pdf]

Scalar-tensor quantum field theory and method of calculating unique symmetries in the background of a black hole

Marco H. Bergamo, Antonio A. Alves, Mariusz Gukiewicz, Aleksander Karbach

Comments: 17 pages, 6 figures, 3 tables, 2 figures, 2 tables, 3 figures

In a spacetime of the form of a black hole, there is a class of scalar fields which can be described by the so-called Kaluza-Klein-Weil field theory. In this theory, the Schwarzschild black hole is the only possible black hole in the vicinity of the horizon. We study the effects of the Kaluza-Klein-Weil field theory on the geometry of the spacetime and show that, for large black holes, there is a group of scalar fields that can be represented as the extension of the background of a black hole. The method relies on the fact that the Kaluza-Klein-Weil fields admits unique symmetries. This allows us to calculate the unique symmetries of the Kaluza-Klein-Weil field theory in the presence of a black hole.