A Comparison of the Method of Brackets with the method of Negative Dimension

Kristina VanDusen VanDusen; Ivan gonzález; Victor H. Moll

doi:10.71712/sy9f-3s20

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Published: 2024-01-08

DOI: https://doi.org/10.71712/sy9f-3s20

Keywords:

integrals, brackets, Ramanujan master theorem, negative dimension, Feynman diagrams

Kristina VanDusen

Department of Mathematics, Southeastern Louisiana University

Ivan gonzález

Instituto de F´ısica y Astronomia, Universidad de Valparaiso

Victor H. Moll

Department of Mathematics, Tulane University

Abstract

Negative dimensional integration is a method of evaluating Feynman diagrams. The method of brackets is an improvement on existing algorithms. These methods are compared for the ”flying saucer” diagram.

Issue

Vol. 34 (2024)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

VanDusen, K. V., gonzález, I., & Moll, V. H. (2024). A Comparison of the Method of Brackets with the method of Negative Dimension. Scientia Series A: Mathematical Sciences, 34, 81-107. https://doi.org/10.71712/sy9f-3s20