Determination of Boundary Contributions in Recursion Relation
Bo Feng, Kang Zhou, Chenkai Qiao, Junjie Rao
TL;DR
This paper introduces a new algorithm to accurately identify boundary contributions in recursion relations for calculating tree amplitudes across various quantum field theories.
Contribution
A systematic algorithm for determining boundary contributions in BCFW recursion relations for general quantum field theories.
Findings
Successfully applied to phi-4, Yang-Mills, Einstein-Maxwell, and Yukawa theories.
Demonstrates the algorithm's effectiveness with multiple examples.
Enhances the accuracy of amplitude calculations in theoretical physics.
Abstract
In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an instruction of the algorithm, we will use several examples to demonstrate its application, including amplitudes of color-ordered phi-4 theory, Yang-Mills theory, Einstein-Maxwell theory and color-ordered Yukawa theory with phi-4 interaction.
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