Determination of boundary contributions in recursion relation. (English) Zbl 1388.81741
Summary: 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.
MSC:
| 81T50 | Anomalies in quantum field theory |
| 81V17 | Gravitational interaction in quantum theory |
| 83C22 | Einstein-Maxwell equations |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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