Analytic expressions of amplitudes by the cross-ratio identity method
High Energy Physics - Theory
2017-07-17 v1
Abstract
In order to obtain the analytic expression of an amplitude from a generic CHY-integrand, a new algorithm based on the so-called cross-ratio identities has been proposed recently. In this paper, we apply this new approach to a variety of theories including: non-linear sigma model, special Galileon theory, pure Yang-Mills theory, pure gravity, Born-Infeld theory, Dirac-Born-Infeld theory and its extension, Yang-Mills-scalar theory, Einstein-Maxwell theory as well as Einstein-Yang-Mills theory. CHY-integrands of these theories which contain higher-order poles can be calculated conveniently by using the cross-ratio identity method, and all results above have been verified numerically.
Keywords
Cite
@article{arxiv.1703.04403,
title = {Analytic expressions of amplitudes by the cross-ratio identity method},
author = {Kang Zhou},
journal= {arXiv preprint arXiv:1703.04403},
year = {2017}
}
Comments
22 pages