Analytic expressions of amplitudes by the cross-ratio identity method

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 the non-linear sigma model, special Galileon...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2017-06, Vol.77 (6), p.1-10, Article 388
Main Author: Zhou, Kang
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Astronomy
Astrophysics and Cosmology
Elementary Particles
Gravitation
Hadrons
Heavy Ions
Mathematical models
Measurement Science and Instrumentation
Methods
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Yang-Mills theory
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Summary: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 the 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, and Einstein–Maxwell and 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-4941-3