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Color-Kinematics Relation from the Feynman Diagram Perspective
C. S. Lam
Feynman diagrams for gluon tree amplitudes are studied in the Feynman gauge and in any number of spacetime dimensions. The color-kinematics combinations of numerato…
CHY Theory for Several Fields
C. S. Lam
The Cachazo-He-Yuan (CHY) formula was originally proposed to describe on-shell scattering of particles from a single massless field. We present a method to modify it to include sev…
Pfaffian Diagrams for Gluon Tree Amplitudes
C. S. Lam
Pfaffian diagrams are formulated to represent gluon amplitudes computed from the Cachazo-He-Yuan (CHY) formula. They may be regarded as a systematic regrouping of Feynman diagrams…
The Role of Möbius Constants and Scattering Functions in CHY Scalar Amplitudes
C. S. Lam, York-Peng Yao
The integrations leading to the Cachazo-He-Yuan (CHY) double-color -point massless scalar amplitude are carried out one integral at a time. Möbius invariance dictates the final…
Off-Shell CHY Amplitudes
C. S. Lam, York-Peng Yao
The Cachazo-He-Yuan (CHY) formula for on-shell scattering amplitudes are extended off-shell. The off-shell amplitudes are Möbius invariant, and have the same momentum poles as the…
Permutation Symmetry of the Scattering Equations
C. S. Lam
Closed formulas for tree amplitudes of -particle scatterings of gluon, graviton, and massless scalar particles have been proposed by Cachazo, He, and Yuan. It depends on …
String Rearrangement of Gauge Theories
C. S. Lam
Feynman diagram expressions in ordinary field theories can be written in a string-like manner. The methods and the advantages for doing so are briefly discussed.