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20182024
most citedNotes on cluster algebras and some all-loop Feynman integrals

32 citations · 228 across the 16 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

hep-th2021

Kinematics, cluster algebras and Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We identify cluster algebras for planar kinematics of conformal Feynman integrals in four dimensions, as sub-algebras of that for top-dimensional corresponding to -poin…

hep-th2021★ 13 cited

Comments on all-loop constraints for scattering amplitudes and Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We comment on the status of "Steinmann-like" constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar ${…

hep-th2021★ 31 cited

Truncated cluster algebras and Feynman integrals with algebraic letters

Song He, Zhenjie Li, Qinglin Yang

We propose that the symbol alphabet for classes of planar, dual-conformal-invariant Feynman integrals can be obtained as truncated cluster algebras purely from their kinematics, wh…

hep-th2021★ 9 cited

Bootstrapping octagons in reduced kinematics from cluster algebras

Song He, Zhenjie Li, Yichao Tang +1

Multi-loop scattering amplitudes/null polygonal Wilson loops in super-Yang-Mills are known to simplify significantly in reduced kinematics, where external legs/edg…

hep-th2021★ 32 cited

Notes on cluster algebras and some all-loop Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We study cluster algebras for some all-loop Feynman integrals, including box-ladder, penta-box-ladder, and (seven-point) double-penta-ladder integrals. In addition to the well-know…

hep-th2021★ 23 cited

Feynman Integrals and Scattering Amplitudes from Wilson Loops

Song He, Zhenjie Li, Qinglin Yang +1

We study Feynman integrals and scattering amplitudes in super-Yang-Mills by exploiting the duality with null polygonal Wilson loops. Certain Feynman integrals, includi…