66 citations · 820 across the 80 of their papers we have counts for
7 papers · 1 filter
Gauss Relations in Feynman Integrals
Tai-Fu Feng, Yang Zhou, Hai-Bin Zhang
Embedding Feynman integrals in Grassmannians, we can write Feynman integrals as some finite linear combinations of generalized hypergeometric functions. In this paper we present a…
GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
Hai-Bin Zhang, Tai-Fu Feng
We present the Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of the Feynman integrals of the three-loop vacuum diagrams with arbitrary masses, basing on Mellin-Barnes r…
GKZ-system of the 2-loop self energy with 4 propagators
Tai-Fu Feng, Hai-Bin Zhang, Yan-Qing Dong +1
Applying the system of linear partial differential equations derived from the Mellin-Barnes representation and the Miller transformation, we present the GKZ-system of the Feynman i…
Feynman Integrals of Grassmannians
Tai-Fu Feng, Hai-Bin Zhang, Chao-Hsi Chang
We embed Feynman integrals in the subvarieties of Grassmannians through homogenization of the integrands in projective space, then obtain GKZ-systems satisfied by those scalar inte…
GKZ-hypergeometric systems for Feynman integrals
Tai-Fu Feng, Chao-Hsi Chang, Jian-Bin Chen +1
Basing on the systems of linear partial differential equations derived from Mellin-Barnes representations and Miller's transformation, we obtain GKZ-hypergeometric systems of one-l…
The system of partial differential equations for the function
Tai-Fu Feng, Chao-Hsi Chang, Jian-Bin Chen +1
We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, b…
Computations of superstring amplitudes in pure spinor formalism via Cadabra
Ke-Sheng Sun, Xiang-Mao Ding, Fei Sun +1
The discovery of pure spinor formalism makes the computation of superstring scattering amplitudes possible. In this paper, we will illustrate how computer algebra system Cadabra is…