79 citations · 472 across the 23 of their papers we have counts for
23 papers
BCJ, worldsheet quantum algebra and KZ equations
Chih-Hao Fu, Yihong Wang
We exploit the correspondence between twisted homology and quantum group to construct an algebra explanation of the open string kinematic numerator. In this setting the representat…
A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
Chih-Hao Fu, Pierre Vanhove, Yihong Wang
We derive a vertex operator based expression for the kinematic numerators of Yang-Mills amplitudes by applying the momentum kernel formalism to open string amplitudes. The expressi…
Expansion of Einstein-Yang-Mills Amplitude
Chih-Hao Fu, Yi-Jian Du, Rijun Huang +1
In this paper, we provide a thorough study on the expansion of single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes, from vari…
Explicit BCJ numerators of nonlinear sigma model
Yi-Jian Du, Chih-Hao Fu
In this paper, we investigate the color-kinematics duality in nonlinear sigma model (NLSM). We present explicit polynomial expressions for the kinematic numerators (BCJ numerators)…
Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
Chih-Hao Fu, Kirill Krasnov
Colour-kinematics duality suggests that Yang-Mills (YM) theory possesses some hidden Lie algebraic structure. So far this structure has resisted understanding, apart from some prog…
Deformations of Yang-Mills theory
Marco Cofano, Chih-Hao Fu, Kirill Krasnov
We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part…
Note on Soft Graviton theorem by KLT Relation
Yi-Jian Du, Bo Feng, Chih-Hao Fu +1
Recently, new soft graviton theorem proposed by Cachazo and Strominger has inspired a lot of works. In this note, we use the KLT-formula to investigate the theorem. We have shown h…
Note on symmetric BCJ numerator
Chih-Hao Fu, Yi-Jian Du, Bo Feng
We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [35]. We explicitly calculate the numerators at…
Dual-color decompositions at one-loop level in Yang-Mills theory
Yi-Jian Du, Bo Feng, Chih-Hao Fu
In this work, we extend the construction of dual color decomposition in Yang-Mills theory to one-loop level, i.e., we show how to write one-loop integrands in Yang-Mills theory to…
Note on Construction of Dual-trace Factor in Yang-Mills Theory
Chih-Hao Fu, Yi-Jian Du, Bo Feng
In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different from the construction giv…
BCFW Deformation and Regge Limit
Chih-Hao Fu, Jen-Chi Lee, Chung-I Tan +1
BCFW deformation has served as an extremely useful tool in providing a recursive approach in studying color-ordered gauge amplitudes. This procedure has also been generalized to th…
Recurrence Relations of Higher Spin BPST Vertex Operators for Open String
Chih-Hao Fu, Jen-Chi Lee, Chung-I Tan +1
We calculate higher spin BPST vertex operators for open bosonic string and express these operstors in terms of Kummer function of the second kind. We derive infinite number of recu…
The Construction of Dual-trace Factor in Yang-Mills Theory
Yi-Jian Du, Bo Feng, Chih-Hao Fu
Recently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude was proposed, where the dual-trace factor satisfies cyclic symmetry and KK-relation. In this paper, we pr…
An algebraic approach to BCJ numerators
Chih-Hao Fu, Yi-Jian Du, Bo Feng
One important discovery in recent years is that the total amplitude of gauge theory can be written as BCJ form where kinematic numerators satisfy Jacobi identity. Although the exis…
A note on on-shell recursion relation of string amplitudes
Yung-Yeh Chang, Bo Feng, Chih-Hao Fu +3
In the application of on-shell recursion relation to string amplitudes, one challenge is the sum over infinite intermediate on-shell string states. In this note, we show how to sum…
Note on Permutation Sum of Color-ordered Gluon Amplitudes
Yi-jian Du, Bo Feng, Chih-Hao Fu
In this note we show that under BCFW-deformation the large z behavior of permutation sum of color-ordered gluon amplitudes found by Boels and Isermann in arxiv:1109.5888 can be sim…
Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes
Yi-Jian Du, Bo Feng, Chih-Hao Fu
Continuing our previous study \cite{Du:2011se} of permutation sum of color ordered tree amplitudes of gluons, in this note, we prove the large- behavior of their cyclic sum and…
BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
Yi-Jian Du, Bo Feng, Chih-Hao Fu
We present a field theoretical proof of the conjectured KLT relation which states that the full tree-level scattering amplitude of gluons can be written as a product of color-order…
New N=4 SYM Path Integral
Chih-Hao Fu, Renata Kallosh
Using Lorentz covariant spinor helicity formalism we reorganize the unitary scalar superfield light-cone path integral for the N=4 supersymmetric Yang-Mills theory. In new variable…
Generating MHV super-vertices in light-cone gauge
Chih-Hao Fu
We constructe the SYM lagrangian in light-cone gauge using chiral superfields instead of the standard vector superfield approach and derive the MHV lagrangian. The…
The MHV lagrangian vertices and the Parke-Taylor formula
Chih-Hao Fu
We explicitly calculate the vertices of the MHV-rules lagrangian in 4-dimensions. This proves that the vertices in the lagrangian obtained by a canonical transformation from light-…
S-matrix equivalence restored
Chih-Hao Fu, Jonathan Fudger, Paul R. W. Mansfield +2
The canonical transformation that maps light-cone Yang-Mills theory to a Lagrangian description of the MHV rules is non-local, consequently the two sets of fields do not necessaril…
S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with the Canonical MHV Lagrangian
James H. Ettle, Chih-Hao Fu, Jonathan P. Fudger +2
We demonstrate that the canonical change of variables that yields the MHV lagrangian, also provides contributions to scattering amplitudes that evade the equivalence theorem. This…