15 Result(s)
within
Chih-Hao Fu
Elementary Particles, Quantum Field Theory
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Article
Generating MHV super-vertices in light-cone gauge
We constructe the \(\mathcal{N}=1 \) SYM lagrangian in light-cone gauge using chiral superfields instead of the stand...
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Article
BCJ relation of color scalar theory and KLT relation of gauge theory
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-ordered amplitude of gluons and co...
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Article
Note on cyclic sum and combination sum of color-ordered gluon amplitudes
Continuing our previous study [22] of permutation sum of color ordered tree amplitudes of gluons, in this note, we prove the large-z behavior of their cyclic sum and the combination of cyclic and permutation sums...
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Article
A note on on-shell recursion relation of string amplitudes
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 these infinite states explic...
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Article
An algebraic approach to BCJ numerators
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 existence of such kinematic numer...
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Article
The construction of dual-trace factor in Yang-Mills theory
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 present a systematic constructi...
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Article
Note on construction of dual-trace factor in Yang-Mills theory
In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in ar**v:1105.2565 and ar**v:1212.6168. Different from the construction given in ar**v:1304.2978 based o...
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Open AccessDual-color decompositions at one-loop level in Yang-Mills theory
In this work we extend two dual color decompositions of Yang-Mills amplitude to one-loop level. Starting from double-copy expression we translate the Yang-Mills integrand into the dual Del Duca-Dixon-Maltoni f...
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Open AccessNote on symmetric BCJ numerator
We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [42]. We explicitly calculate the numerators at 4, 5 and 6-points and show th...
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Article
Open AccessNote on soft graviton theorem by KLT relation
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 how the soft behavior of color...
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Article
Open AccessExplicit BCJ numerators of nonlinear simga model
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). The calculation is done sep...
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Article
Open AccessColour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
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 progress in the self-dual sector....
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Article
Open AccessExpansion of Einstein-Yang-Mills amplitude
In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge i...
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Article
Open AccessA vertex operator algebra construction of the colour-kinematics dual numerator
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 expression involves an α′-weighted commu...
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Article
Open AccessBCJ, worldsheet quantum algebra and KZ equations
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 representation depends on string modes, ...
