- 作 者: ( "yijian du" OR "yi-jian du" )
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A note on multi-trace EYM amplitudes in four dimensionsJournal of High Energy Physics (IF 6.379) Pub Date : 2022-12-19 ,DOI:10.1007/jhep12(2022)099Chongsi Xie, Yi-Jian Du
In four dimensions, a tree-level double-trace Einstein-Yang-Mills (EYM) amplitude with two negative-helicity gluons (the (g−, g−)-configuration) satisfies a symmetric spanning forest formula, which was derived from the graphic expansion rule. On another hand, in the framework of Cachazo-He-Yuan (CHY) formula, the maximally-helicity-violating (MHV) amplitudes are supported by the MHV solution of scattering
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Note on graph-based BCJ relation for Berends-Giele currentsJournal of High Energy Physics (IF 6.379) Pub Date : 2022-12-14 ,DOI:10.1007/jhep12(2022)080Yi-Jian Du, Konglong Wu
Graph-based Bern-Carasso-Johansson (BCJ) relation for Berends-Giele currents in bi-adjoint scalar (BS) theory, which is characterized by connected tree graphs, was proposed in an earlier work. In this note, we provide a systematic study of this relation. We first prove the relations based on two special types of graphs: simple chains and star graphs. The general graph-based BCJ relation established
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Constructing EYM amplitudes by inverse soft limitarXiv - PHYS - High Energy Physics - Theory Pub Date : 2022-11-18 ,DOI:arxiv-2211.10047Shiquan Ma, Rongyu Dong, Yi-Jian DuIt is well known that gravity amplitudes in four dimensions can be reconstructed by the inverse soft limit (ISL) method. According to ISL, a tree level $n$-graviton maximally-helicity-violating (MHV) amplitude is expressed in terms of deformed $(n-1)$-graviton amplitudes accompanied by soft graviton factors. On another hand, single- and double-trace tree-level Einstein-Yang-Mills (EYM) MHV amplitudes ...
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A note on multi-trace EYM amplitudes in four dimensionsarXiv - PHYS - High Energy Physics - Theory Pub Date : 2022-08-29 ,DOI:arxiv-2208.13344Chongsi Xie, Yi-Jian DuIn four dimensions, a tree-level double-trace Einstein-Yang-Mills (EYM) amplitude with two negative-helicity gluons (the $(g^-,g^-)$-configuration) satisfies a symmetric spanning forest formula, which was derived from the graphic expansion rule. On another hand, in the framework of Cachazo-He-Yuan (CHY) formula, the maximally-helicity-violating (MHV) amplitudes are supported by the MHV solution of ...
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Note on graph-based BCJ relation for Berends-Giele currentsarXiv - PHYS - High Energy Physics - Theory Pub Date : 2022-07-06 ,DOI:arxiv-2207.02374Yi-Jian Du, Konglong WuGraph-based Bern-Carasso-Johansson (BCJ) relation for Berends-Giele currents in bi-adjoint scalar (BS) theory, which is characterized by connected tree graphs, was proposed in an earlier work. In this note, we provide a systematic study of this relation. We first prove the relations based on two special types of graphs: simple chains and star graphs. The general graph-based BCJ relation established ...
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Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theoryJournal of High Energy Physics (IF 6.379) Pub Date : 2022-01-27 ,DOI:10.1007/jhep01(2022)162Konglong Wu, Yi-Jian Du
Tree-level color-ordered Yang-Mills (YM) amplitudes can be decomposed in terms of (n − 2)! bi-scalar (BS) amplitudes, whose expansion coefficients form a basis of Bern-Carrasco-Johansson (BCJ) numerators. By the help of the recursive expansion of Einstein-Yang-Mills (EYM) amplitudes, the BCJ numerators are given by polynomial functions of Lorentz contractions which are conveniently described by graphic
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Evaluating EYM amplitudes in four dimensions by refined graphic expansionJournal of High Energy Physics (IF 6.379) Pub Date : 2021-04-15 ,DOI:10.1007/jhep04(2021)150Hongxiang Tian, Enze Gong, Chongsi Xie, Yi-Jian Du
The recursive expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes induces a refined graphic expansion, by which any tree-level EYM amplitude can be expressed as a summation over all possible refined graphs. Each graph contributes a unique coefficient as well as a proper combination of color-ordered Yang-Mills (YM) amplitudes. This expansion allows one to evaluate EYM amplitudes
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A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2020-05-01 ,DOI:10.1007/jhep05(2020)008Yi-Jian Du, Linghui Hou
Symmetries of Einstein-Yang-Mills (EYM) amplitudes, together with the recursive expansions, induce nontrivial identities for pure Yang-Mills amplitudes. In the previous work [1], we have already proven that the identities induced from tree level single-trace EYM amplitudes can be precisely expanded in terms of BCJ relations. In this paper, we extend the discussions to those identities induced from
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A graphic approach to gauge invariance induced identityJournal of High Energy Physics (IF 6.379) Pub Date : 2019-05-01 ,DOI:10.1007/jhep05(2019)012Linghui Hou, Yi-Jian Du
A bstractAll tree-level amplitudes in Einstein-Yang-Mills (EYM) theory and gravity (GR) can be expanded in terms of color ordered Yang-Mills (YM) ones whose coefficients are polynomial functions of Lorentz inner products and are constructed by a graphic rule. Once the gauge invariance condition of any graviton is imposed, the expansion of a tree level EYM or gravity amplitude induces a nontrivial identity
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Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2018-07-01 ,DOI:10.1007/jhep07(2018)177Yi-Jian Du, Yong Zhang
A bstractIn this paper, we derive generalized Bern-Carrasco-Johansson (BCJ) relations for color-ordered Yang-Mills amplitudes by imposing gauge invariance conditions and dimensional reduction appropriately on the new discovered graphic expansion of Einstein-Yang-Mills amplitudes. These relations are also satisfied by color-ordered amplitudes in other theories such as bi-scalar theory and nonlinear
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Expansion of all multitrace tree level EYM amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2017-12-01 ,DOI:10.1007/jhep12(2017)038Yi-Jian Du, Bo Feng, Fei Teng
A bstractIn this paper, we investigate the expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes. First, we propose two types of recursive expansions of tree level EYM amplitudes with an arbitrary number of gluons, gravitons and traces by those amplitudes with fewer traces or/and gravitons. Then we give many support evidence, including proofs using the Cachazo-He-Yuan (CHY) formula
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Expansion of Einstein-Yang-Mills amplitudeJournal of High Energy Physics (IF 6.379) Pub Date : 2017-09-01 ,DOI:10.1007/jhep09(2017)021Chih-Hao Fu, Yi-Jian Du, Rijun Huang, Bo Feng
A bstractIn 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 invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this
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Understanding the cancelation of double poles in the Pfaffian of CHY-formulismJournal of High Energy Physics (IF 6.379) Pub Date : 2017-06-01 ,DOI:10.1007/jhep06(2017)133Rijun Huang, Yi-Jian Du, Bo Feng
A bstractFor a physical field theory, the tree-level amplitudes should possess only single poles. However, when computing amplitudes with Cachazo-He-Yuan (CHY) formulation, individual terms in the intermediate steps will contribute higher-order poles. In this paper, we investigate the cancelation of higher-order poles in CHY formula with Pfaffian as the building block. We develop a diagrammatic rule
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BCJ numerators from reduced PfaffianJournal of High Energy Physics (IF 6.379) Pub Date : 2017-04-01 ,DOI:10.1007/jhep04(2017)033Yi-Jian Du, Fei Teng
A bstractBy expanding the reduced Pfaffian in the tree level Cachazo-He-Yuan (CHY) integrands for Yang-Mills (YM) and nonlinear sigma model (NLSM), we can get the Bern-Carrasco-Johansson (BCJ) numerators in Del Duca-Dixon-Maltoni (DDM) form for arbitrary number of particles in any spacetime dimensions. In this work, we give a set of very straightforward graphic rules based on spanning trees for a direct
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Leading order multi-soft behaviors of tree amplitudes in NLSMJournal of High Energy Physics (IF 6.379) Pub Date : 2017-03-01 ,DOI:10.1007/jhep03(2017)062Yi-Jian Du, Hui Luo
A bstractIn this paper, we investigate multi-soft behaviors of tree amplitudes in nonlinear sigma model (NLSM). The leading behaviors of amplitudes with odd number of all-adjacent soft pions are zero. We further propose and prove that leading soft factors of amplitudes with even number all-adjacent soft pions can be expressed in terms of products of the leading order Berends-Giele sub-currents in Cayley
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Characterizing the solutions to scattering equations that support tree-level N k MHV gauge/gravity amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2016-11-01 ,DOI:10.1007/jhep11(2016)088Yi-Jian Du, Fei Teng, Yong-Shi Wu
A bstractIn this paper we define, independent of theories, two discriminant matrices involving a solution to the scattering equations in four dimensions, the ranks of which are used to divide the solution set into a disjoint union of subsets. We further demonstrate, entirely within the Cachazo-He-Yuan formalism, that each subset of solutions gives nonzero contribution to tree-level NkMHV gauge/gravity
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Explicit BCJ numerators of nonlinear simga modelJournal of High Energy Physics (IF 6.379) Pub Date : 2016-09-01 ,DOI:10.1007/jhep09(2016)174Yi-Jian Du, Chih-Hao Fu
A bstractIn 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 separately in two parametrization schemes of the theory using Kawai-Lewellen-Tye relation inspired technique, both lead to polynomial numerators. We summarize the calculation in each case
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Direct evaluation of n-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY formalismJournal of High Energy Physics (IF 6.379) Pub Date : 2016-09-01 ,DOI:10.1007/jhep09(2016)171Yi-Jian Du, Fei Teng, Yong-Shi Wu
A bstractIn this paper we extend our techniques, developed in a previous paper [1] for direct evaluation of arbitrary n-point tree-level MHV amplitudes in 4d Yang-Mills and gravity theory using the Cachazo-He-Yuan (CHY) formalism, to the 4d Einstein-Yang-Mills (EYM) theory. Any single-trace color-ordered n-point tree-level MHV amplitude in EYM theory, obtained by a direct evaluation of the CHY formula
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CHY formula and MHV amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2016-05-01 ,DOI:10.1007/jhep05(2016)086Yi-Jian Du, Fei Teng, Yong-Shi Wu
A bstractIn this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the integrated CHY formula produces the Parke-Taylor formula
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On single and double soft behaviors in NLSMJournal of High Energy Physics (IF 6.379) Pub Date : 2015-08-01 ,DOI:10.1007/jhep08(2015)058Yi-Jian Du, Hui Luo
A bstractIn this paper, we study the single and double soft behaviors of tree level off-shell currents and on-shell amplitudes in nonlinear sigma model (NLSM). We first propose and prove the leading soft behavior of the tree level currents with a single soft particle. In the on-shell limit, this single soft emission becomes the Adler’s zero. Then we establish leading and subleading soft behaviors of
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Recursion in multiplet bases for tree-level MHV gluon amplitudesJournal of High Energy Physics (IF 6.379) Pub Date : 2015-05-01 ,DOI:10.1007/jhep05(2015)119Yi-Jian Du, Malin Sjödahl, Johan Thorén
A bstractWe investigate the construction of tree-level MHV gluon amplitudes in multiplet bases using BCFW recursion. The multiplet basis decomposition can either be obtained by decomposing results derived in (for example) the DDM basis or by formulating the recursion directly in the multiplet basis. We focus on the latter approach and show how to efficiently deal with the color structure appearing
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Note on off-shell relations in nonlinear sigma modelJournal of High Energy Physics (IF 6.379) Pub Date : 2015-03-01 ,DOI:10.1007/jhep03(2015)156Gang Chen, Yi-Jian Du, Shuyi Li, Hanqing Liu
A bstractIn this note, we investigate relations between tree-level off-shell currents in nonlinear sigma model. Under Cayley parametrization, all odd-point currents vanish. We propose and prove a generalized U(1) identity for even-point currents. The off-shell U(1) identity given in [1] is a special case of the generalized identity studied in this note. The on-shell limit of this identity is equivalent
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Note on soft graviton theorem by KLT relationJournal of High Energy Physics (IF 6.379) Pub Date : 2014-11-18 ,DOI:10.1007/JHEP11(2014)090Yi-Jian Du,Bo Feng,Chih-Hao Fu,Yihong Wang
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 ordered Yang-Mills amplitudes can be combined with KLT relation to give the soft behavior of gravity amplitudes. As a byproduct, we find two nontrivial identities of the KLT momentum kernel must
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Note on symmetric BCJ numeratorJournal of High Energy Physics (IF 6.379) Pub Date : 2014-08-01 ,DOI:10.1007/jhep08(2014)098Chih-Hao Fu, Yi-Jian Du, Bo Feng
A bstractWe 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 that the relabeling property is generically satisfied.
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Dual-color decompositions at one-loop level in Yang-Mills theoryJournal of High Energy Physics (IF 6.379) Pub Date : 2014-06-01 ,DOI:10.1007/jhep06(2014)157Yi-Jian Du, Bo Feng, Chih-Hao Fu
A bstractIn 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 formulation and subsequently to the dual color-ordered formula. The dual trace factors are obtained after simultaneously solving the one-loop Kleiss-Kuijf relations, the reflection relation
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Amplitude relations in non-linear sigma modelJournal of High Energy Physics (IF 6.379) Pub Date : 2014-01-01 ,DOI:10.1007/jhep01(2014)061Gang Chen, Yi-Jian Du
A bstractIn this paper, we investigate tree-level scattering amplitude relations in U(N) non-linear sigma model. We use Cayley parametrization. As was shown in the recent works [23,24], both on-shell amplitudes and off-shell currents with odd points have to vanish under Cayley parametrization. We prove the off-shell U(1) identity and fundamental BCJ relation for even-point currents. By taking the on-shell
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Note on construction of dual-trace factor in Yang-Mills theoryJournal of High Energy Physics (IF 6.379) Pub Date : 2013-10-01 ,DOI:10.1007/jhep10(2013)069Chih-Hao Fu, Yi-Jian Du, Bo Feng
A bstractIn 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 given in arXiv:1304.2978 based on the proposal of arXiv:1103.0312, the method used in this note exploits the adjoint representation of kinematic algebra and the use of inner product in dual space. The dual-trace factor
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The construction of dual-trace factor in Yang-Mills theoryJournal of High Energy Physics (IF 6.379) Pub Date : 2013-07-01 ,DOI:10.1007/jhep07(2013)057Yi-Jian Du, Bo Feng, Chih-Hao Fu
A bstractRecently, 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 construction of the dual-trace factor based on its proposed relations to kinematic numerators in dual-DDM form. We show that the construction presented respects relabeling symmetry. In addition
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An algebraic approach to BCJ numeratorsJournal of High Energy Physics (IF 6.379) Pub Date : 2013-03-01 ,DOI:10.1007/jhep03(2013)050Chih-Hao Fu, Yi-Jian Du, Bo Feng
A bstractOne 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 numerators is no doubt, the simple and explicit construction is still an important problem. As a small step, in this note we provide an algebraic approach to construct these kinematic numerators
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On general BCJ relation at one-loop level in Yang-Mills theoryJournal of High Energy Physics (IF 6.379) Pub Date : 2013-01-01 ,DOI:10.1007/jhep01(2013)129Yi-Jian Du, Hui Luo
A bstractThe tree-level BCJ relations reveal a duality between color and kinematic structure, this can be used to reduce the number of independent color-ordered amplitudes. At one-loop level in Yang-Mills theory, we investigate a similar BCJ relation in this paper. The four-point one-loop example in $\mathcal{N}=4$ SYM gives hints about the relations between integrands. The five-point example suggests
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