 作 者: ( "yijian du" OR "yijian du" )

Journal of High Energy Physics (IF 6.379) Pub Date : 20221219 ,DOI:10.1007/jhep12(2022)099Chongsi Xie, YiJian DuIn four dimensions, a treelevel doubletrace EinsteinYangMills (EYM) amplitude with two negativehelicity 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 CachazoHeYuan (CHY) formula, the maximallyhelicityviolating (MHV) amplitudes are supported by the MHV solution of scattering ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20221214 ,DOI:10.1007/jhep12(2022)080YiJian Du, Konglong WuGraphbased BernCarassoJohansson (BCJ) relation for BerendsGiele currents in biadjoint 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 graphbased BCJ relation established ...

arXiv  PHYS  High Energy Physics  Theory Pub Date : 20221118 ,DOI:arxiv2211.10047Shiquan Ma, Rongyu Dong, YiJian 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 maximallyhelicityviolating (MHV) amplitude is expressed in terms of deformed $(n1)$graviton amplitudes accompanied by soft graviton factors. On another hand, single and doubletrace treelevel EinsteinYangMills (EYM) MHV amplitudes ...

arXiv  PHYS  High Energy Physics  Theory Pub Date : 20220829 ,DOI:arxiv2208.13344Chongsi Xie, YiJian DuIn four dimensions, a treelevel doubletrace EinsteinYangMills (EYM) amplitude with two negativehelicity 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 CachazoHeYuan (CHY) formula, the maximallyhelicityviolating (MHV) amplitudes are supported by the MHV solution of ...

arXiv  PHYS  High Energy Physics  Theory Pub Date : 20220706 ,DOI:arxiv2207.02374YiJian Du, Konglong WuGraphbased BernCarassoJohansson (BCJ) relation for BerendsGiele currents in biadjoint 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 graphbased BCJ relation established ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20220127 ,DOI:10.1007/jhep01(2022)162Konglong Wu, YiJian DuTreelevel colorordered YangMills (YM) amplitudes can be decomposed in terms of (n − 2)! biscalar (BS) amplitudes, whose expansion coefficients form a basis of BernCarrascoJohansson (BCJ) numerators. By the help of the recursive expansion of EinsteinYangMills (EYM) amplitudes, the BCJ numerators are given by polynomial functions of Lorentz contractions which are conveniently described by graphic ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20210415 ,DOI:10.1007/jhep04(2021)150Hongxiang Tian, Enze Gong, Chongsi Xie, YiJian DuThe recursive expansion of tree level multitrace EinsteinYangMills (EYM) amplitudes induces a refined graphic expansion, by which any treelevel 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 colorordered YangMills (YM) amplitudes. This expansion allows one to evaluate EYM amplitudes ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20200501 ,DOI:10.1007/jhep05(2020)008YiJian Du, Linghui HouSymmetries of EinsteinYangMills (EYM) amplitudes, together with the recursive expansions, induce nontrivial identities for pure YangMills amplitudes. In the previous work [1], we have already proven that the identities induced from tree level singletrace EYM amplitudes can be precisely expanded in terms of BCJ relations. In this paper, we extend the discussions to those identities induced from ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20190501 ,DOI:10.1007/jhep05(2019)012Linghui Hou, YiJian DuA bstractAll treelevel amplitudes in EinsteinYangMills (EYM) theory and gravity (GR) can be expanded in terms of color ordered YangMills (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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20180701 ,DOI:10.1007/jhep07(2018)177YiJian Du, Yong ZhangA bstractIn this paper, we derive generalized BernCarrascoJohansson (BCJ) relations for colorordered YangMills amplitudes by imposing gauge invariance conditions and dimensional reduction appropriately on the new discovered graphic expansion of EinsteinYangMills amplitudes. These relations are also satisfied by colorordered amplitudes in other theories such as biscalar theory and nonlinear ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20171201 ,DOI:10.1007/jhep12(2017)038YiJian Du, Bo Feng, Fei TengA bstractIn this paper, we investigate the expansion of tree level multitrace EinsteinYangMills (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 CachazoHeYuan (CHY) formula ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20170901 ,DOI:10.1007/jhep09(2017)021ChihHao Fu, YiJian Du, Rijun Huang, Bo FengA bstractIn this paper, we study from various perspectives the expansion of tree level single trace EinsteinYangMills amplitudes into linear combination of colorordered YangMills 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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20170601 ,DOI:10.1007/jhep06(2017)133Rijun Huang, YiJian Du, Bo FengA bstractFor a physical field theory, the treelevel amplitudes should possess only single poles. However, when computing amplitudes with CachazoHeYuan (CHY) formulation, individual terms in the intermediate steps will contribute higherorder poles. In this paper, we investigate the cancelation of higherorder poles in CHY formula with Pfaffian as the building block. We develop a diagrammatic rule ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20170401 ,DOI:10.1007/jhep04(2017)033YiJian Du, Fei TengA bstractBy expanding the reduced Pfaffian in the tree level CachazoHeYuan (CHY) integrands for YangMills (YM) and nonlinear sigma model (NLSM), we can get the BernCarrascoJohansson (BCJ) numerators in Del DucaDixonMaltoni (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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20170301 ,DOI:10.1007/jhep03(2017)062YiJian Du, Hui LuoA bstractIn this paper, we investigate multisoft behaviors of tree amplitudes in nonlinear sigma model (NLSM). The leading behaviors of amplitudes with odd number of alladjacent soft pions are zero. We further propose and prove that leading soft factors of amplitudes with even number alladjacent soft pions can be expressed in terms of products of the leading order BerendsGiele subcurrents in Cayley ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20161101 ,DOI:10.1007/jhep11(2016)088YiJian Du, Fei Teng, YongShi WuA 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 CachazoHeYuan formalism, that each subset of solutions gives nonzero contribution to treelevel NkMHV gauge/gravity ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20160901 ,DOI:10.1007/jhep09(2016)174YiJian Du, ChihHao FuA bstractIn this paper, we investigate the colorkinematics 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 KawaiLewellenTye relation inspired technique, both lead to polynomial numerators. We summarize the calculation in each case ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20160901 ,DOI:10.1007/jhep09(2016)171YiJian Du, Fei Teng, YongShi WuA bstractIn this paper we extend our techniques, developed in a previous paper [1] for direct evaluation of arbitrary npoint treelevel MHV amplitudes in 4d YangMills and gravity theory using the CachazoHeYuan (CHY) formalism, to the 4d EinsteinYangMills (EYM) theory. Any singletrace colorordered npoint treelevel MHV amplitude in EYM theory, obtained by a direct evaluation of the CHY formula ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20160501 ,DOI:10.1007/jhep05(2016)086YiJian Du, Fei Teng, YongShi WuA bstractIn this paper, we study the relation between the CachazoHeYuan (CHY) formula and the maximalhelicityviolating (MHV) amplitudes of YangMills 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 ParkeTaylor formula ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20150801 ,DOI:10.1007/jhep08(2015)058YiJian Du, Hui LuoA bstractIn this paper, we study the single and double soft behaviors of tree level offshell currents and onshell 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 onshell limit, this single soft emission becomes the Adler’s zero. Then we establish leading and subleading soft behaviors of ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20150501 ,DOI:10.1007/jhep05(2015)119YiJian Du, Malin Sjödahl, Johan ThorénA bstractWe investigate the construction of treelevel 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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20150301 ,DOI:10.1007/jhep03(2015)156Gang Chen, YiJian Du, Shuyi Li, Hanqing LiuA bstractIn this note, we investigate relations between treelevel offshell currents in nonlinear sigma model. Under Cayley parametrization, all oddpoint currents vanish. We propose and prove a generalized U(1) identity for evenpoint currents. The offshell U(1) identity given in [1] is a special case of the generalized identity studied in this note. The onshell limit of this identity is equivalent ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20141118 ,DOI:10.1007/JHEP11(2014)090YiJian Du,Bo Feng,ChihHao Fu,Yihong WangRecently, new soft graviton theorem proposed by Cachazo and Strominger has inspired a lot of works. In this note, we use the KLTformula to investigate the theorem. We have shown how the soft behavior of color ordered YangMills 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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20140801 ,DOI:10.1007/jhep08(2014)098ChihHao Fu, YiJian Du, Bo FengA 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 6points and show that the relabeling property is generically satisfied. ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20140601 ,DOI:10.1007/jhep06(2014)157YiJian Du, Bo Feng, ChihHao FuA bstractIn this work we extend two dual color decompositions of YangMills amplitude to oneloop level. Starting from doublecopy expression we translate the YangMills integrand into the dual Del DucaDixonMaltoni formulation and subsequently to the dual colorordered formula. The dual trace factors are obtained after simultaneously solving the oneloop KleissKuijf relations, the reflection relation ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20140101 ,DOI:10.1007/jhep01(2014)061Gang Chen, YiJian DuA bstractIn this paper, we investigate treelevel scattering amplitude relations in U(N) nonlinear sigma model. We use Cayley parametrization. As was shown in the recent works [23,24], both onshell amplitudes and offshell currents with odd points have to vanish under Cayley parametrization. We prove the offshell U(1) identity and fundamental BCJ relation for evenpoint currents. By taking the onshell ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20131001 ,DOI:10.1007/jhep10(2013)069ChihHao Fu, YiJian Du, Bo FengA bstractIn this note we provide a new construction of BCJ dualtrace 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 dualtrace factor ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20130701 ,DOI:10.1007/jhep07(2013)057YiJian Du, Bo Feng, ChihHao FuA bstractRecently, a BCJ dual of the colorordered formula for YangMills amplitude was proposed, where the dualtrace factor satisfies cyclic symmetry and KKrelation. In this paper, we present a systematic construction of the dualtrace factor based on its proposed relations to kinematic numerators in dualDDM form. We show that the construction presented respects relabeling symmetry. In addition ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20130301 ,DOI:10.1007/jhep03(2013)050ChihHao Fu, YiJian Du, Bo FengA 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 ...

Journal of High Energy Physics (IF 6.379) Pub Date : 20130101 ,DOI:10.1007/jhep01(2013)129YiJian Du, Hui LuoA bstractThe treelevel BCJ relations reveal a duality between color and kinematic structure, this can be used to reduce the number of independent colorordered amplitudes. At oneloop level in YangMills theory, we investigate a similar BCJ relation in this paper. The fourpoint oneloop example in $\mathcal{N}=4$ SYM gives hints about the relations between integrands. The fivepoint example suggests ...
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