@article{TEXTUAL,
      recid = {12112},
      author = {Chu, Jinwei and Kharel, Savan},
      title = {Toward the Feynman rule for $n$-point gluon Mellin  amplitudes in $AdS/CFT$},
      journal = {Physical Review D},
      address = {2024-05-02},
      number = {TEXTUAL},
      abstract = {We investigate the embedding formalism in conjunction with  the Mellin transform to determine tree-level gluon  amplitudes in $AdS/CFT$. Detailed computations of three to  five-point correlators are conducted, ultimately distilling  what were previously complex results for five-point  correlators into a more succinct and comprehensible form.  We then proceed to derive a recursion relation applicable  to a specific class of n-point gluon amplitudes. This  relation is instrumental in systematically constructing  amplitudes for a range of topologies. We illustrate its  efficacy by specifically computing six to eight-point  functions. Despite the complexity encountered in the  intermediate steps of the recursion, the higher-point  correlator is succinctly expressed as a polynomial in  boundary coordinates, upon which a specific differential  operator acts. Remarkably, we observe that these amplitudes  strikingly mirror their counterparts in flat space,  traditionally computed using standard Feynman rules. This  intriguing similarity has led us to propose a novel  dictionary: comprehensive rules that bridge AdS Mellin  amplitudes with flat-space gluon amplitudes. },
      url = {http://knowledge.uchicago.edu/record/12112},
}