New recursion relations for tree amplitudes of gluons

被引:742
作者
Britto, R [1 ]
Cachazo, F [1 ]
Feng, B [1 ]
机构
[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.nuclphysb.2005.02.030
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of two amplitudes of fewer particles multiplied by a Feynman propagator. The two amplitudes in each term are physical, in the sense that all particles are on-shell and momentum conservation is preserved. This is striking, since it is just like adding certain factorization limits of the original amplitude to build up the full answer. As examples, we recompute all known tree-level amplitudes of up to seven gluons and show that our recursion relations naturally give their most compact forms. We give a new result for an eight-gluon amplitude, A(1(+), 2(-), 3(+), 4(-), 5(+), 6(-), 7(+), 8(-)). We show how to build any amplitude in terms of three-gluon amplitudes only. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:499 / 522
页数:24
相关论文
共 31 条
[1]  
BENA I, TWISTOR SPACE RECURS
[2]   EXACT AND APPROXIMATE EXPRESSIONS FOR MULTIGLUON SCATTERING [J].
BERENDS, FA ;
GIELE, WT ;
KUIJF, H .
NUCLEAR PHYSICS B, 1990, 333 (01) :120-159
[3]   RECURSIVE CALCULATIONS FOR PROCESSES WITH N GLUONS [J].
BERENDS, FA ;
GIELE, WT .
NUCLEAR PHYSICS B, 1988, 306 (04) :759-808
[4]   FUSING GAUGE-THEORY TREE AMPLITUDES INTO LOOP AMPLITUDES [J].
BERN, Z ;
DIXON, L ;
DUNBAR, DC ;
KOSOWER, DA .
NUCLEAR PHYSICS B, 1995, 435 (1-2) :59-101
[5]   ONE-LOOP N-POINT GAUGE-THEORY AMPLITUDES, UNITARITY AND COLLINEAR LIMITS [J].
BERN, Z ;
DIXON, L ;
DUNBAR, DC ;
KOSOWER, DA .
NUCLEAR PHYSICS B, 1994, 425 (1-2) :217-260
[6]  
BERN Z, NONMAXIMALLY HELICIT
[7]   MHV vertices and tree amplitudes in gauge theory [J].
Cachazo, F ;
Svrcek, P ;
Witten, E .
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (09) :111-131
[8]  
Dixon L. J., CALCULATING SCATTERI
[9]  
Dixon LJ, 2004, J HIGH ENERGY PHYS
[10]  
ENA I, TWISTOR SPACE RECURS