Loops in twistor space

被引:55
作者
Bena, I [1 ]
Bern, Z
Kosower, DA
Roiban, R
机构
[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
[2] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
[3] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
[4] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
来源
PHYSICAL REVIEW D | 2005年 / 71卷 / 10期
关键词
D O I
10.1103/PhysRevD.71.106010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We elucidate the one-loop twistor-space structure corresponding to momentum-space maximally helicity-violating diagrams. We also discuss the infrared divergences, and argue that only a limited set of maximally helicity-violating diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the "holomorphic anomaly" pointed out by Cachazo, Svrcek, and Witten, and use the result to define modified differential operators which can be used to probe the twistor-space structure of one-loop amplitudes.
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页数:12
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共 38 条
[1]   Multigluon amplitudes, N=4 constraints, and the Wess-Zumino-Witten model -: art. no. 025002 [J].
Abe, Y ;
Nair, VP ;
Park, MI .
PHYSICAL REVIEW D, 2005, 71 (02) :025002-1
[2]  
[Anonymous], COMMUNICATION
[3]  
BENA I, HEPTH0406133
[4]   RECURSIVE CALCULATIONS FOR PROCESSES WITH N GLUONS [J].
BERENDS, FA ;
GIELE, WT .
NUCLEAR PHYSICS B, 1988, 306 (04) :759-808
[5]   Alternative string theory in twistor space for N=4 super-Yang-Mills theory -: art. no. 011601 [J].
Berkovits, N .
PHYSICAL REVIEW LETTERS, 2004, 93 (01) :011601-1
[6]  
Berkovits N, 2004, J HIGH ENERGY PHYS
[7]   Massive loop amplitudes from unitarity [J].
Bern, Z ;
Morgan, AG .
NUCLEAR PHYSICS B, 1996, 467 (03) :479-509
[8]  
Bern Z, 2004, J HIGH ENERGY PHYS, DOI 10.1088/1126-6708/2004/08/012
[9]   One-loop amplitudes for e+e- to four partons [J].
Bern, Z ;
Dixon, L ;
Kosower, DA .
NUCLEAR PHYSICS B, 1998, 513 (1-2) :3-86
[10]   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