N=4 super-Yang-Mills NMHV loop amplitude in superspace

被引：14

作者：

Huang, YT ^{[1
]}

机构：

[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA

来源：

PHYSICS LETTERS B | 2005年 / 631卷 / 04期

关键词：

D O I：

10.1016/j.physletb.2005.10.012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Here we construct N = 4 super-Yang-Mills 6 point NMHV loop amplitude (amplitudes with three minus helicities) as a full superspace form, using the SU(4)(R) anti-commuting spinor variables. Amplitudes with different external particle and cyclic helicity ordering are then just a particular expansion of this fermionic variable. We have verified this by explicit expansion obtaining amplitudes with two gluinos calculated before. We give results for all gluino A(Lambda(-)Lambda(-)Lambda(-)Lambda(+)Lambda(+)Lambda(+)) and all scalar A(phi phi phi phi phi phi) scattering amplitudes. A discussion of using MHV vertex approach to obtain these amplitudes are given, which implies a possible simplification for general loop amplitudes. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：177 / 186

页数：10

共 20 条

[1] All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory -: art. no. 045006 [J].

Bern, Z ;

Del Duca, V ;

Dixon, LJ ;

Kosower, DA .

PHYSICAL REVIEW D, 2005, 71 (04) :045006-1

[2]

Bern Z, 2004, J HIGH ENERGY PHYS, DOI 10.1088/1126-6708/2004/08/012

[3] 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

[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]

BIDDER SJ, HEPTH0505249

[7] One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices [J].

Brandhuber, A ;

Spence, B ;

Travaglini, G .

NUCLEAR PHYSICS B, 2005, 706 (1-2) :150-180

[8] All split helicity tree-level gluon amplitudes [J].

Britto, R ;

Feng, B ;

Roiban, R ;

Spradlin, M ;

Volovich, A .

PHYSICAL REVIEW D, 2005, 71 (10)

[9] Direct proof of the tree-level scattering amplitude recursion relation in Yang-Mills theory [J].

Britto, R ;

Cachazo, F ;

Feng, B ;

Witten, E .

PHYSICAL REVIEW LETTERS, 2005, 94 (18)

[10] New recursion relations for tree amplitudes of gluons [J].

Britto, R ;

Cachazo, F ;

Feng, B .

NUCLEAR PHYSICS B, 2005, 715 (1-2) :499-522

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