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Field Theory
Gauge Theory
Recursion Relation
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Gauge amplitude identities by onshell recursion relation in Smatrix program
Gauge amplitude identities by onshell recursion relation in Smatrix program,10.1016/j.physletb.2010.11.011,Physics Letters B,Bo Feng,Rijun Huang,Yin
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Gauge amplitude identities by onshell recursion relation in Smatrix program
(
Citations: 12
)
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Bo Feng
,
Rijun Huang
,
Yin Jia
Using only the Britto–Cachazo–Feng–Witten (BCFW) onshell
recursion relation
we prove colororder reversed relation, U(1)decoupling relation, Kleiss–Kuijf (KK) relation and Bern–Carrasco–Johansson (BCJ) relation for colorordered gauge amplitude in the framework of Smatrix program without relying on Lagrangian description. Our derivation is the first pure
field theory
proof of the new discovered BCJ identity, which substantially reduces the colorordered basis from (n−2)! to (n−3)!. Our proof gives also its physical interpretation as the mysterious bonus relation with 1z2 behavior under suitable onshell deformation for no adjacent pair.
Journal:
Physics Letters B  PHYS LETT B
, vol. 695, no. 1, pp. 350353, 2011
DOI:
10.1016/j.physletb.2010.11.011
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Citation Context
(7)
...The new discovered fundamental BCJ relation (as well as KK relation) and KLT relation have been proved by BrittoCachazoFengWitten(BCFW) onshell recursion relation [18, 19] along the line of Smatrix program [20, 21] in [
11
, 13] and [14–17]...
...The (n − 3)! expression can also be derived only from the fundamental BCJ relation and KK relation [
11
]...
...Though we can always express a given amplitude in the minimal basis by using the fundamental BCJ relation and KK relation [
11
], it is difficult to derive a general expression of the minimalbasis expansion [2] in this way...
...To show this is true, there are two possible ways to go. The first way is to use the fundamental BCJ relation recursively [
11
], while the second way, the BCFW recursion relation [18, 19]...
...It is worth to notice that the method of proof is similar to the one used for the fundamental BCJ relation [
11
]...
YiXin Chen
,
et al.
A proof of the explicit minimalbasis expansion of tree amplitudes in ...
...monodromy relations in string theory [18] (see also [21–26] and [27–29] for an alternative string theory approach), but have now also been proven using pure field theory [
30
, 31]...
N. E. J. BjerrumBohr
,
et al.
Monodromylike relations for finite loop amplitudes
...The proof are similarly with in the pure gluon case [
7
]...
...To see this, we should count the number of terms in each expression as in [
7
]...
YiXin Chen
,
et al.
On tree amplitudes with gluons coupled to gravitons
...This leads one to suspect for instance that loop level relations for integrands like those conjectured in [45] between gauge theory and gravity can be proven just as the tree level version of these relations [46] can be proven from nonadjacent BCFW shifts [
47
] (see also [48])...
Rutger H. Boels
,
et al.
On BCFW shifts of integrands and integrals
...In a series of papers, Bern and his collaborators [1–3], and others using string theory insights [4] or through the use of the BCFW [5] recursion relations 1 [
9
], obtained some very...
...A related observation (see [4,
9
]) is that the KleissKuijf amplitudes matrix A obeys a set of constraints which can be summarized by the following equation: �...
Diana Vaman
,
et al.
Constraints and generalized gauge transformations on treelevel gluon ...
References
(1)
The analytic Smatrix
(
Citations: 389
)
R. J. Eden
,
P. V. Landshoff
,
D. I. Olive
Published in 1966.
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Citations
(12)
The momentum kernel of gauge and gravity theories
(
Citations: 2
)
N. E. J. BjerrumBohr
,
Poul H. Damgaard
,
Thomas Søndergaard
,
Pierre Vanhove
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 118, 2011
Treelevel recursion relation and dual superconformal symmetry of the ABJM theory
(
Citations: 2
)
Dongmin Gang
,
YuTin Huang
,
Eunkyung Koh
,
Sangmin Lee
,
Arthur E. Lipstein
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 3, pp. 151, 2011
A proof of the explicit minimalbasis expansion of tree amplitudes in gauge field theory
(
Citations: 1
)
YiXin Chen
,
YiJian Du
,
Bo Feng
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 2, pp. 122, 2011
Monodromylike relations for finite loop amplitudes
N. E. J. BjerrumBohr
,
P. H. Damgaard
,
H. Johansson
,
T. Søndergaard
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 5, pp. 124, 2011
On tree amplitudes with gluons coupled to gravitons
YiXin Chen
,
YiJian Du
,
Bo Feng
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 133, 2011