On-shell gauge invariant three-point amplitudes
On-shell gauge invariant three-point amplitudes
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壳上仪表不变三点振幅
DOI：
10.1007/jhep12(2017)048
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发表时间：
2017-05
影响因子：
5.4
通讯作者：
张若筠
中科院分区：
文献类型：
--
作者：
Zhengdi Sun;Hui Xu;张若筠
A bstractAssuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all possible 3-point interactions for tensor fields with polarisations that have total symmetry and mixed symmetry under permutations of Lorentz indices. Constraints on the existence of gauge-invariant cubic vertices for totally symmetric fields are obtained in general spacetime dimensions and are compared with existing results obtained in the covariant and light-cone approaches.Expressing our results in spinor helicity formalism we reproduce the perhaps mysterious mismatch between the covariant approach and the light cone approach in 4 dimensions. Our analysis also shows that there exists a mismatch, in the 3-point gauge invariant amplitudes corresponding to cubic self-interactions, between a scalar field ϕ and an antisymmetric rank-2 tensor field Aμν . Despite the well-known fact that in 4 dimensions rank-2 anti-symmetric fields are dual to scalar fields in free theories, such duality does not extend to interacting theories.
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DOI：
10.1016/0550-3213(74)90355-1
发表时间：
1974-02
期刊：
Nuclear Physics
影响因子：
--
作者：
J. Wess;B. Zumino
通讯作者：
J. Wess;B. Zumino
DOI：
10.1016/0550-3213(86)90362-7
发表时间：
1986-05
期刊：
Nuclear Physics
影响因子：
--
作者：
H. Kawai;D. Lewellen;S. Tye
通讯作者：
H. Kawai;D. Lewellen;S. Tye
影响因子：
3.5
作者：
A. Bengtsson;I. Bengtsson;N. Linden
通讯作者：
A. Bengtsson;I. Bengtsson;N. Linden
影响因子：
4.4
作者：
R. R. Metsaev-R.
通讯作者：
R. R. Metsaev-R.
影响因子：
5.4
作者：
A. Fotopoulos;M. Tsulaia
通讯作者：
A. Fotopoulos;M. Tsulaia