Recursive relations for a quiver gauge theory

Details Recursive relations for a quiver gauge theory Recursive relations for a quiver gauge theory

2006-07-12

arxiv.org/abs/hep-th/0607075v2

JHEP0610:026,2006

Physics

High Energy Physics

High Energy Physics - Theory

33 pages and 2 figures, minor corrections

Scientific paper

10.1088/1126-6708/2006/10/026

We study the recursive relations for a quiver gauge theory with the gauge group $SU(N_1)\times SU(N_2)$ with bifundamental fermions transforming as $(N_1,\bar{N_2})$. We work out the recursive relation for the amplitudes involving a pair of quark and antiquark and gluons of each gauge group. We realize directly in the recursive relations the invariance under the order preserving permutations of the gluons of the first and the second gauge group. We check the proposed relations for MHV, 6-point and 7-point amplitudes and find the agreements with the known results and the known relations with the single gauge group amplitudes. The proposed recursive relation is much more efficient in calculating the amplitudes than using the known relations with the amplitudes of the single gauge group.

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