Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes

Details Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes

2010-07-20

arxiv.org/abs/1007.3475v2

JHEP 1011:028,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, JHEP version, Appendix A expanded, one typo fixed

Scientific paper

10.1007/JHEP11(2010)028

Writing the fully color dressed and graviton amplitudes, respectively, as ${\bf A}= = $ and ${\bf A}_{gr}= <\tilde N|M|N> $, where $|A> $ is a set of Kleiss-Kuijf color-ordered basis, $|N>, $|\tilde N> $ and $|C>$ are the similarly ordered numerators and color coefficients, we show that the propagator matrix $M$ has $(n-3)(n-3)!$ independent eigenvectors $|\lambda ^0_j>$ with zero eigenvalue, for $n$-particle processes. The resulting equations $<\lambda ^0_j|A> = 0$ are relations among the color ordered amplitudes. The freedom to shift $|N> \to |N> +\sum_j f_j|\lambda ^0_j>$ and similarly for $|\tilde N>$, where $f_j$ are $(n-3)(n-3)!$ arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore, $f_j$ can be promoted to the role of effective Lagrangian vertices in the field operator space.

Affiliated with

Also associated with

No associations

Rating

Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126272