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arXiv 1003.2403hep-th
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色序放大器的Monodromy和Jacobi类关系

Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes

N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Thomas Sondergaard, Pierre Vanhove

摘要:

讨论了规范理论中不同色序振幅之间的单值关系。我们表明,雅可比样的关系伯尔尼,卡拉斯科和约翰松可以引入的方式是兼容这些单值关系。类雅可比关系并不是满足这一准则的最一般的方程组。通过KLT关系式可以直接应用于超重力振幅。我们明确地展示了树级关系如何在循环级产生非平凡的身份。

英文摘要:

We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level.

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