arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1004.0693hep-thgr-qchep-ph
收藏

引力作为规范理论的平方

Gravity as the Square of Gauge Theory

Zvi Bern, Tristan Dennen, Yu-tin Huang, Michael Kiermaier

备注：
32 pages, 4 figures
发表信息：
Phys.Rev.D82:065003,2010
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们探讨的后果，最近发现的颜色和运动学之间的二元性，它指出，运动分子的规范理论振幅的图解扩展可以安排，以满足雅可比式的身份在一对一的对应关系，以相关的颜色因素。使用上壳递归关系，我们给出了一个场论证明，表明对偶性意味着引力中的图解分子只是两个相应规范理论分子的乘积，如前所述。这些平方关系表示重力振幅的规范理论成分，是一个重铸的河合，Lewellen和泰关系。假设循环振幅的分子可以被安排以满足对偶性，我们的树级证明立即通过么正性方法进行到循环级。然后，我们提出了一个杨-米尔斯拉格朗日通过五个点的图显然满足颜色和运动学之间的对偶。这种拉格朗日量的存在表明，对偶性也延伸到循环振幅，在两个和三个循环在一个并发的文件中证实。通过对新的杨-米尔斯拉格朗日量进行“平方”，我们立即得到它的引力对应量。我们概述了这些拉格朗日的一般结构较高的点。我们还写下各种新的表示规范理论和重力振幅，遵循颜色和运动学之间的二元性。

英文摘要：

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in one-to-one correspondence to the associated color factors. Using on-shell recursion relations, we give a field-theory proof showing that the duality implies that diagrammatic numerators in gravity are just the product of two corresponding gauge-theory numerators, as previously conjectured. These squaring relations express gravity amplitudes in terms of gauge-theory ingredients, and are a recasting of the Kawai, Lewellen and Tye relations. Assuming that numerators of loop amplitudes can be arranged to satisfy the duality, our tree-level proof immediately carries over to loop level via the unitarity method. We then present a Yang-Mills Lagrangian whose diagrams through five points manifestly satisfy the duality between color and kinematics. The existence of such Lagrangians suggests that the duality also extends to loop amplitudes, as confirmed at two and three loops in a concurrent paper. By "squaring" the novel Yang-Mills Lagrangian we immediately obtain its gravity counterpart. We outline the general structure of these Lagrangians for higher points. We also write down various new representations of gauge-theory and gravity amplitudes that follow from the duality between color and kinematics.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑