论文标题
标量场的自由共形场理论中能量量张量的四点相关函数
The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
论文作者
论文摘要
我们为标量场的自由和同型不变理论提供了在4个时空维度中的能量弹药张量的四点函数的明确动量空间计算。结果是通过通过张量减少对Feynman图的明确评估获得的。我们通过将标量场理论嵌入引力背景中，始终如一地与共形不变性，以得出相关因子所组成的所有术语以及由一般协方差和异常的Weyl对称性所隐含的所有病房身份。我们在几种运动学配置中数值测试所有这些身份。 Mathematica笔记本详细介绍了逐步计算，可以通过GitHub存储库公开获得。据我们所知，这是能量弹药张量的四点相关函数的第一个明确结果，在保形和非超对称场理论中，在任何运动构型中都可以在数值上可以评估。
We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit evaluation of the Feynman diagrams by tensor reduction. We work by embedding the scalar field theory in a gravitational background consistently with conformal invariance in order to derive all the terms the correlator consists of and all the Ward identities implied by the requirements of general covariance and anomalous Weyl symmetry. We test all these identities numerically in several kinematic configurations. Mathematica notebooks detailing the step-by-step computation are made publicly available through a GitHub repository. To the best of our knowledge, this is the first explicit result for the four-point correlation function of the energy-momentum tensor in a conformal and non supersymmetric field theory which is readily numerically evaluable in any kinematic configuration.
