论文标题
从Feynman图表到Witten图
From Feynman graphs to Witten diagrams
论文作者
论文摘要
我们研究了在大N自由量子场理论中概括Witten图的gopakumar的微观推导[1]的可能性。为简单起见，我们考虑了一个无质量的矩阵有价值的真实标量场，其中$φ^h $相互作用在d-dimensions中。使用Schwinger的正确时间公式并按照循环$ \ ell $的数量组织feynman图的总和，我们表明，两点函数可以表示为$ ads_ {d+1} $的批量标量的边界到边界传播量的总和，并通过$ \ ell $ $ \ ell $确定质量。
We investigate the possibility of generalizing Gopakumar's microscopic derivation [1] of Witten diagrams in large N free quantum field theory to interacting theories. For simplicity we consider a massless, matrix valued real scalar field with $Φ^h$ interaction in d-dimensions. Using Schwinger's proper time formulation and organizing the sum over Feynman graphs by the number of loops $\ell$, we show that the two-point function can be expressed as a sum over boundary-to-boundary propagators of bulk scalars in $AdS_{d+1}$ with mass determined by $\ell$.
