论文标题

n = 4个超级阳米尔斯相关器,而无需反交易变量

N=4 super Yang-Mills correlators without anti-commuting variables

论文作者

Nicolai, Hermann, Plefka, Jan

论文摘要

可以通过非线性和非局部转化(`Nicolai Map''(`Nicolai Map')重新构图纯度超对称的阳米尔米尔理论的量子相关因子,并可以将相互作用理论的完整功能度量映射到自由肺理论的全部功能衡量。作为一个特殊应用,我们表明,对于最大扩展的n = 4理论,在四个维度上,直到O(g^2),所有已知的标量相关器的结果都可以以这种方式恢复,而无需任何使用反向交易变量,就纯粹的胡椒和幽灵函数量度量度指标。这尤其包括扩张算子产生复合算子的异常尺寸。因此,形式主义具有更具标准的扰动技术的竞争力。

Quantum correlators of pure supersymmetric Yang-Mills theories in D=3,4,6 and 10 dimensions can be reformulated via the non-linear and non-local transformation (`Nicolai map') that maps the full functional measure of the interacting theory to that of a free bosonic theory. As a special application we show that for the maximally extended N=4 theory in four dimensions, and up to order O(g^2), all known results for scalar correlators can be recovered in this way without any use of anti-commuting variables, in terms of a purely bosonic and ghost free functional measure for the gauge fields. This includes in particular the dilatation operator yielding the anomalous dimensions of composite operators. The formalism is thus competitive with more standard perturbative techniques.

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