论文标题
d维山米尔斯理论中散射幅度的紫外线分歧
UV Divergences of Scattering Amplitudes in D-dimensional Yang-Mills Theories
论文作者
论文摘要
我们认为，在单循环顺序以任意d量为单位中的壳平面gluon-gluon散射幅度的紫外线差异。使用标准的Feynman图技术评估幅度，以实现多种外部Gluon极化的选择。使用passarino -veltman降低，构建标量主积分的扩展，并在尺寸正则化范围内执行其计算。在各种情况下，所得表达式面临现有结果，包括d = 4、6、8和10维中的最大超对称理论。人们发现，与d = 4的情况相反，在d = 6个单环紫外线差异中取消，而在d = 8和10中，量规，标量和费米昂环路的贡献具有相同的符号。
We consider UV divergences for the on-shell planar gluon-gluon scattering amplitudes in the gauge theory in arbitrary D-dimensions in the one-loop order. The amplitudes are evaluated using the standard Feynman diagram technique for several choices of external gluon polarizations. Using the Passarino - Veltman reduction, the expansion in terms of the scalar master integrals is constructed and their calculation is performed within dimensional regularization. The resulting expressions are confronted with existing results for various cases, including maximally supersymmetric theories in D=4, 6, 8, and 10 dimensions. One finds that, contrary to the D=4 case, in D=6 one-loop UV divergences cancel, while in D=8 and 10 the contributions of gauge, scalar and fermion loops have the same sign.
