gamma5最右序在维数正则化中的优势
The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization
摘要:
我们提出了一个gamma 5计划在维度正则化后,所有的gamma 5矩阵已被移动到最右边的位置解析继续的尺寸。所有费曼振幅对应的图没有费米子环调节以这种方式自动满足沃德-高桥恒等式。这与Breitenlohner和Maison的方案相反,在该方案中,需要有限的反项来恢复规范不变性。这个最右边的gamma 5方案也有一个优点,超过了天真的维数正则化方案,它没有一个明确的规定符合规范对称性。有费米子环的图可以通过在每个费米子环上选择一个适当的切割点来处理,以扮演最右边位置的点的角色。
英文摘要:
We propose a gamma5 scheme in dimensional regularization by analytically continuing the dimension after all the gamma5 matrices have been moved to the rightmost position. All Feynman amplitudes corresponding to diagrams with no fermion loops regulated in this manner automatically satisfy the Ward-Takahashi identities. This is in contrast to the scheme of Breitenlohner and Maison, in which finite counter-terms are needed to restore gauge invariance. This rightmost gamma5 scheme also has an advantage over the naive dimensional regularization scheme which does not have a definitive prescription consistent with gauge symmetry. Diagrams with fermion loops can be handled by selecting a proper cut point on each fermion loop to play the role of the point of the rightmost position.
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