The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization

Details The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization

2009-05-10

arxiv.org/abs/0905.1479v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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