The regularized BRST Jacobian of pure Yang-Mills theory

Details The regularized BRST Jacobian of pure Yang-Mills theory The regularized BRST Jacobian of pure Yang-Mills theory

1992-06-25

arxiv.org/abs/hep-th/9206097v1

Phys.Lett. B289 (1992) 354-360

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, CERN-TH.6541/92, KUL-TF-92/24

Scientific paper

10.1016/0370-2693(92)91231-W

The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the trace of $\Delta J$ vanishes, being proportional to the trace of the structure constants. However, the consistent regulator $\cR$, constructed from a general method, also contains off-diagonal terms. An explicit computation demonstrates that the regularized Jacobian $Tr\ \Delta J\exp -\cR /M^2$ for $M^2\rightarrow \infty $ is the variation of a local counterterm, which we give. This is a direct proof at the level of path integrals that there is no BRST anomaly.

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