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The Regularized BRST Jacobian of pure Yang-Mills theory

By F. de Jonghe, R. Siebelink, W. Troost, S. Vandoren, P. van Nieuwenhuizen and A. Van Proeyen


The Jacobian for infinitesimal BRST transformations of path in-\ud tegrals for pure Yang-Mills theory, viewed as a matrix 1 + #1;J\ud in the space of Yang-Mills fields and (anti)ghosts, contains off-\ud diagonal terms. Naively, the trace of #1;J vanishes, being propor-\ud tional to the trace of the structure constants. However, the con-\ud sistent regulator R, constructed from a general method, also con-\ud tains off-diagonal terms. An explicit computation demonstrates\ud that the regularized Jacobian Tr #1;J exp−R/M2 for M2 → ∞ is the variation of a local counterterm, which we give. This is a\ud direct proof at the level of path integrals that there is no BRST\ud anomaly

Topics: Natuur- en Sterrenkunde
Publisher: Elsevier
Year: 1992
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