264 research outputs found
Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
It is proven by explicit construction that regularization by dimensional
reduction can be formulated in a mathematically consistent way. In this
formulation the quantum action principle is shown to hold. This provides an
intuitive and elegant relation between the D-dimensional Lagrangian and Ward or
Slavnov-Taylor identities, and it can be used in particular to study to what
extent dimensional reduction preserves supersymmetry. We give several examples
of previously unchecked cases.Comment: 19 pages, 4 figures; minor modifications, published in JHE
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