English

Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry

High Energy Physics - Phenomenology 2008-11-26 v3

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0503129,
  title  = {Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry},
  author = {Dominik Stöckinger},
  journal= {arXiv preprint arXiv:hep-ph/0503129},
  year   = {2008}
}

Comments

19 pages, 4 figures; minor modifications, published in JHEP

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