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A unified approach to Fierz identities

High Energy Physics - Theory 2016-11-08 v1

Abstract

We summarize a unified and computationally efficient treatment of Fierz identities for form-valued pinor bilinears in various dimensions and signatures, using concepts and techniques borrowed from a certain approach to spinors known as geometric algebra. Our formulation displays the real, complex and quaternionic structures in a conceptually clear manner, which is moreover amenable to implementation in various symbolic computation systems.

Keywords

Cite

@article{arxiv.1303.1575,
  title  = {A unified approach to Fierz identities},
  author = {Elena-Mirela Babalic and Ioana-Alexandra Coman and Calin Iuliu Lazaroiu},
  journal= {arXiv preprint arXiv:1303.1575},
  year   = {2016}
}

Comments

6 pages, 5 tables, proceedings for TIM-12 Conference of Physics