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Calin Iuliu Lazaroiu
기하학 수리물리 연구단
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The geometric algebra of Fierz identities in arbitrary dimensions and signatures

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Title
The geometric algebra of Fierz identities in arbitrary dimensions and signatures
Author(s)
C.I. Lazaroiu; E.M. Babalic; I.A. Coman
Publication Date
2013-09
Journal
Journal of High Energy Physics, v.9, no., pp.156-1 - 156-72
Publisher
Springer
Abstract
We use geometric algebra techniques to give a synthetic and computationally efficient approach to Fierz identities in arbitrary dimensions and signatures, thus generalizing previous work. Our approach leads to a formulation which displays the underlying real, complex or quaternionic structure in an explicit and conceptually clear manner and is amenable to implementation in various symbolic computation systems. We illustrate our methods and results with a few examples which display the basic features of the three classes of pin representations governing the structure of such identities in various dimensions and signatures.
URI
http://pr.ibs.re.kr/handle/8788114/1264
DOI
10.1007/JHEP09(2013)156
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2013-09-30-J of High Energy Physics_The_geometric_algebra_of_Fierz_identities_in_arbitrary_dimensions_and_signatures.pdfDownload

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