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Calculating the Fierz Transformation for Higher Orders

✍ Scribed by J.A. Maruhn; T. Bürvenich; D.G. Madland

Book ID
102587549
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
50 KB
Volume
169
Category
Article
ISSN
0021-9991

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✦ Synopsis

We consider the higher-order Fierz transformation, which corresponds to expanding a product of ψ ψ terms into a sum of products of Dirac densities and currents. It is shown that the Fierz transformation can be obtained by solving a large system of linear equations with fractional complex coefficients, which is practical at least up to fourth power.

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## Abstract In coordinate‐transformation‐based approaches to electromagnetic concealment (“cloaking”) of objects, use of higher‐order (quadratic) mappings has been proposed as an effective device to obtain satisfactory responses without the use of magnetic materials that are complicated to synthesi