In Mark Srednicki's book "Quantum Field Theory"(adsbygoogle = window.adsbygoogle || []).push({});

He says that a tensor field [itex] B^{αβ} [/itex] with no particular symmetry can be written as :-

[itex] B^{αβ} = A^{αβ} + S^{αβ} + (1/4) g^{αβ} T(x) [/itex] Equn. 33.6

where A - Antisymmetric, S = symmetric and T(x) = trace of [itex] B^{αβ} [/itex] .

Is there any reason for explicit addition of trace term ?

Coz generally we split things into symmetric and antisymmetric parts and trace is included in symmetric part.

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# Irreducible representation of tensor field

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