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## Main Question or Discussion Point

In most of the physics textbooks I read they only give one or two representations of gamma matrices, but none gives a proof, so how can I prove it from the Clifford algebra?

- Thread starter kof9595995
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- #1

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In most of the physics textbooks I read they only give one or two representations of gamma matrices, but none gives a proof, so how can I prove it from the Clifford algebra?

- #2

strangerep

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??? The form of gamma matrices is not unique in general.In most of the physics textbooks I read they only give one or two representations of gamma matrices, but none gives a proof, so how can I prove it from the Clifford algebra?

Consider similarity transformations like:

[tex]

\gamma' ~=~ W \, \gamma \, W^{-1}

[/tex]

Such new gammas still satisfy the defining Clifford algebra relations.

(Or did I misunderstand your question?)

- #3

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I mean, given a basis, gamma matrices must be unique, aren't they?

- #4

strangerep

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Er, whatI mean, given a basis, gamma matrices must be unique, aren't they?

(I'm still having trouble understanding what point is bugging you... :-)

- #5

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I think this should be a quite famous theorem, but I don't know where to find it.

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