An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions by Carlo M. Becchi & Giovanni Ridolfi

Author:Carlo M. Becchi & Giovanni Ridolfi
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(7.6)

We would like to rewrite in the form of a Noether current,

(7.7)

where are the components of a multiplet in some representation of the (as yet unknown) gauge group, and are the corresponding generators. This can be done in the following way. We observe that the current can be written as

(7.8)

where

(7.9)

and are the usual Pauli matrices,

(7.10)

The hermitian conjugate current

(7.11)

will also participate in the interaction. As we have seen in Sect. 6.​3, the currents are in one-to-one correspondence with the generators of the symmetry group, which, in turn, form a closed set with respect to the commutation operation. Therefore, the current

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