Srednicki — Quantum Field Theory · Problem 24.3

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · nonabelian-symmetries-noether-charges

Problem

a) Find the Noether current

j^{a\mu}

for the transformation of eq. (24.6). b) Show that

[\phi_i, Q^a] = (T^a)_{ij}\phi_j

, where

Q^a

is the Noether charge. c) Use this result, eq. (24.7), and the Jacobi identity (see problem 2.8) to show that

[Q^a, Q^b] = if^{abc}Q^c