Griffiths Introduction to Elementary Particles · Problem 9.5

Quantum Chromodynamics — David J. Griffiths

Physics — QFT · su3-structure-constants

Problem

Work out the structure constants

f^{\alpha\beta\gamma}

SU(3)

, defined by

[\lambda^\alpha, \lambda^\beta] = 2if^{\alpha\beta\gamma}\lambda^\gamma

, using the Gell-Mann matrices (9.9), and confirm the values listed in equation (9.11).