An Introduction To Quantum Field Theory - M. Peskin, D. Schroeder (Perseus, 1995) · Problem 15.2

Non-Abelian Gauge Invariance — M. Peskin, D. Schroeder (Perseus, 1995)

Physics — QFT · non-abelian-gauge-invariance

Problem

Write down the basis matrices of the adjoint representation of

SU(2)

. Compute

C(G)

and

C_2(G)

directly from their definitions (15.78) and (15.92).