Final Project The Coleman – Weinberg Potential

The Lagrangian density in the problem is L = − 1 4 (F µν) 2 + (D µ φ) † D µ φ − m 2 φ † φ − λ 6 (φ † φ) 2 , (1) where φ(x) is a complex scalar field in four spacetime dimensions (except for part (h)), and we are interested in the theory when m 2 = −µ 2 < 0. The covariant derivative includes the vector potential D µ φ = (∂ µ + ieA µ)φ. (2) I don't know why they chose this funny normalization for the coupling λ.