Supersymmetry in Elementary Particle Physics · Problem 2.4

Formalism of Supersymmetry

Physics — Particle Physics · lagrangian-invariance-check

Problem

Verify the invariance of the Lagrangian L=∂mϕ∗∂mϕ+ψ†iσˉ⋅∂ψ+F∗F\mathrm{L} = \partial^m \phi^* \partial_m \phi + \psi^\dagger i\bar{\sigma}\cdot\partial\psi + F^* F under the supersymmetry transformation (27) by carrying out the computation in equation (32) in full detail, confirming that δξL=0\delta_\xi \mathrm{L} = 0.

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