Srednicki — Quantum Field Theory · Problem 95.4

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · supersymmetric-qed-lagrangian

Problem

Supersymmetric Quantum Electrodynamics. Consider a supersymmetric U(1) gauge theory with chiral superfields

\Phi

and

\overline{\Phi}

with charges

+1

and

-1

, respectively. Here the bar over the

\Phi

in the field

\overline{\Phi}

is part of the name of the field, and does not denote any sort of conjugation. We include a gauge invariant superpotential

W = m\Phi\overline{\Phi}

. a) Work out the lagrangian in terms of the component fields. b) Eliminate the auxilliary fields

F

\overline{F}

, and

D