Global Symmetries and Renormalizability of Lee-Wick Theories

Understand

In this paper we discuss the global symmetries and the renormalizibility of Lee-Wick scalar QED.

• In particular, in the "auxiliary-field" formalism we identify softly broken SO(1,1) global symmetries of the theory.
• We introduce SO(1,1) invariant gauge-fixing conditions that allow us to show in the two-field formalism directly that the number of superficially divergent amplitudes in a LW Abelian gauge theory is finite.
• To illustrate the renormalizability of the theory, we explicitly carry out the one-loop renormalization program in LW scalar QED and demonstrate how the counterterms required are constrained by the joint conditions of gauge- and SO(1,1)-invariance.