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arXiv · 1006.2800

Global Symmetries and Renormalizability of Lee-Wick Theories

R. Sekhar Chivukula·Arsham Farzinnia·Roshan Foadi·Elizabeth H. Simmons
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Abstract

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. We also compute the one-loop beta-functions in LW scalar QED and contrast them with those of ordinary scalar QED.

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R. Sekhar Chivukula, Arsham Farzinnia, Roshan Foadi, Elizabeth H. Simmons. 2010-08-02. Global Symmetries and Renormalizability of Lee-Wick Theories. https://doi.org/10.1103/physrevd.82.035015

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