Asymptotic Freedom and Infrared slavery in PT-symmetric Quantum Electrodynamics

TL;DR

This paper demonstrates that PT-symmetric Quantum Electrodynamics cannot be finite and always exhibits asymptotic freedom and infrared slavery, with the beta function negative for all positive coupling constants.

Contribution

It establishes the non-existence of finite PT-symmetric QED and characterizes its renormalization group behavior as always asymptotically free and infrared enslaved.

Findings

Beta function is negative for all positive alpha

PT-symmetric QED is not finite

Exhibits both asymptotic freedom and infrared slavery

Abstract

We establish that there is no finite PT-symmetric Quantum Electrodynamics (QED) and as a consequence the Callan-Symanzik function $\beta(\alpha)<0$ for all $\alpha$ greater than zero: PT-symmetric QED exhibits both asymptotic freedom and infrared slavery.