Renormalization of the antisymmetric tensor field propagator and dynamical generation of the $1^{+-}$ mesons in Resonance Chiral Theory

TL;DR

This paper explores how renormalization in Resonance Chiral Theory can dynamically generate $1^{+-}$ mesons from the $1^{--}$ vector meson propagator at one loop, revealing new degrees of freedom.

Contribution

It demonstrates that the renormalized propagator can develop additional poles corresponding to $1^{+-}$ mesons, a novel insight into meson dynamics.

Findings

Additional poles indicating $1^{+-}$ mesons can be generated through renormalization.

The study provides a concrete example of dynamical generation of new meson states.

Renormalization affects the structure of the vector meson propagator in resonance chiral theory.

Abstract

We discuss the renormalization of the $1^{--}$ vector meson propagator within Resonance chiral theory at one loop. Using the particular form of the interaction Lagrangian we show that additional poles of the renormalized propagator corresponding to $1^{+-}$ degrees of freedom can be generated. We give a concrete example of such an effect.