Exact Scale Invariance of Composite-Field Coupling Constants

TL;DR

This paper demonstrates that the coupling constant of a quantum-induced composite field remains exactly scale invariant due to its compositeness condition, supported by calculations in specific models.

Contribution

It proves the exact scale invariance of composite-field coupling constants based on the compositeness condition, extending previous approximate results.

Findings

Coupling constants of composite fields are scale invariant.

Scale invariance holds exactly, not just approximately.

Supported by calculations in next-to-leading order in 1/N models.

Abstract

We show that the coupling constant of a quantum-induced composite field is scale invariant due to its compositeness condition. It is first demonstrated in next-to-leading order in 1/N in typical models, and then we argue that it holds exactly.