Flow between Extremal One-Point Energy Correlators in QCD

The energy density generated by a vector current is characterized by a single parameter a_{E} bounded by unitarity to -1/2≤a_{E}≤1, with extremal values saturated by free theories of different matter content. Through confinement, QCD transmutes fermionic matter into scalars, revealing a nontrivial flow between extremal correlators. We reconstruct this flow using perturbative QCD and chiral perturbation theory. The observable is accessible with currently available experimental data.