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Flow between Extremal One-Point Energy Correlators in QCD.

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Quantum Chromodynamics (QCD) reveals how matter transforms under confinement. This study reconstructs the flow between extremal energy correlators using perturbative QCD and chiral perturbation theory.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory

Background:

  • The energy density from a vector current is defined by a parameter a_E, constrained by unitarity (-1/2 ≤ a_E ≤ 1).
  • Extremal values of a_E are typically reached in free theories with distinct matter content.

Purpose of the Study:

  • To investigate the non-trivial flow of energy density correlators in Quantum Chromodynamics (QCD).
  • To understand how QCD's confinement mechanism transmutes fermionic matter into scalars.
  • To reconstruct this flow using established theoretical frameworks.

Main Methods:

  • Utilizing perturbative Quantum Chromodynamics (pQCD) for high-energy regime analysis.
  • Employing chiral perturbation theory (ChPT) for low-energy regime analysis.
  • Reconstructing the theoretical flow between extremal correlators.

Main Results:

  • Demonstrated a non-trivial flow connecting extremal energy correlators in QCD.
  • Showcased the transmutation of fermionic matter into scalars via confinement.
  • Established the theoretical framework for reconstructing this flow.

Conclusions:

  • The study successfully reconstructs the flow of energy density correlators in QCD.
  • The observable is experimentally accessible with current technology.
  • Provides insights into the behavior of matter under strong interactions and confinement.