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Bilocal Field Theory for Composite Scalar Bosons.

Christopher T Hill1

  • 1Particle Theory Department, Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, IL 60510, USA.

Entropy (Basel, Switzerland)
|February 23, 2024
PubMed
Summary

This study describes a composite scalar using bilocal field theory, revealing internal dynamics and spontaneous symmetry breaking. The coloron model offers a UV completion, with critical coupling near the Nambu-Jona-Lasinio model.

Keywords:
bound statescoloroncompositeness

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory

Background:

  • The Nambu-Jona-Lasinio (NJL) model describes composite scalar dynamics but lacks explicit internal structure.
  • Understanding the ultraviolet (UV) completion of such models is crucial for a complete theoretical description.

Purpose of the Study:

  • To develop a bilocal field theory description for composite scalars with extended binding potentials.
  • To analyze the
  • coloron
  • model as a UV completion for the NJL model.
  • To investigate spontaneous symmetry breaking and emergent Yukawa couplings.

Main Methods:

  • Utilizing a bilocal field theory framework to model composite scalar dynamics.
  • Solving the Schrödinger-Klein-Gordon equation for the static internal wave function.
  • Analyzing the coloron model with perturbative massive gluon exchange.

Main Results:

  • The model reduces to the NJL model in the pointlike limit, providing insights into internal dynamics.
  • Negative eigenvalues for m² indicate spontaneous symmetry breaking.
  • The coloron model exhibits BCS-like interaction enhancement and classical criticality near the NJL quantum critical coupling.

Conclusions:

  • The bilocal field theory successfully describes composite scalar internal dynamics and emergent phenomena.
  • The coloron model provides a viable UV completion for the NJL model, linking microscopic dynamics to macroscopic behavior.
  • Spontaneous symmetry breaking arises from negative mass-squared eigenvalues, with emergent Yukawa couplings to fermions.