Bilocal Field Theory for Composite Scalar Bosons.

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.