English

Nambu and Compositeness

High Energy Physics - Phenomenology 2024-02-27 v3 High Energy Physics - Experiment High Energy Physics - Theory

Abstract

The Nambu--Jona-Lasinio model is the simplest field theory of a composite scalar boson, consisting of a pair of chiral fermions. A bound state emerges from an assumed point-like 4-fermion interaction and is described by local effective field, Φ(x)\Phi(x). We review this in the context of the renormalization group and show some its phenomenological successes, such as the QCD chiral dynamics and the prediction of stable heavy-light resonances that reveal the single light quark chiral dynamics. We also review some NJL--inspired composite Higgs models. We then describe a novel UV completion of the NJL model, to an extended interaction, where the solution is described by a bilocal effective, Yukawa field, Φ(x,y)\Phi(x,y). I conclude with a personal recollection of Yoichiro Nambu.

Keywords

Cite

@article{arxiv.2401.08716,
  title  = {Nambu and Compositeness},
  author = {Christopher T. Hill},
  journal= {arXiv preprint arXiv:2401.08716},
  year   = {2024}
}

Comments

Invited Talk, Miami 2023, Dec 13-19, Fort Lauderdale, Florida. This version has some minor tweaks and pedagogical clarification. arXiv admin note: text overlap with arXiv:1911.10223

R2 v1 2026-06-28T14:18:34.169Z