Nambu and Compositeness

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, $\Phi (x)$. 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, $\Phi (x,y)$. I conclude with a personal recollection of Yoichiro Nambu.

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