Bilocal Field Theory for Composite Scalar Bosons

Journal Article · Thu Feb 08 00:00:00 EST 2024 · Entropy

DOI:https://doi.org/10.3390/e26020146· OSTI ID:2217195

Hill, Christopher T. ^[1]

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1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

We give a bilocal field theory description of a composite scalar with an extended binding potential that reduces to the Nambu–Jona-Lasinio (NJL) model in the pointlike limit. This provides a description of the internal dynamics of the bound state and features a static internal wave function, $$\phi(\vec{r})$$, in the center-of-mass frame that satisfies a Schrödinger–Klein–Gordon equation with eigenvalues m². We analyze the “coloron” model (single perturbative massive gluon exchange) which yields a UV completion of the NJL model. This has a BCS-like enhancement of its interaction, ∝N_c the number of colors, and is classically critical with g_critical remarkably close to the NJL quantum critical coupling. Negative eigenvalues for m² lead to spontaneous symmetry breaking, and the Yukawa coupling of the bound state to constituent fermions is emergent.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: AC02-07CH11359
• OSTI ID: 2217195
• Report Number(s): FERMILAB-PUB-23-622-T; arXiv:2310.14750; oai:inspirehep.net:2713632
• Journal Information: Entropy, Journal Name: Entropy Journal Issue: 2 Vol. 26; ISSN 1099-4300
• Publisher: MDPI
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
bound states
coloron
compositeness