A new-old approach to composite scalars with chiral fermion constituents
We develop a dynamical, Lorentz invariant theory of composite scalars in configuration space consisting of chiral fermions, interacting by the perturbative exchange of a massive “gluon” of coupling g0 and mass M02 (the coloron model). The formalism is inspired by, but goes beyond, old ideas of Yukaw...
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Elsevier
2025-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003547 |
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| author | Christopher T. Hill |
| author_facet | Christopher T. Hill |
| author_sort | Christopher T. Hill |
| collection | DOAJ |
| description | We develop a dynamical, Lorentz invariant theory of composite scalars in configuration space consisting of chiral fermions, interacting by the perturbative exchange of a massive “gluon” of coupling g0 and mass M02 (the coloron model). The formalism is inspired by, but goes beyond, old ideas of Yukawa and the Nambu-Jona-Lasinio (NJL) model. It yields a non-pointlike internal wave-function of the bound state, ϕ(r), which satisfies a Schrödinger-Klein-Gordon (SKG) equation with eigenvalue μ2. For super-critical coupling, g02>g0c2, we have μ2<0 leading to spontaneous symmetry breaking. The binding of chiral fermions is semiclassical, not loop-level as in NJL. The mass scale is determined by the interaction as in NJL. We mainly focus on the short-distance, large M02 limit, yielding an NJL pointlike interaction, but the bound state internal wave-function, ϕ(r→), remains spatially extended and dilutes ϕ(0). This leads to power-law suppression of the induced Yukawa and quartic couplings and requires radically less fine-tuning of a hierarchy than does the NJL model. We include a discussion of loop corrections of the theory. A realistic top condensation model appears possible. |
| format | Article |
| id | doaj-art-b4666cf9db8d4b8383b11cf2f135a8ac |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-b4666cf9db8d4b8383b11cf2f135a8ac2025-01-07T04:17:04ZengElsevierNuclear Physics B0550-32132025-02-011011116788A new-old approach to composite scalars with chiral fermion constituentsChristopher T. Hill0Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, IL 60510, USA; Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, USA; Correspondence to: Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, IL 60510, USA.We develop a dynamical, Lorentz invariant theory of composite scalars in configuration space consisting of chiral fermions, interacting by the perturbative exchange of a massive “gluon” of coupling g0 and mass M02 (the coloron model). The formalism is inspired by, but goes beyond, old ideas of Yukawa and the Nambu-Jona-Lasinio (NJL) model. It yields a non-pointlike internal wave-function of the bound state, ϕ(r), which satisfies a Schrödinger-Klein-Gordon (SKG) equation with eigenvalue μ2. For super-critical coupling, g02>g0c2, we have μ2<0 leading to spontaneous symmetry breaking. The binding of chiral fermions is semiclassical, not loop-level as in NJL. The mass scale is determined by the interaction as in NJL. We mainly focus on the short-distance, large M02 limit, yielding an NJL pointlike interaction, but the bound state internal wave-function, ϕ(r→), remains spatially extended and dilutes ϕ(0). This leads to power-law suppression of the induced Yukawa and quartic couplings and requires radically less fine-tuning of a hierarchy than does the NJL model. We include a discussion of loop corrections of the theory. A realistic top condensation model appears possible.http://www.sciencedirect.com/science/article/pii/S0550321324003547 |
| spellingShingle | Christopher T. Hill A new-old approach to composite scalars with chiral fermion constituents Nuclear Physics B |
| title | A new-old approach to composite scalars with chiral fermion constituents |
| title_full | A new-old approach to composite scalars with chiral fermion constituents |
| title_fullStr | A new-old approach to composite scalars with chiral fermion constituents |
| title_full_unstemmed | A new-old approach to composite scalars with chiral fermion constituents |
| title_short | A new-old approach to composite scalars with chiral fermion constituents |
| title_sort | new old approach to composite scalars with chiral fermion constituents |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003547 |
| work_keys_str_mv | AT christopherthill anewoldapproachtocompositescalarswithchiralfermionconstituents AT christopherthill newoldapproachtocompositescalarswithchiralfermionconstituents |