Dynamical generation of the gauged SU(2) linear sigma model
| dc.creator | Delbourgo, R | |
| dc.creator | Scadron, M D | |
| dc.date | 1999-10-05 | |
| dc.date.accessioned | 2026-07-07T11:14:41Z | |
| dc.date.available | 2026-07-07T11:14:41Z | |
| dc.description | The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson-quark Lagrangian, with the quark (q) and meson ($σ,π$) fields all treated as elementary, having neither bare masses nor expectation values. In the chiral limit, the masses are predicted to be $m_q = f_πg, m_π= 0, m_σ= 2m_q$, and we also find that the quark-meson coupling $g = 2π/sqrt{N_c}$, the three-meson coupling is $g' = m_σ^2/2f_π= 2gm_q$ and the four-meson coupling is $λ= 2g^2 = g'/f_π$, where $f_π\simeq 90$ MeV is the pion decay constant and $N_c = 3$ is the color number. By gauging this model one can generate the couplings to the vector mesons $ρ$ and $A_1$, including the quark-vector coupling constant $g_ρ= 2π, g_{ρππ}, g_{A_1ρπ}$ and the masses $M_ρ\sim 700$ MeV, $m_{A_1}\simeq \sqrt{3}m_ρ$; of course the vector and axial vector currents remain conserved throughout. | |
| dc.description | 18 pages, including 9 figures (eps files). Paper was originally published in 1995, but inadvertently not archived | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9910242 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9910242 | |
| dc.identifier | Mod.Phys.Lett.A10:251-266,1995 | |
| dc.identifier | doi:10.1142/S0217732395000284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192157 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Dynamical generation of the gauged SU(2) linear sigma model | |
| dc.type | text |