File(s) not publicly available
Scalar multiplets and asymptotic freedom
journal contribution
posted on 2023-05-18, 05:26 authored by Robert DelbourgoRobert Delbourgo, Salam, A, Strathdee, JIn a gauge theory of scalar mesons interacting with gauge vector particles, we show that scalar-meson four-point Green’s functions are free of infinities, provided that i) the scalar mesons do not couple to any fermions in the model and ii) there is no directλϕ 4-term in the Lagrangian. The proof relies on a «gauge approximation» technique which systematically exploits the information provided by Ward-Takahashi identities. For non-Abelian gauge theories, the significance of this result is that a large class of scalar multiplets which can induce spontaneous symmetry breaking do not affect the issue of asymptotic freedom. In order to exploit the information of Ward-Takahashi identities we use the «axial gauge», in which there are no fictitious scalar particles and the identities assume their naive form, withZ 1 =Z 2 for all matter and gauge fields.
History
Publication title
Nuovo Cimento AVolume
23Pagination
237-256ISSN
0369-3546Department/School
School of Natural SciencesPlace of publication
ItalyRepository Status
- Restricted