The quark-level linear σ model
| Autor: | Robert Delbourgo, Michael D. Scadron, George Rupp |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Physics
Quark Strange quark Current quark Particle physics Meson Sigma model 010308 nuclear & particles physics High Energy Physics::Lattice Nuclear Theory High Energy Physics::Phenomenology Electroweak interaction General Physics and Astronomy 01 natural sciences 0103 physical sciences Higgs boson CP violation High Energy Physics::Experiment 010306 general physics |
| Zdroj: | Fortschritte der Physik. 61:994-1027 |
| ISSN: | 0015-8208 |
| DOI: | 10.1002/prop.201300022 |
| Popis: | This review of the quark-level linear \sigma model is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2) x SU(2) chiral symmetry, with the symmetry weakly broken by current quark masses. In its simplest SU(2) incarnation, with two non-strange quark flavors and three colors, this nonperturbative theory, which can be selfconsistently bootstrapped in loop order, is shown to accurately reproduce a host of low-energy observables with only one parameter, namely the pion decay constant f_\pi. Extending the scheme to SU(3) by including the strange quark, equally good results are obtained for many strong, electromagnetic, and weak processes just with two extra constants, viz. f_K and $\langle\pi|H_{\mbox{\scriptsize weak}}|K\rangle$. Links are made with the vector-meson-dominance model, the BCS theory of superconductivity, and chiral-symmetry restoration at high temperature. Finally, these ideas are cautiously generalized to the electroweak sector, including the W, Z, and Higgs bosons, and also to CP violation. |
| Databáze: | OpenAIRE |
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