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The quark-level linear σ model


Scadron, MD and Rupp, G and Delbourgo, R, The quark-level linear σ model, Fortschritte der Physik, 61, (11) pp. 994-1027. ISSN 0015-8208 (2013) [Refereed Article]

Copyright Statement

Copyright 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

DOI: doi:10.1002/prop.201300022


This review of the quark-level linear σ model (QLLσM) 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 𝑓π. 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. 𝑓Κ and ⟨π|Hweak|Κ⟩. 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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Classical physics
Research Field:Classical physics not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:87027
Year Published:2013
Web of Science® Times Cited:10
Deposited By:Mathematics and Physics
Deposited On:2013-11-06
Last Modified:2014-04-28

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