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Scalar multiplets and asymptotic freedom


Delbourgo, R and Salam, A and Strathdee, J, Scalar multiplets and asymptotic freedom, Nuovo Cimento A, 23, (2) pp. 237-256. ISSN 0369-3546 (1974) [Refereed Article]

DOI: doi:10.1007/BF02739481


In 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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
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:96911
Year Published:1974
Web of Science® Times Cited:47
Deposited By:Mathematics and Physics
Deposited On:2014-11-25
Last Modified:2014-11-25

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