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Renormalization of rational Lagrangians


Delbourgo, R and Koller, K and Salam, A, Renormalization of rational Lagrangians, Annals of Physics, 66, (1) pp. 1-19. ISSN 0003-4916 (1971) [Refereed Article]

DOI: doi:10.1016/0003-4916(71)90182-5


We show that rational Lagrangians of the type Gφν0(1 + λφ)1 can be renormalized by introducing a finite class of infinite counter terms providing that the Dyson index ν0 − ν1 ≤ 3. The form of the counter terms is explicitly exhibited. The theories become unrenormalizable when ν0 − ν1 > 3; we discuss, in particular, the case ν0 − ν1 = 4, which resembles a gφ4 theory for φ → ∞, and is nonrenormalizable, contrary to what one may have naively expected.

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:96955
Year Published:1971
Web of Science® Times Cited:4
Deposited By:Mathematics and Physics
Deposited On:2014-11-26
Last Modified:2014-11-26

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