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Dimensional renormalization in phi(3) theory: Ladders and rainbows


Delbourgo, R and Elliott, D and McAnally, D, Dimensional renormalization in phi(3) theory: Ladders and rainbows, Physical Review D, 55, (8) pp. 5230-5233. ISSN 0556-2821 (1997) [Refereed Article]

DOI: doi:10.1103/PhysRevD.55.5230


The sum of all the ladder and rainbow diagrams in φ3 theory near six dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hyper-geometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the sixdimensional limit.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences 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)
UTAS Author:Elliott, D (Professor David Elliott)
ID Code:10160
Year Published:1997
Web of Science® Times Cited:19
Deposited By:Physics
Deposited On:1997-08-01
Last Modified:2011-11-24

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