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Chord Diagrams and BPHZ Subtractions


Tsohantjis, I and Kalloniatis, AC and Jarvis, PD and Thompson, G, Chord Diagrams and BPHZ Subtractions, Modern Physics Letters A, 11, (13) pp. 1095-1105. ISSN 0217-7323 (1996) [Refereed Article]

DOI: doi:10.1142/S0217732396001120


The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three-point vertex in φ3 theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a proposed fundamental relationship between knot theory and renormalization in perturbative quantum field theory.

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:Tsohantjis, I (Dr Ioannis Tsohantjis)
UTAS Author:Kalloniatis, AC ( Kalloniatis)
UTAS Author:Jarvis, PD (Dr Peter Jarvis)
UTAS Author:Thompson, G (Mr Thompson)
ID Code:101
Year Published:1996
Web of Science® Times Cited:1
Deposited By:Physics
Deposited On:1996-08-01
Last Modified:2011-08-16

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