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4 papers · 2 filters
Dimensional Renormalization in phi^3 theory: ladders and rainbows
R Delbourgo, D Elliott, D McAnally
The sum of all ladder and rainbow diagrams in theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particul…
Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
D. J. Broadhurst, D. Kreimer
It is found that the number, , of irreducible multiple zeta values (MZVs) of weight , is generated by . For , enumerates…
Dimensional renormalization: ladders to rainbows
R Delbourgo, A Kalloniatis, G Thompson
Renormalization factors are most easily extracted by going to the massless limit of the quantum field theory and retaining only a single momentum scale. We derive factors and renor…
Chord diagrams and BPHZ subtractions
Ioannis Tsohantjis, Alex C Kalloniatis, Peter D Jarvis
The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three point vertex in theory is transcribed into certain connectivity relations for mark…