|
Search: id:A051862
|
|
|
| A051862 |
|
Perturbation expansion in quantum field theory: scalar case in 6 spacetime dimensions. |
|
+0
2
|
|
| 1, 11, 376, 20241, 1427156, 121639250, 12007003824, 1337583507153, 165328009728652, 22404009743110566, 3299256277254713760, 524366465815117346250, 89448728780073829991976
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
D. J. Broadhurst and D. Kreimer, Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Pad-Borel resummation. Phys. Lett. B 475 (2000), 63-70.
|
|
LINKS
|
D. J. Broadhurst and D. Kreimer, Combinatoric explosion of renormalization ...
|
|
FORMULA
|
The generating procedure is described by Broadhurst and Kreimer.
|
|
EXAMPLE
|
a(31) =7632236320181399967333968684399053053157812979126909028545984868160 was computed using Kreimer's Hopf algebra of rooted trees. It subsumes 2.6*10^21 terms in quantum field theory.
|
|
CROSSREFS
|
Cf. A000699.
Sequence in context: A000464 A024149 A018893 this_sequence A006698 A048431 A052290
Adjacent sequences: A051859 A051860 A051861 this_sequence A051863 A051864 A051865
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
David Broadhurst (D.Broadhurst(AT)open.ac.uk), Dec 14 1999
|
|
|
Search completed in 0.004 seconds
|
