A Simple way to generate high order vacuum graphs

Kajantie K,, Laine M, Schroeder Y (2002)
Phys.Rev. D 65(4): 45008.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We describe an efficient practical procedure for enumerating and regrouping vacuum Feynman graphs of a given order in perturbation theory. The method is based on a combination of Schwinger-Dyson equations and the two-particle-irreducible (skeleton) expansion. The regrouping leads to skeletons containing only free propagators, together with ring diagrams containing all the self-energy insertions. As a consequence, relatively few diagrams need to be drawn and integrations carried out at any single stage of the computation and, in low dimensions, overlapping ultraviolet/infrared subdivergences can be cleanly isolated. As an illustration we enumerate the graphs contributing to the 4-loop free energy in QCD, explicitly in a continuum and more compactly in a lattice regularization.
Stichworte
n-point function; perturbation theory; 11.15.Bt; 11.10.Wx; 12.38.Bx; Dyson-Schwinger equation; fermion; Feynman graph; gauge field theory: SU(N); Phenomenology-HEP; phi**n model
Erscheinungsjahr
2002
Zeitschriftentitel
Phys.Rev. D
Band
65
Ausgabe
4
Art.-Nr.
45008
ISSN
0556-2821
eISSN
1089-4918
Page URI
https://pub.uni-bielefeld.de/record/1963777

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Kajantie K,, Laine M, Schroeder Y. A Simple way to generate high order vacuum graphs. Phys.Rev. D. 2002;65(4): 45008.
Kajantie, K. ,, Laine, M., & Schroeder, Y. (2002). A Simple way to generate high order vacuum graphs. Phys.Rev. D, 65(4), 45008. https://doi.org/10.1103/PhysRevD.65.045008
Kajantie, K.,, Laine, Mikko, and Schroeder, York. 2002. “A Simple way to generate high order vacuum graphs”. Phys.Rev. D 65 (4): 45008.
Kajantie, K. ,, Laine, M., and Schroeder, Y. (2002). A Simple way to generate high order vacuum graphs. Phys.Rev. D 65:45008.
Kajantie, K.,, Laine, M., & Schroeder, Y., 2002. A Simple way to generate high order vacuum graphs. Phys.Rev. D, 65(4): 45008.
K., Kajantie, M. Laine, and Y. Schroeder, “A Simple way to generate high order vacuum graphs”, Phys.Rev. D, vol. 65, 2002, : 45008.
Kajantie, K.,, Laine, M., Schroeder, Y.: A Simple way to generate high order vacuum graphs. Phys.Rev. D. 65, : 45008 (2002).
Kajantie, K.,, Laine, Mikko, and Schroeder, York. “A Simple way to generate high order vacuum graphs”. Phys.Rev. D 65.4 (2002): 45008.
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arXiv: hep-ph/0109100

Inspire: 562661

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