Two-Loop Diagrammatics in a Self-Dual Background
Dunne, Gerald V.
arXiv, 0311167 / Harvested from arXiv
Text on arXiv
Diagrammatic rules are developed for simplifying two-loop QED diagrams with propagators in a constant self-dual background field. This diagrammatic analysis, using dimensional regularization, is used to explain how the fully renormalized two-loop Euler-Heisenberg effective Lagrangian for QED in a self-dual background field is naturally expressed in terms of one-loop diagrams. The connection between the two-loop and one-loop vacuum diagrams in a background field parallels a corresponding connection for free vacuum diagrams, without a background field, which can be derived by simple algebraic manipulations. It also mirrors similar behavior recently found for two-loop amplitudes in N=4 SUSY Yang-Mills theory.
Publié le : 2003-11-18
Classification:  High Energy Physics - Theory,  High Energy Physics - Phenomenology,  Mathematical Physics 
@article{0311167,
     author = {Dunne, Gerald V.},
     title = {Two-Loop Diagrammatics in a Self-Dual Background},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311167}
}

Dunne, Gerald V. Two-Loop Diagrammatics in a Self-Dual Background. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311167/