Four-loop collinear anomalous dimension in N=4 Yang-Mills theory
Journal Article
·
· Physical Review. D, Particles Fields
- Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9 (Canada)
- Brown University, Providence, Rhode Island 02912 (United States)
We report a calculation in N=4 Yang-Mills of the four-loop term g{sup (4)} in the collinear anomalous dimension g({lambda}) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions to extract this quantity from the 1/{epsilon} singularity in the four-gluon iterative relation at four loops, we find g{sup (4)}=-1240.9 with an estimated numerical uncertainty of 0.02%. We also analyze the implication of our result for the strong coupling behavior of g({lambda}), finding support for the string theory prediction computed recently by Alday and Maldacena using AdS/CFT.
- OSTI ID:
- 21027914
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 10; Other Information: DOI: 10.1103/PhysRevD.76.106004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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