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  Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization

Ferro, L., Lukowski, T., Meneghelli, C., Plefka, J., & Staudacher, M. (2013). Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization. Physical Review Letters, 110: 121602. doi:10.1103/PhysRevLett.110.121602.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-74B0-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-3DB7-A
Genre: Journal Article

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1212.0850 (Preprint), 134KB
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 Creators:
Ferro, Livia, Author
Lukowski, Tomasz, Author
Meneghelli, Carlo1, Author              
Plefka, Jan, Author
Staudacher, Matthias, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: Planar N=4 super Yang-Mills appears to be integrable. While this allows to find this theory's exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loop R-matrix of the integrable N=4 spin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-leg R-matrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter might find its use as a novel symmetry-respecting regulator replacing dimensional regularization. Its physical meaning is a local deformation of particle helicity, a fact which might be useful for a much larger class of non-integrable four-dimensional field theories.

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 Dates: 2012-12-0420132013
 Publication Status: Published in print
 Pages: 4 pages, 5 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1212.0850
DOI: 10.1103/PhysRevLett.110.121602
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Title: Physical Review Letters
Source Genre: Journal
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Publ. Info: Woodbury, N.Y., etc. : American Physical Society.
Pages: - Volume / Issue: 110 Sequence Number: 121602 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925433406_1