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Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2679

Meneghelli,  Carlo
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1212.0850
(Preprint), 134KB

PRL110_121602.pdf
(Any fulltext), 193KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-74B0-C
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.