References and Notes
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24. The higher-energy particles m3 to m8 are expected to produce much smaller features in the total scattering line shape, as they carry a much reduced weight and are overlapping or are very close to the lower-boundary onset of the continuum scattering (see Fig. 4E).
25. The small offset between the estimated 1D and 3D critical fields is attributed to the interchain couplings, which strengthen the magnetic order. We note that amore precise quantitative comparison with the E8 model would require extension of the theory to include how the mass ratio m2/m1 depends on the interchain wave vector q„¨, as the data in Fig. 4D were collected slightly away from the 3D Bragg peak positions; the already good agreement with the long-wavelength prediction expected to be valid near the 3D Bragg wave vector may suggest that the mass ratio dispersion is probably a small effect at the measured wave vectors.
26. T. Senthil et al., Science 303, 1490 (2004).
27. The 3D magnetic ordering wave vector has a finite component in the interchain direction due to antiferromagnetic couplings between chains.
28. We thank G. Mussardo, S. T. Carr, A. M. Tsvelik, M. Greiter, and in particular F. H. L. Essler and L. Balents for very useful discussions. Work at Oxford, Bristol, and ISIS was supported by the Engineering and Physical Sciences Research Council (UK) and at HZB by the European Commission under the 6th Framework Programme through the Key Action: Strengthening the European Research Area, Research Infrastructures, contract RII3-CT-2003-505925 (NMI3).
The Naschie Party claim that Coldea et al. confirms El Naschie's predictions requires that those predictions be exhibited by them, because the claim is not supported in Coldea et al. The fact that the paper ostensibly detects E8 through measurement of its golden mean fingerprint isn't adequate. Armwaving "El Naschie's been talking about this for nineteen years" isn't specific enough.
External links on the Coldea et al. paper:
- The abstract
- Coldea et al supporting documents
- Science Daily
- Physics World
Related El Naschie Watch posts:
- The Coldea, et al paper. Anyone have a PDF?
- Brad lays golden egg at Jatkesha's World
- Golden mean quantum mechanics proved
محمد النشائي All El Naschie All The Time محمد النشائى