2007/06/30 by Davide Fioravanti, Marco Rossi 路 2 citations
Mathematics 路 Physics and Astronomy 路 #Algebraic structures and combinatorial models #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-th
paper 路 pdf 路 doi:10.1088/1126-6708/2007/08/089
published as JHEP0708:089,2007 路 Latex file, 20 pages, some typos corrected, some technical details expanded and explained
arxiv created 2007/07/13 路 openalex publication_date 2007/08/30 路 arxiv updated 2009/12/01 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/29
We consider the highest anomalous dimension operator in the SU(2) sector of planar \cal N=4 SYM at all-loop, though neglecting wrapping contributions. In any case, the latter enter the loop expansion only after a precise length-depending order. In the thermodynamic limit we write both a linear integral equation for the Bethe root density and a linear system obeyed by the commuting charges. Consequently, we determine the leading strong coupling contribution to the density and from this an approximation to the leading and sub-leading terms of any charge Qr: it scales as 位1/4-r/2, which generalises the Gubser-Klebanov-Polyakov energy law. In the end, we briefly extend these considerations to finite lengths and 'excited' operators by using the idea of a non-linear integral equation.