2009/12/31 by Joseph A. Minahan, J. A. Minahan, Olof Ohlsson Sax +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chern–Simons theory #Combinatorics #Computation #Coupling constant #Dispersion relation #Feynman diagram #Gauge theory #Logarithm #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Symmetry (geometry) #TRACE (psycholinguistics) #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2011.01.016
published as Nucl.Phys.B846:542-606,2011 · LaTeX, feynmp, 70 pages; v2: signs of three diagrams due to inconsistent Feynman rules corrected, modifying the final result, typos corrected, formulations improved
arxiv created 2010/10/03 · openalex publication_date 2011/01/20 · arxiv updated 2011/02/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In arXiv:0908.2463 we computed the four-loop correction to a function depending on the 't Hooft coupling(s) that appears in the magnon dispersion relation of the spin chains derived from single trace operators in N=6 superconformal Chern-Simons theories. In this paper we give detailed descriptions of this calculation and the computation of the four-loop wrapping corrections for a length four operator in the 20 of SU(4), the R-symmetry group for these theories. Here, we give all relevant Feynman diagrams and loop integrals explicitly, and also demonstrate the cancellation of double poles in the logarithm of the renormalization constant.