2006/01/30 by A. Tirziu · 2 citations
Physics and Astronomy · #Bethe ansatz #Black Holes and Theoretical Physics #Gauge theory #Lambda #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #String (physics) #hep-th
paper · pdf · doi:10.1103/physrevd.73.106001
published as Phys.Rev.D73:106001,2006 · 22 pages, references added
arxiv created 2006/01/30 · openalex publication_date 2006/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In a previous paper (hep-th/0510080) the effective Landau-Lifshitz (LL) Lagrangians in the SU(2) sector coming from string theory and gauge theory have been found to three loops in the effective expansion parameter \stackrel\texttildelow\ensuremathλ=\ensuremathλ/J2. In this paper we continue this study and find the effective Landau-Lifshitz Lagrangians to four loops. We extend to four-loops \stackrel\texttildelow\ensuremathλ4 the computations of 1/J and 1/J2 corrections to BMN energies done in hep-th/0510080 to three-loops. We compare these corrections obtained from quantum ``gauge-theory'' LL action with the corrections obtained from the conjectured Bethe ansatz for the long range spin chain representing perturbative large N N=4 Super Yang-Mills theory in the SU(2) sector and find perfect matching to four loops \stackrel\texttildelow\ensuremathλ4. We compare also the 1/J and 1/J2 corrections obtained from quantum ``string-theory'' LL action with those obtained from the ``quantum string'' Bethe ansatz and again find perfect matching to four-loops.