2003/04/30 by Adi Armoni, A. Armoni, M. Shifman +1 · 45 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Casimir effect #Domain (mathematical analysis) #Domain wall (magnetism) #Field (mathematics) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Orientifold #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sine #String (physics) #String theory #Tension (geology) #Theoretical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/s0550-3213(03)00409-7
published in Nuclear Physics B 664(1-2), 233-246 (Elsevier BV) · 21 pages, Latex. 5 figures. v2: a factor of 2 was corrected in eq.(A.3). To appear in Nucl.Phys.B
openalex publication_date 2003/06/02 · arxiv created 2003/06/23 · arxiv updated 2010/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the k dependence of the k-string tension sigmak in SU(N) supersymmetric gluodynamics. As well known, at large N the k-string consists, to leading order, of k noninteracting fundamental strings, so that sigmak=k sigma1. We argue, both from field-theory and string-theory side, that subleading corrections to this formula run in powers of 1/N2 rather than 1/N, thus excluding the Casimir scaling. We suggest a heuristic model allowing one to relate the k-string tension in four-dimensional gluodynamics with the tension of the BPS domain walls (k-walls). In this model the domain walls are made of a net of strings connected to each other by baryon vertices. The relation emerging in this way leads to the sine formula sigma_ k ~ Lambda2 N sin pi k/N. We discuss possible corrections to the sine law, and present arguments that they are suppressed by 1/k factors. We explain why the sine law does not hold in two dimensions. Finally, we discuss the applicability of the sine formula for non-supersymmetric orientifold field theories.