2007/12/20 by M. Shifman, Mikhail Shifman, A. Yung · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Astronomy #Combinatorics #Mathematical Analysis and Transform Methods #Mathematics #Physics #Quantum chaos and dynamical systems #Term (time) #advanced mathematical theories #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.77.066008
published as Phys.Rev.D77:066008,2008 · 7 pages, no figures
arxiv created 2007/12/20 · openalex publication_date 2008/03/12 · arxiv updated 2010/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the L"uscher term for recently suggested non-Abelian flux tubes (strings). The main feature of the non-Abelian strings is the presence of orientational zero modes associated with rotation of their color flux inside a non-Abelian subgroup. The L"uscher term is determined by the number of light degrees of freedom on the string world sheet. Unlike the standard \ensuremathπ/12 we get N\ensuremathπ/12 for non-Abelian strings in the U(N) gauge theories. Thus, the L"uscher coefficient acquires a dependence on the rank of the gauge group. In the models with non-Abelian strings discussed in the literature there are two distinct scales: the string tension \ensuremathξ (the string thickness \ensuremath∼\ensuremathξ^\ensuremath-1/2) and the dynamical scale of strong interactions \ensuremathΛ. At weak coupling \ensuremathξ\ensuremath≫\ensuremathΛ2. The L"uscher term for non-Abelian strings experiences a jump: at \ensuremathξ^\ensuremath-1/2\ensuremath≪L\ensuremath≪\ensuremathΛ^\ensuremath-1 it is N\ensuremathπ/12 while at L\ensuremath≫\ensuremathΛ^\ensuremath-1 the orientational moduli are frozen out and the L"uscher coefficient approaches its ``L"uscher'' value \ensuremathπ/12. We raise the question of possible extra (i.e. nontranslational) light moduli on the world sheet of QCD strings at large N.