EPJ

2024 Impact factor 4.8
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 26, 457-460 (2003)
DOI: 10.1140/epjc/s2002-01062-9

Systematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts

Y. Koma1 and M. Koma (Takayama)2

1  Institute for Theoretical Physics, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan
2  Research Center for Nuclear Physics (RCNP), Osaka University, Mihogaoka 10-1, Ibaraki, Osaka 567-0047, Japan


(Received: 16 July 2002 / Revised version: 5 September 2002 / Published online: 31 October 2002 )

Abstract
The ratios between the string tensions $\sigma_D$ of color-electric flux tubes in higher and fundamental SU(3) representations, $d_{D} \equiv \sigma_{D}/\sigma_{\bf 3}$, are systematically studied in a Weyl symmetric formulation of the DGL theory. The ratio is found to depend on the Ginzburg-Landau (GL) parameter, $\kappa \equiv m_{\chi}/m_{B}$, the mass ratio between the monopoles ( $m_{\chi}$) and the masses of the dual gauge bosons ( mB). While the ratios dD follow a simple flux counting rule in the Bogomol'nyi limit, $\kappa=1.0$, systematic deviations appear with increasing $\kappa$ due to interactions between the fundamental flux inside a higher representation flux tube. We find that in a type-II dual superconducting vacuum near $\kappa = 3.0$ this leads to a consistent description of the ratios dD as observed in lattice QCD simulations.



© Società Italiana di Fisica, Springer-Verlag 2003

Conference announcements