Ryuichiro Kitano, Mitsutoshi Nakamura, Naoto Yokoi
The light mesons such as pi, rho, omega, f0, and a0 are possible candidates
of magnetic degrees of freedom, if a magnetic dual picture of QCD exists. We
construct a linear sigma model to describe spontaneous breaking of the magnetic
gauge group, in which there is a stable vortex configuration of vector and
scalar mesons. We numerically examine whether such a string can be interpreted
as the confining string. By using meson masses and couplings as inputs, we
calculate the tension of the string as well as the strength of the Coulomb
force between static quarks. They are found to be consistent with those
inferred from the quarkonium spectrum and the Regge trajectories of hadrons. By
using the same Lagrangian, the critical temperature of the QCD phase transition
is estimated, and a non-trivial flavor dependence is predicted. We also discuss
a possible connection between the Seiberg duality and the magnetic model we
studied.
View original:
http://arxiv.org/abs/1202.3260
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