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Dr. S.B. Rutkevich

Institute of Physics of Solid State and Semiconductor Physics, Minsk, Belarus
and Universität Duisburg-Essen

Weak Confinement in the Ising Field Theory

We investigate the two-dimensional ferromagnetic Ising field theory in a weak external magnetic field h. Besides its magnetic condense matter realizations, Ising field theory can be viewed also as a relativistic particle theory, giving a nice toy model of quark confinement. According to Wu and McCoy scenario, fermions (domain walls) being free at h=0, are coupled into bosonic kink-antikink bound states at arbitrary small h>0. We calculate perturbatively in <it>h</it> the masses Mn of such excitations for n >> 1, and their decay widths above the stability threshold.

Preliminary results were published in Phys. Rev. Letters 95 (2005) 25061.

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