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arXiv · 1801.01647

Degenerate Fermions and Wilson Loop in $1+1$ Dimensions

Kiyoshi Shiraishi
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Abstract

We investigate the effect of finite fermion density on symmetry breaking by Wilson loops in $(1+1)$ dimensions. We find the breaking and restoration of symmetry at finite density in the models with $SU(2)$ and $SU(3)$ gauge symmetries, in the presence of the adjoint fermions. The transition can occur at a finite density of fermions, regardless of the periodic or antiperiodic boundary condition of the fermion field; this is in contrast to the finite-temperature ease examined by Ho and Hosotani (Nucl. Phys. B345 (1990) 445) where the boundary condition of fractional twist is essential to the occurrence of the phase transition.

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Kiyoshi Shiraishi. 2018-01-05. Degenerate Fermions and Wilson Loop in $1+1$ Dimensions. https://doi.org/10.1139/p90-056

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