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Matrix model for deconfinement in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>gauge theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>dimensions
We use an effective matrix model to study deconfinement in a pure $SU({N}_{c})$ gauge theory, without quarks, in $d=2+1$ dimensions. Expanding about a constant background ${\mathcal{A}}_{0}$ field, we construct an effective potential for the eigenvalues of the thermal Wilson line for general ${N}_{c}$ and in the large-${N}_{c}$ limit. The numerical …