Chemical potential for SU(N)-infrared problem

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Abstract
The author investigated the grand canonical partition function for pure SU(N) Yang-Mills theory in the context of perturbation theory. The presence of a chemical potential is equivalent to having a constant imaginary term in the A0 field. Perturbation theory is found to be softened in the infrared region. The free energy of two loops is computed in the presence of a chemical potential and a logarithmic divergence in the charge fluctuation operator is noticed. This divergence can be understood as being due to plasmon effects being accounted for improperly. The author encounters collinear divergences in higher-order terms of the full propagators and possible cures have been discussed. Finally, the theory in (2+1) dimensions is discussed.