Abstract
We present some up-to-date results on QCD phase transition in a chromomagnetic constant background field and in an abelian monopole background field. Our r esults indicate that the QCD critical temperature is not modified by a monopole backgroun d field, whilst it is modified by a constant chromomagnetic field. We improve our earlier estim ate of the QCD critical parameters in a chromomagnetic background field by performing lattice s imulations with weaker fields.
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