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Starting from Wilson's action, we calculate strong coupling series for thePolyakov loop susceptibility in lattice gauge theories for various small N_\tauin the thermodynamic limit. Analysing the series with Pad\'e approximants, weestimate critical couplings and exponents for the deconfinement phasetransition. For SU(2) pure gauge theory our results agree with those fromMonte-Carlo simulations within errors, which for the coarser N_\tau=1,2lattices are at the percent level. For QCD we include dynamical fermions via ahopping parameter expansion. On a N_\tau=1 lattice with N_f=1,2,3, we locatethe second order critical point where the deconfinement transition turns into acrossover. We furthermore determine the behaviour of the critical parameterswith finite chemical potential and find the first order region to shrink withgrowing \mu. Our series moreover correctly reflects the known Z(N) transitionat imaginary chemical potential.

The deconfinement transition of finite density QCD with heavy quarks from strong coupling series