  The Schwinger model, or 1+1 dimensional QED, offers an interesting object of
study, both at zero and non-zero temperature, because of its similarities to
QCD. In this proceeding, we present the a full calculation of the temperature
dependent chiral condensate of this model in the continuum limit using Matrix
Product States (MPS). MPS methods, in general tensor networks, constitute a
very promising technique for the non-perturbative study of Hamiltonian quantum
systems. In the last few years, they have shown their suitability as ansatzes
for ground states and low-lying excita- tions of lattice gauge theories. We
show the feasibility of the approach also for finite temperature, both in the
massless and in the massive case.
