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.
@article{arxiv.1511.00794,
title = {Thermal evolution of the one-flavour Schwinger model using Matrix Product States},
author = {H. Saito and M. C. Bañuls and K. Cichy and J. I. Cirac and K. Jansen},
journal= {arXiv preprint arXiv:1511.00794},
year = {2015}
}
Comments
7 pages, 5 figures, proceeding of the 33rd International Symposium on Lattice Field Theory, 14-18 July 2015, Kobe in Japan; typos modified