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arXiv · 1511.00794

Thermal evolution of the one-flavour Schwinger model using Matrix Product States

H. Saito·M. C. Bañuls·K. Cichy·J. I. Cirac·K. Jansen
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Abstract

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.

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H. Saito, M. C. Bañuls, K. Cichy, J. I. Cirac, K. Jansen. 2015-11-04. Thermal evolution of the one-flavour Schwinger model using Matrix Product States. https://arxiv.org/abs/1511.00794

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