The temperature dependence of the chiral condensate in the Schwinger model with Matrix Product States

Abstract

We present our recent results for the tensor network (TN) approach to lattice gauge theories. TN methods provide an efficient approximation for quantum many-body states. We employ TN for one dimensional systems, Matrix Product States, to investigate the 1-flavour Schwinger model. In this study, we compute the chiral condensate at finite temperature. From the continuum extrapolation, we obtain the chiral condensate in the high temperature region consistent with the analytical calculation by Sachs and Wipf.

arXiv comment7 pages, 5 figures, talk presented at the 32nd International Symposium on Lattice Field Theory - Lattice 2014, June 23-28, 2014, Columbia University New York, NY; PoS(LATTICE2014)302

References in corpus (1)

• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions

Cited by in corpus (5)

• Non-Abelian string breaking phenomena with Matrix Product States
• Chiral condensate in the Schwinger model with Matrix Product Operators
• Building Projected Entangled Pair States with a Local Gauge Symmetry
• Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
• Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks