TY  - JOUR
A1  - Bañuls, Mari Carmen
A1  - Cichy, Krzysztof
A1  - Cirac, Juan Ignacio
A1  - Jansen, Karl
A1  - Kühn, Stefan
A1  - Saito, Hana
T1  - Towards overcoming the Monte Carlo sign problem with tensor networks
T2  - The European physical journal. Web of Conferences
N2  - The study of lattice gauge theories with Monte Carlo simulations is hindered by the infamous sign problem that appears under certain circumstances, in particular at non-zero chemical potential. So far, there is no universal method to overcome this problem. However, recent years brought a new class of non-perturbative Hamiltonian techniques named tensor networks, where the sign problem is absent. In previous work, we have demonstrated that this approach, in particular matrix product states in 1+1 dimensions, can be used to perform precise calculations in a lattice gauge theory, the massless and massive Schwinger model. We have computed the mass spectrum of this theory, its thermal properties and real-time dynamics. In this work, we review these results and we extend our calculations to the case of two flavours and non-zero chemical potential. We are able to reliably reproduce known analytical results for this model, thus demonstrating that tensor networks can tackle the sign problem of a lattice gauge theory at finite density
Y1  - 2017
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/44596
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-445961
SN  - 2100-014X
N1  - © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
VL  - 137
IS  - Art. 04001
SP  - 1
EP  - 10
PB  - EDP Sciences
CY  - Les Ulis
ER  -