Towards overcoming the Monte Carlo sign problem with tensor networks
- 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
Author: | Mari Carmen Bañuls, Krzysztof CichyORCiDGND, Juan Ignacio Cirac, Karl Jansen, Stefan Kühn, Hana Saito |
---|---|
URN: | urn:nbn:de:hebis:30:3-445961 |
DOI: | https://doi.org/10.1051/epjconf/201713704001 |
ISSN: | 2100-014X |
Parent Title (German): | The European physical journal. Web of Conferences |
Publisher: | EDP Sciences |
Place of publication: | Les Ulis |
Document Type: | Article |
Language: | English |
Year of Completion: | 2017 |
Date of first Publication: | 2017/03/22 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Contributing Corporation: | XIIth Quark Confinement & the Hadron Spectrum |
Release Date: | 2017/12/14 |
Volume: | 137 |
Issue: | Art. 04001 |
Page Number: | 10 |
First Page: | 1 |
Last Page: | 10 |
Note: | © 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/). |
HeBIS-PPN: | 432831045 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |