Spin models in complex magnetic fields : A hard sign problem

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Rindlisbacher , T , De Forcrand , P , Gamiz Sanchez E. , P R C (ed.) & Fritzsch P. , D M M (ed.) 2018 , Spin models in complex magnetic fields : A hard sign problem . in M Della Morte , P Fritzsch , E Gámiz Sánchez & C Pena Ruan (eds) , 35th International Symposium on Lattice Field Theory (Lattice 2017) . , 07026 , EPJ Web of Conferences , vol. 175 , EDP sciences , Les Ulis , International Symposium on Lattice Field Theory , Granada , Spain , 18/06/2017 . https://doi.org/10.1051/epjconf/201817507026

Title: Spin models in complex magnetic fields : A hard sign problem
Author: Rindlisbacher, T.; De Forcrand, P.
Editor: Gamiz Sanchez E., Pena Ruano C.; Fritzsch P., Della Morte M.; Della Morte, M.; Fritzsch, P.; Gámiz Sánchez, E.; Pena Ruan, C.
Contributor: University of Helsinki, Particle Physics and Astrophysics
Publisher: EDP sciences
Date: 2018
Language: eng
Number of pages: 8
Belongs to series: 35th International Symposium on Lattice Field Theory (Lattice 2017)
Belongs to series: EPJ Web of Conferences
URI: http://hdl.handle.net/10138/299851
Abstract: Coupling spin models to complex external fields can give rise to interesting phenomena like zeroes of the partition function (Lee-Yang zeroes, edge singularities) or oscillating propagators. Unfortunately, it usually also leads to a severe sign problem that can be overcome only in special cases; if the partition function has zeroes, the sign problem is even representation-independent at these points. In this study, we couple the N-state Potts model in different ways to a complex external magnetic field and discuss the above mentioned phenomena and their relations based on analytic calculations (1D) and results obtained using a modified cluster algorithm (general D) that in many cases either cures or at least drastically reduces the sign-problem induced by the complex external field. © The Authors, published by EDP Sciences, 2018.
Subject: 114 Physical sciences
115 Astronomy, Space science
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