Approaches to the sign problem in lattice field theory

Gattringer, Christof and Langfeld, Kurt ORCID: 0000-0002-4368-3580 (2016) Approaches to the sign problem in lattice field theory. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 31 (22). p. 1643007.

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Official URL: http://dx.doi.org/10.1142/S0217751X16430077

Abstract

Quantum field theories (QFTs) at finite densities of matter generically involve complex actions. Standard Monte-Carlo simulations based upon importance sampling, which have been producing quantitative first principle results in particle physics for almost fourty years, cannot be applied in this case. Various strategies to overcome this so-called Sign Problem or Complex Action Problem were proposed during the last thirty years. We here review the sign problem in lattice field theories, focussing on two more recent methods: Dualization to world-line type of representations and the density-of-states approach.

Item Type:	Article
Additional Information:	mini-review, 20 pages, 4 figures
Uncontrolled Keywords:	Lattice field theory, finite density, dual approach, density of states
Depositing User:	Symplectic Admin
Date Deposited:	07 Jul 2016 10:33
Last Modified:	19 Jan 2023 07:34
DOI:	10.1142/S0217751X16430077
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3002140