Integrable matrix models in discrete space-time

Krajnik, Žiga (author), Ilievski, Enej (author), Prosen, Tomaž (author)

We introduce a class of integrable dynamical systems of interacting classical matrixvalued fields propagating on a discrete space-time lattice, realized as many-body circuits built from elementary symplectic two-body maps. The models provide an efficient integrable Trotterization of non- relativistic σ-models with complex Grassmannian manifolds as target spaces, including, as special cases, the higher- rank analogues of the Landau–Lifshitz field theory on complex projective spaces. As an application, we study transport of Noether charges in canonical local equilibrium states. We find a clear signature of superdiffusive behavior in the Kardar–Parisi–Zhang universality class, irrespectively of the chosen underlying global unitary symmetry group and the quotient structure of the compact phase space, providing a strong indication of superuniversal physics.

• Language: English
• Keywords: dynamical systems, theoretical physics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: 56 str.
• Numbering: Vol. 9, art. no. 038
• PID: 20.500.12556/RUL-122927
• UDC: 53
• ISSN on article: 2542-4653
• DOI: 10.21468/SciPostPhys.9.3.038
• COBISS.SI-ID: 42806787
• Publication date in RUL: 16.12.2020

Record is a part of a journal

• Title: SciPost physics
• Publisher: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 16.12.2020

Secondary language

• Language: Slovenian
• Keywords: dinamični sistemi, teoretična fizika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0402
• Name: Matematična fizika