Integrable matrix models in discrete space-time

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

Povzetek

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.

Ključne besede

dinamični sistemi;teoretična fizika;dynamical systems;theoretical physics;

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	53
COBISS:	42806787
ISSN:	2542-4653
Št. ogledov:	357
Št. prenosov:	196
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	dinamični sistemi;teoretična fizika;
Strani:	56 str.
Letnik:	ǂVol. ǂ9
Zvezek:	ǂart. no. ǂ038
Čas izdaje:	Sep. 2020
DOI:	10.21468/SciPostPhys.9.3.038
ID:	12267647