Scattering of quasi-particle excitations in weakly coupled stochastic lattice spin systems

DOI10.1007/s00220-004-1136-1zbMath1072.82017OpenAlexW2000503748MaRDI QIDQ1771539

D. A. Yarotskij

Publication date: 18 April 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1136-1

zbMATH Keywords

scatteringspectral gap

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• One-particle subspaces in the stochastic \(XY\) model
• On the spectrum of the generator of an infinite system of interacting diffusions
• The one-particle energy spectrum of weakly coupled quantum rotators
• Quantum Field Theories with Composite Particles and Asymptotic Conditions
• The framework of quantum field theory
• Perturbations of ground states in weakly interacting quantum spin systems
• The complete spectral decomposition of a generator of Glauber dynamics for the one-dimensional Ising model
• ``Free evolution of multi-particle excitations in the Glauber dynamics at high temperature.
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