A Mermin-Wagner theorem on Lorentzian triangulations with quantum spins

DOI10.1214/13-BJPS222zbMath1303.82011arXiv1211.5446MaRDI QIDQ462153

Anatoly Yambartsev, M. Ya. Kel'bert, Yu. M. Sukhov

Publication date: 15 October 2014

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5446

zbMATH Keywords

invarianceFeynman-Kac representationreduced density matrixcausal Lorentzian triangulationscompact Lie group actionFK-DLR equationsquantum bosonic system with continuous spinssize-biased critical Galton-Watson branching process

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Applications of Lie groups to the sciences; explicit representations (22E70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction

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