Reflection positivity and infrared bounds for quantum spin systems

2022/04/27 by Björnberg, Jakob E., Ueltschi, Daniel · 1 citation
#82B10 #82B20 #82B26 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2204.12896

Abstract

The method of reflection positivity and infrared bounds allows to prove the occurrence of phase transitions in systems with continuous symmetries. We review the method in the context of quantum spin systems.

Cited by

• Exponential decay in O(n)-invariant quantum spin systems

Related

• Reflection positivity and quantum Griffiths' inequalities
• Reflection positivity and a refined index for 2d invertible phases
• Quantum Spin Systems
• Reflection positivity in Euclidean formulations of relativistic quantum mechanics of particles
• Quantum Spin Systems