2025/07/20 by Langfeld, Kurt, Turner, Amanda
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2507.15095
The study of critical phenomena in one-dimensional field theories with long-range interactions has garnered significant attention following the implications of the Hohenberg-Mermin-Wagner theorem, which precludes phase transitions in most low-dimensional theories with local interactions. This research investigates a novel class of one-dimensional theories characterised by a distinctly defined infinite interaction range. We propose that such theories emerge naturally through a meso- scopic feedback mechanism. In this proof-of-concept study, we examine Ising-type models and a model with continuous O(3) symmetry, and demonstrate that the natural emergence of phase transitions, criticality, spontaneous symmetry breaking and previously unidentified universality classes is evident.