2013/11/17 by Peter Orland, Orland, Peter
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.other #hep-lat #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1311.4192
7 pages, 3 figures, Based on talk given at the 31st International Symposium on Lattice Field Theory (Lattice 2013) 29 July - 3 August, 2013, Mainz, Germany
arxiv created 2013/11/17 · openalex publication_date 2013/11/17 · arxiv updated 2013/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I point out two of the subtleties referred to in the title. The first is that gauge-invariant magnetic systems may realized under general circumstances, as suggested by a simple theorem. The second subtlety is that care is needed to identify the field theory simulated by a cold-atomic lattice gauge system. Though the simplest such model confines in 2+1 dimensions, it has non-relativistic ``gluon" excitations. Time-reversal invariance is spontaneously broken in this system. The confinement mechanism is related to an extra U(1) gauge invariance.There is a model, suggested long ago by D. Rohlich and me, which is known to have relativistic spin waves. One of the outstanding theoretical problems is a better determination of the energy-momentum relation of spin waves in different magnetic gauge systems.