Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Nuclear Physics B Année : 2016

Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics

Résumé

We extend to a possibly infinite chain the conformally invariant mechanical system that was introduced earlier as a toy model for understanding the topological Yang–Mills theory. It gives a topological quantum model that has interesting and computable zero modes and topological invariants. It confirms the recent conjecture by several authors that supersymmetric quantum mechanics may provide useful tools for understanding robotic mechanical systems (Vitelli et al.) and condensed matter properties (Kane et al.), where trajectories are allowed or not by the conservation of topological indices. The absences of ground state and mass gaps are special features of such systems.
Fichier principal
Vignette du fichier
S055032131630141.pdf (716.18 Ko) Télécharger le fichier
Origine : Publication financée par une institution
Loading...

Dates et versions

hal-01331266 , version 1 (13-06-2016)

Licence

Paternité

Identifiants

Citer

L. Baulieu. Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics. Nuclear Physics B, 2016, ⟨10.1016/j.nuclphysb.2016.05.030⟩. ⟨hal-01331266⟩
110 Consultations
100 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More