Abelian tensor models on the lattice

2017/05/31 by Soumyadeep Chaudhuri, Victor I. Giraldo-Rivera, Anosh Joseph +2
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Chain (unit) #Gauge theory #Lattice (music) #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Quartic function #Singlet state #Tensor (intrinsic definition) #Tensor decomposition and applications #Theoretical physics #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevd.97.086007

published as Phys. Rev. D 97, 086007 (2018) · v3: 43 pages + appendices, 19 figures, minor changes, references updated, version matches with published version

openalex publication_date 2018/04/16 · arxiv created 2018/05/07 · arxiv updated 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a chain of Abelian Klebanov-Tarnopolsky fermionic tensor models coupled through quartic nearest-neighbor interactions. We characterize the gauge-singlet spectrum for small chains (L=2,3,4,5) and observe that the spectral statistics exhibits strong evidence in favor of quasi-many-body localization.

Citations

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