Pith. sign in

REVIEW 2 cited by

Simulating 2+1d $\mathbb{Z}_3$ lattice gauge theory with iPEPS

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2007.11630 v1 pith:FQZBUTXT submitted 2020-07-22 hep-lat

Daniel Robaina , Mari Carmen Bañuls , J. Ignacio Cirac This is my paper · ORCID
classification hep-lat
keywords ipepsgaugeallowslatticemathbbphasestatestrategy
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We simulate a zero-temperature pure $\mathbb{Z}_3$ Lattice Gauge Theory in 2+1 dimensions by using an iPEPS (Infinite Projected Entangled-Pair State) ansatz for the ground state. Our results are therefore directly valid in the thermodynamic limit. They clearly show two distinct phases separated by a phase transition. We introduce an update strategy that enables plaquette terms and Gauss-law constraints to be applied as sequences of two-body operators. This allows the use of the most up-to-date iPEPS algorithms. From the calculation of spatial Wilson loops we are able to prove the existence of a confined phase. We show that with relatively low computational cost it is possible to reproduce crucial features of gauge theories. We expect that the strategy allows the extension of iPEPS studies to more general LGTs.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\mathbb{Z}_N$ lattice gauge theory

    hep-th 2026-02 conditional novelty 7.0 of 10

    Tensor-network contraction of finite-temperature Z_N gauge theory yields central charges and scaling dimensions consistent with Svetitsky–Yaffe universality for N=2,3,5, including a U(1)-symmetric BKT phase for N=5, a...

  2. Tensor-network toolbox for probing dynamics of non-Abelian gauge theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...

Pith tools