Schwinger model on an interval: Analytic results and DMRG

DOI DOI Web Site Web Site 研究データあり 被引用文献2件 参考文献56件 オープンアクセス

書誌事項

公開日
2023-03-17
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1103/physrevd.107.054506
  • 10.48550/arxiv.2210.00297
公開者
American Physical Society (APS)

この論文をさがす

説明

Quantum electrodynamics in $1+1$ dimensions (Schwinger model) on an interval admits lattice discretization with a finite-dimensional Hilbert space, and is often used as a testbed for quantum and tensor network simulations. In this work we clarify the precise mapping between the boundary conditions in the continuum and lattice theories. In particular we show that the conventional Gauss law constraint commonly used in simulations induces a strong boundary effect on the charge density, reflecting the appearance of fractionalized charges. Further, we obtain by bosonization a number of exact analytic results for local observables in the massless Schwinger model. We compare these analytic results with the simulation results obtained by the density matrix renormalization group (DMRG) method and find excellent agreements.

31 pages, 8 figures; v2 major revision, published version essentially

収録刊行物

  • Physical Review D

    Physical Review D 107 (5), 2023-03-17

    American Physical Society (APS)

被引用文献 (2)*注記

もっと見る

参考文献 (56)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ