A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories

DOI DOI PDF Web Site 被引用文献8件 参考文献47件 オープンアクセス

書誌事項

公開日
2023-11-27
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0
  • https://creativecommons.org/licenses/by/4.0
DOI
  • 10.1007/jhep11(2023)187
  • 10.48550/arxiv.2309.01422
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassmann tensor network formalism. The basic idea is to separate the site tensor into multiple layers associated with each flavor and to introduce the gauge field in each layer as replicas, which are all identified later. This formulation, after introducing an appropriate compression scheme in the network, enables us to reduce the size of the initial tensor with high efficiency compared with a naive implementation. The usefulness of this formulation is demonstrated by investigating the chiral phase transition and the Silver Blaze phenomenon in 2D Abelian gauge theories with <jats:italic>N</jats:italic><jats:sub>f</jats:sub> flavors of Wilson fermions up to <jats:italic>N</jats:italic><jats:sub>f</jats:sub> = 4.</jats:p>

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