Investigation of Complex ϕ4 Theory at Finite Density in Two Dimensions Using TRG

DOI DOI PDF Web Site 被引用文献14件 参考文献10件 オープンアクセス

書誌事項

公開日
2020-02
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/jhep02(2020)161
  • 10.48550/arxiv.1912.13092
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We study the two-dimensional complex <jats:italic>ϕ</jats:italic><jats:sup>4</jats:sup> theory at finite chemical potential using the tensor renormalization group. This model exhibits the Silver Blaze phenomenon in which bulk observables are independent of the chemical potential below the critical point. Since it is expected to be a direct outcome of an imaginary part of the action, an approach free from the sign problem is needed. We study this model systematically changing the chemical potential in order to check the applicability of the tensor renormalization group to the model in which scalar fields are discretized by the Gaussian quadrature. The Silver Blaze phenomenon is successfully confirmed on the extremely large volume <jats:italic>V</jats:italic> = 1024<jats:sup>2</jats:sup> and the results are also ensured by another tensor network representation with a character expansion.</jats:p>

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