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Investigation of complex $\phi^{4}$ theory at finite density in two dimensions using TRG

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arxiv 1912.13092 v1 pith:6F3G46YT submitted 2019-12-30 hep-lat

Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Ryo Sakai , Shinji Takeda , Yusuke Yoshimura This is my paper · ORCID
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keywords chemicalmodelpotentialtensorblazecomplexfinitegroup
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abstract

We study the two-dimensional complex $\phi^{4}$ 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 $V=1024^2$ and the results are also ensured by another tensor network representation with a character expansion.

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Cited by 3 Pith papers

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

  1. Tensor Network Formulation of $\mathcal{PT}$-Symmetric Quantum Field Theory

    hep-th 2026-08 accept novelty 6.0 of 10

    A tensor network representation of PT-symmetric φ^4 lattices on complex contours yields exact parity-decomposed local tensors and a finite-volume identity between wedge-contour and continued Hermitian partition functi...

  2. Tensor renormalization group study of cold and dense QCD in the strong coupling limit

    hep-lat 2026-01 conditional novelty 6.0 of 10

    In strong-coupling lattice QCD at Nτ=8, the chiral and nuclear transition endpoints coincide at m_c≈2.06, and a first-order transition persists at m=2.07 on a 1024^4 zero-temperature lattice.

  3. Toward tensor renormalization group study of lattice QCD

    hep-lat 2025-01 conditional novelty 3.0 of 10

    Tensor renormalization group methods for multi-flavor and non-Abelian gauge theories are summarized with 2D Z2 and 3D SU(2) and SU(3) proof-of-principle results.

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