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

Journal of High Energy Physics volume 2020, Article number: 161 (2020) Cite this article

Abstract

We study the two-dimensional complex ϕ4 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 = 10242 and the results are also ensured by another tensor network representation with a character expansion.

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Affiliations

  1. Physics Division, National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu, 30013, Taiwan

    Daisuke Kadoh

  2. Research and Educational Center for Natural Sciences, Keio University, Yokohama, 223-8521, Japan

    Daisuke Kadoh

  3. Center for Computational Sciences, University of Tsukuba, Tsukuba, 305-8577, Japan

    Yoshinobu Kuramashi & Yusuke Yoshimura

  4. RIKEN Center for Computational Science, Kobe, 650-0047, Japan

    Yoshifumi Nakamura

  5. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA, 52242, U.S.A.

    Ryo Sakai

  6. Institute for Theoretical Physics, Kanazawa University, Kanazawa, 920-1192, Japan

    Shinji Takeda

Authors
  1. Daisuke Kadoh
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  2. Yoshinobu Kuramashi
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  3. Yoshifumi Nakamura
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  4. Ryo Sakai
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  5. Shinji Takeda
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  6. Yusuke Yoshimura
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Corresponding author

Correspondence to Ryo Sakai.

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ArXiv ePrint: 1912.13092

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Kadoh, D., Kuramashi, Y., Nakamura, Y. et al. Investigation of Complex ϕ4 Theory at Finite Density in Two Dimensions Using TRG. J. High Energ. Phys. 2020, 161 (2020). https://doi.org/10.1007/JHEP02(2020)161

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Keywords

  • Field Theories in Lower Dimensions
  • Lattice Quantum Field Theory