Abstract
The critical endpoint of the (3+1)-dimensional ℤ3 gauge-Higgs model at finite density is determined by the tensor renormalization group method. This work is an extension of the previous one on the ℤ2 model. The vital difference between them is that the ℤ3 model suffers from the sign problem, while the ℤ2 model does not. We show that the tensor renormalization group method allows us to locate the critical endpoint for the ℤ3 gauge-Higgs model at finite density, regardless of the sign problem.
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Acknowledgments
Numerical calculation for the present work was carried out with Oakbridge-CX in the Information Technology Center at The University of Tokyo and the computational resource was offered under the category of General Projects by Research Institute for Information Technology in Kyushu University. We also used the supercomputer Fugaku provided by RIKEN through the HPCI System Research Project (Project ID: hp210204, hp220203) and computational resources of Wisteria/BDEC-01 and Cygnus under the Multidisciplinary Cooperative Research Program of Center for Computational Sciences, University of Tsukuba. This work is supported in part by Grants-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) (No. 20H00148). S. A. is supported by the Endowed Project for Quantum Software Research and Education, the University of Tokyo ([54]), and by JSPS KAKENHI Grant Number JP23K13096.
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Akiyama, S., Kuramashi, Y. Critical endpoint of (3+1)-dimensional finite density ℤ3 gauge-Higgs model with tensor renormalization group. J. High Energ. Phys. 2023, 77 (2023). https://doi.org/10.1007/JHEP10(2023)077
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DOI: https://doi.org/10.1007/JHEP10(2023)077