Abstract
We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a θ term, where the U(1) gauge action is constructed with Lüscher’s admissibility condition. Using the tensor renormalization group, both the complex action problem and topological freezing problem in the standard Monte Carlo simulation are avoided. We find the first-order phase transition with sufficiently large Higgs mass at θ = π, where the ℤ2 charge conjugation symmetry is spontaneously broken. On the other hand, the symmetry is restored with a sufficiently small mass. We determine the critical endpoint as a function of the Higgs mass parameter and show the critical behavior is in the two-dimensional Ising universality class.
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Acknowledgments
Numerical calculation for the present work was carried out with SQUID at the Cybermedia Center, Osaka University (Project ID: hp240012). We also used the supercomputer Fugaku provided by RIKEN through the HPCI System Research Project (Project ID: hp230247) and computational resources of Wisteria/BDEC-01 and Cygnus and Pegasus under the Multidisciplinary Cooperative Research Program of Center for Computational Sciences, University of Tsukuba. This work is supported by Grants-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Nos. 24H00214, 24H00940). SA acknowledges the support from the Endowed Project for Quantum Software Research and Education, the University of Tokyo [54], JSPS KAKENHI Grant Number JP23K13096, and the Center of Innovations for Sustainable Quantum AI (JST Grant Number JPMJPF2221).
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Akiyama, S., Kuramashi, Y. Tensor renormalization group study of (1 + 1)-dimensional U(1) gauge-Higgs model at θ = π with Lüscher’s admissibility condition. J. High Energ. Phys. 2024, 86 (2024). https://doi.org/10.1007/JHEP09(2024)086
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DOI: https://doi.org/10.1007/JHEP09(2024)086