Tensor renormalization group study of (1 + 1)-dimensional U(1) gauge-Higgs model at θ = π with Lüscher’s admissibility condition

A bstract 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 t...

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Bibliographic Details
Published in:The journal of high energy physics 2024-09, Vol.2024 (9), p.86-20, Article 86
Main Authors: Akiyama, Shinichiro, Kuramashi, Yoshinobu
Format: Article
Language:English
Subjects:
Algorithms and Theoretical Developments
Boundary conditions
Classical and Quantum Gravitation
Conjugation
Elementary Particles
Freezing
Ising model
Monte Carlo simulation
Numerical analysis
Other Lattice Field Theories
Phase Transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Solid phases
String Theory
Symmetry
Tensors
Variables
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Summary:A bstract 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 ℤ 2 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2024)086