Quantum phase transition of (1+1)-dimensional O(3) nonlinear sigma model at finite density with tensor renormalization group

A bstract We study the quantum phase transition of the (1+1)-dimensional O(3) nonlinear sigma model at finite density using the tensor renormalization group method. This model suffers from the sign problem, which has prevented us from investigating the properties of the phase transition. We investig...

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Bibliographic Details
Published in:The journal of high energy physics 2024-11, Vol.2024 (11), p.144-10, Article 144
Main Authors: Luo, Xiao, Kuramashi, Yoshinobu
Format: Article
Language:English
Subjects:
Algorithms
Chemical potential
Classical and Quantum Gravitation
Density
Eigenvalues
Elementary Particles
Entropy
Field theory
Lattice QCD
Magnetic fields
Non-Perturbative Renormalization
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Sigma Models
String Theory
Tensors
Transition points
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Summary:A bstract We study the quantum phase transition of the (1+1)-dimensional O(3) nonlinear sigma model at finite density using the tensor renormalization group method. This model suffers from the sign problem, which has prevented us from investigating the properties of the phase transition. We investigate the properties of the phase transition by changing the chemical potential μ at a fixed coupling of β . We determine the transition point μ c and the critical exponent ν from the μ dependence of the number density in the thermodynamic limit. The dynamical critical exponent z is also extracted from the scaling behavior of the temporal correlation length as a function of μ .
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2024)144