研究目的
Investigating the ground-state properties of Zn lattice gauge theories in 1 + 1 dimensions and their approximation to lattice quantum electrodynamics, with a focus on phase transitions and symmetry breaking.
研究成果
The study reveals that all Zn models exhibit a phase transition in the Ising universality class with spontaneous symmetry breaking of the CP symmetry in the absence of a background field. The large-n limit approaches the known phase transition of the zero-charge sector of the massive Schwinger model, occurring at negative mass. These findings are crucial for the implementation of cold-atom quantum simulators of QED.
研究不足
The study is limited to one spatial dimension and focuses on Zn lattice gauge theories as approximations to U(1) quantum electrodynamics. The numerical simulations are constrained by the system sizes and the values of n considered.
1：Experimental Design and Method Selection:
The study employs Zn lattice gauge theories coupled to spinless fermionic matter, using discrete representations of the Weyl commutator for the U(1) group. A DMRG code is used for numerical simulations, exactly implementing Gauss’s law.
2：Sample Selection and Data Sources:
The models are studied for n = 2 to n = 8, focusing on their ground-state properties and phase transitions.
3：List of Experimental Equipment and Materials:
Numerical simulations are performed using a DMRG code, with no physical equipment used.
4：Experimental Procedures and Operational Workflow:
The study involves setting up the Zn models, performing numerical simulations to study ground-state properties, and analyzing phase transitions and symmetry breaking.
5：Data Analysis Methods:
Finite-size scaling and critical exponents are analyzed to characterize phase transitions, with a focus on the Ising universality class.
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