Fractal States of the Schwinger Model
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View abstract on PubMed
Summary
This summary is machine-generated.This study reveals fractal properties in the lattice Schwinger model, enabling a recurrent method to predict ground-state energies and wave functions for lattice gauge theories.
Area Of Science
- Condensed matter physics
- High-energy physics
- Quantum field theory
Background
- The lattice Schwinger model serves as a crucial testbed for lattice gauge theories.
- Understanding the complexity of many-body wave functions is a significant challenge.
Purpose Of The Study
- To investigate the fractal properties of the lattice Schwinger model.
- To develop a method for predicting ground-state energies and wave functions.
Main Methods
- Analysis of fractal properties of the lattice Schwinger model.
- Development of a recurrent procedure using a fractal Ansatz.
- Application of automated fractal image processing software.
Main Results
- Self-similarity of the ground state was identified.
- A recurrent procedure was developed to calculate ground-state wave functions and predict energies.
- Accurate energy predictions were achieved with few terms for hundreds of sites in specific parameter regimes.
Conclusions
- Fractal properties offer a new perspective on the complexity of many-body wave functions.
- This work establishes novel connections between condensed matter and high-energy lattice models.
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