Testing the SU (2) lattice Hamiltonian built from S₃ partitionings

Key Points

• The results demonstrate a viable implementation of SU(2) lattice gauge theories in both 1D and 2D systems, highlighting the adaptability of this approach.
• Findings include successful metrics from a 2-site Schwinger-type model and a single-plaquette system, showing effective simulation of gauge theory dynamics.
• Analysis is based on finite difference operators for canonical momenta and uses unitary diagonal link operators for eigenvalue determination across vertices on S3 partitionings, making calculations simpler to manage on classical hardware or quantum devices overall while facilitating future scalability plans for quantum processing environments for more complex systems analysis and simulation efforts within gauge theory frameworks, therefore encouraging broader applications in theoretical physics research domains.”,