2024/07/29 by Changnan Peng, Peng, Changnan, M. C. Diamantini +13 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2407.20225
openalex publication_date 2024/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this paper, a Hamiltonian lattice formulation for 2+1D compact Maxwell-Chern-Simons theory is derived. We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. Our formulation preserves topological features such as the quantization of the Chern-Simons level, the degeneracy of energy eigenstates, the non-trivial properties of Wilson loops, and the mutual and self statistics of anyons. This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.