Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912427663163392 |
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| author | Peng, Changnan Diamantini, Maria Cristina Funcke, Lena Hassan, Syed Muhammad Ali Jansen, Karl Kühn, Stefan Luo, Di Naredi, Pranay |
| author_facet | Peng, Changnan Diamantini, Maria Cristina Funcke, Lena Hassan, Syed Muhammad Ali Jansen, Karl Kühn, Stefan Luo, Di Naredi, Pranay |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory Peng, Changnan Diamantini, Maria Cristina Funcke, Lena Hassan, Syed Muhammad Ali Jansen, Karl Kühn, Stefan Luo, Di Naredi, Pranay High Energy Physics - Theory High Energy Physics - Lattice Quantum Physics 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. |
| title | Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory |
| topic | High Energy Physics - Theory High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2407.20225 |