Simulating Lattice Gauge Theories with Virtual Rishons
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911488802816000 |
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| author | Rogerson, David Barata, João Konik, Robert M. Venugopalan, Raju Roy, Ananda |
| author_facet | Rogerson, David Barata, João Konik, Robert M. Venugopalan, Raju Roy, Ananda |
| contents | Classical tensor network and hybrid quantum-classical algorithms are promising candidates for the investigation of real-time properties of lattice gauge theories. We develop here a novel framework which enforces gauge symmetry via a quantum-link virtual rishon representation applied at intermediate steps. Crucially, the gauge and matter degrees of freedom are dynamical variables encoded in terms of qubits, enabling analysis of gauge theories in $d+1$ spacetime dimensions. We benchmark this framework in a U(1) gauge theory with and without matter fields. For $d = 1$, the multi-flavor Schwinger model with $1\leq N_f\leq3$ flavors is analyzed for arbitrary boundary conditions and nonzero topological angle, capturing signatures of the underlying Wess-Zumino-Witten conformal field theory. For $d = 2$, we extract the confining string tension in close agreement with continuum expectations. These results establish the virtual rishon framework as a scalable and robust approach for the simulation of lattice gauge theories using both classical tensor networks as well as near-term quantum hardware. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simulating Lattice Gauge Theories with Virtual Rishons Rogerson, David Barata, João Konik, Robert M. Venugopalan, Raju Roy, Ananda High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice Nuclear Theory Quantum Physics Classical tensor network and hybrid quantum-classical algorithms are promising candidates for the investigation of real-time properties of lattice gauge theories. We develop here a novel framework which enforces gauge symmetry via a quantum-link virtual rishon representation applied at intermediate steps. Crucially, the gauge and matter degrees of freedom are dynamical variables encoded in terms of qubits, enabling analysis of gauge theories in $d+1$ spacetime dimensions. We benchmark this framework in a U(1) gauge theory with and without matter fields. For $d = 1$, the multi-flavor Schwinger model with $1\leq N_f\leq3$ flavors is analyzed for arbitrary boundary conditions and nonzero topological angle, capturing signatures of the underlying Wess-Zumino-Witten conformal field theory. For $d = 2$, we extract the confining string tension in close agreement with continuum expectations. These results establish the virtual rishon framework as a scalable and robust approach for the simulation of lattice gauge theories using both classical tensor networks as well as near-term quantum hardware. |
| title | Simulating Lattice Gauge Theories with Virtual Rishons |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2603.05151 |