Lattice Schwinger Model and Spacetime Supersymmetry
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912231986298880 |
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| author | Cheng, Yanting Liu, Shang |
| author_facet | Cheng, Yanting Liu, Shang |
| contents | Gauge theories in (1+1)D have attracted renewed attention partially due to their experimental realizations in quantum simulation platforms. In this work, we revisit the lattice massive Schwinger model and the (1+1)D lattice Abelian-Higgs model, uncovering previously overlooked universal features, including the emergence of a supersymmetric quantum critical point when the Maxwell term's coefficient changes sign. To facilitate the quantum simulation of these theories, we adopt a strategy of truncating the electric field eigenvalues to a finite subset, preserving the exact gauge and global symmetries. Our primary focus is the truncated lattice Schwinger model at $θ=0$, a model not equivalent to familiar spin models. We find that upon reversing the sign of the Maxwell term, the second-order deconfinement-confinement transition can become first-order, and the two types of transitions are connected by a supersymmetric critical point in the tricritical Ising universality class. In the case of truncated abelian-Higgs model at $θ=0$, which turns out to be equivalent to the quantum Blume-Capel model, the very existence of a deconfined phase requires a negative-sign Maxwell term. Similarly, there is a tricritical Ising point separating first-order and second-order phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09697 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice Schwinger Model and Spacetime Supersymmetry Cheng, Yanting Liu, Shang Quantum Gases Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics Gauge theories in (1+1)D have attracted renewed attention partially due to their experimental realizations in quantum simulation platforms. In this work, we revisit the lattice massive Schwinger model and the (1+1)D lattice Abelian-Higgs model, uncovering previously overlooked universal features, including the emergence of a supersymmetric quantum critical point when the Maxwell term's coefficient changes sign. To facilitate the quantum simulation of these theories, we adopt a strategy of truncating the electric field eigenvalues to a finite subset, preserving the exact gauge and global symmetries. Our primary focus is the truncated lattice Schwinger model at $θ=0$, a model not equivalent to familiar spin models. We find that upon reversing the sign of the Maxwell term, the second-order deconfinement-confinement transition can become first-order, and the two types of transitions are connected by a supersymmetric critical point in the tricritical Ising universality class. In the case of truncated abelian-Higgs model at $θ=0$, which turns out to be equivalent to the quantum Blume-Capel model, the very existence of a deconfined phase requires a negative-sign Maxwell term. Similarly, there is a tricritical Ising point separating first-order and second-order phase transitions. |
| title | Lattice Schwinger Model and Spacetime Supersymmetry |
| topic | Quantum Gases Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2502.09697 |