Lattice Schwinger Model and Spacetime Supersymmetry

• URL: http://arxiv.org/abs/2502.09697v1
• Date: Thu, 13 Feb 2025 19:00:00 GMT
• Title: Lattice Schwinger Model and Spacetime Supersymmetry
• Authors: Yanting Cheng, Shang Liu,
• Abstract summary: We revisit the lattice massive Schwinger model and the (1+1)D lattice Abelian-Higgs model. We uncover a supersymmetric quantum critical point when the Maxwell term's coefficient changes sign.
• Score: 3.4683494246563606
• License:
• Abstract: 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 $\theta=0$, 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 $\theta=0$, 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.

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