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This research constructs exact many-body scar towers within two-dimensional gauge theories using a purely algebraic approach involving $\eta$-pairing operators. The study highlights universal characteristics of these states, demonstrating how they exhibit anomalously low entanglement and long-range correlations before being disrupted by finite fermion masses. While the work is deeply theoretical, it advances the understanding of non-ergodic quantum dynamics in lattice field theories, a foundational area for future quantum simulation hardware.
Exact group invariant scar towers in two dimensional gauge theories
arXiv:2609.16132v1 Announce Type: cross Abstract: We construct exact many-body scar towers in two dimensional gauge theories with two flavors of massless fundamental fermions. For oppositely charged fermions, the scar subspace is generated by a gauge-neutral $\eta$-pairing operator, and admits a purely algebraic construction. Exact diagonalization methods reveal anomalously low entanglement and long-range pair correlations in the scar states. Charge conjugation maps the $\eta$-tower to a vector-flavor polarization sector of the equal charge model, yielding an interpretation as a coherent flavor mode with Josephson-like phase dynamics. Finite fermion masses mix the protected pair with an orthogonal channel and destroy the exact tower. The identified scar tower can be algebraically realized in a large family of lattice field theories, revealing a universal character of these states. Our results provide an analytical construction of invariant scar subspaces in a gauge theory with a nontrivial continuum interpretation.
Abstract:We construct exact many-body scar towers in two dimensional gauge theories with two flavors of massless fundamental fermions. For oppositely charged fermions, the scar subspace is generated by a gauge-neutral $\eta$-pairing operator, and admits a purely algebraic construction. Exact diagonalization methods reveal anomalously low entanglement and long-range pair correlations in the scar states. Charge conjugation maps the $\eta$-tower to a vector-flavor polarization sector of the equal charge model, yielding an interpretation as a coherent flavor mode with Josephson-like phase dynamics. Finite fermion masses mix the protected pair with an orthogonal channel and destroy the exact tower. The identified scar tower can be algebraically realized in a large family of lattice field theories, revealing a universal character of these states. Our results provide an analytical construction of invariant scar subspaces in a gauge theory with a nontrivial continuum interpretation.
High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Superconductivity (cond-mat.supr-con); High Energy Physics - Lattice (hep-lat); Quantum Physics (quant-ph)
arXiv:2609.16132 [hep-th]
(or arXiv:2609.16132v1 [hep-th] for this version)
https://doi.org/10.48550/arXiv.2609.16132 arXiv-issued DOI via DataCite (pending registration)
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