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Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States

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arxiv 1611.00705 v2 pith:6R4LF5FV submitted 2016-11-02 hep-lat cond-mat.str-elquant-ph

Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States

Mari Carmen Ba\~nuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan K\"uhn This is my paper
classification hep-lat cond-mat.str-elquant-ph
keywords phaseanalyticalcasematrixmodelpotentialproductschwinger
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless case and extend the computation to the massive case, where no analytical predictions are available. Our calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The two-flavor Schwinger model at 50: Solving Coleman's puzzles

    hep-th 2026-05 accept novelty 8.0

    Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs b...

  2. Infinite matrix product states for $(1+1)$-dimensional gauge theories

    hep-th 2025-08 unverdicted novelty 7.0

    A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.

  3. Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States

    hep-lat 2025-09 unverdicted novelty 6.0

    Twisted mass fermions in the Hamiltonian two-flavor Schwinger model yield O(a) improvement and milder finite-volume effects once mass renormalization tunes the system to maximal twist.

  4. Multi-particle states investigation with tensor renormalization group method

    hep-lat 2026-06 unverdicted novelty 5.0

    A TRG-based spectroscopy scheme identifies multi-particle states in the 1+1d Ising model and extracts consistent two-particle scattering phase shifts via Lüscher's formula.