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Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
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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.
Forward citations
Cited by 4 Pith papers
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The two-flavor Schwinger model at 50: Solving Coleman's puzzles
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...
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Infinite matrix product states for $(1+1)$-dimensional gauge theories
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.
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Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States
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.
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Multi-particle states investigation with tensor renormalization group method
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.
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