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Dense $\textrm{QCD}_2$ with matrix product states

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arxiv 2311.11643 v2 pith:REKPYUIH submitted 2023-11-20 hep-lat hep-thnucl-thquant-ph

Tomoya Hayata , Yoshimasa Hidaka , Kentaro Nishimura This is my paper · ORCID
classification hep-lathep-thnucl-thquant-ph
keywords densitymatrixbaryonchiralcondensatediscussinhomogeneousmathrm
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abstract

We study one-flavor $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ lattice QCD in ($1+1$) dimensions at zero temperature and finite density using matrix product states and the density matrix renormalization group. We compute physical observables such as the equation of state, chiral condensate, and quark distribution function as functions of the baryon number density. As a physical implication, we discuss the inhomogeneous phase at nonzero baryon density, where the chiral condensate is inhomogeneous, and baryons form a crystal. We also discuss how the dynamical degrees of freedom change from hadrons to quarks through the formation of quark Fermi seas.

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Cited by 4 Pith papers

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

  1. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  2. Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model

    hep-ph 2025-09 conditional novelty 6.0 of 10

    In the 1+1D massive Schwinger model, tensor network simulation of a localized excitation reveals Bjorken-like hydrodynamic flow for small fermion mass, but not for large mass.

  3. Quantum thermalization of Quark-Gluon Plasma

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...

  4. Tensor-network toolbox for probing dynamics of non-Abelian gauge theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...

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