Dense $\textrm{QCD}_2$ with matrix product states
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915130084687872 |
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| author | Hayata, Tomoya Hidaka, Yoshimasa Nishimura, Kentaro |
| author_facet | Hayata, Tomoya Hidaka, Yoshimasa Nishimura, Kentaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11643 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dense $\textrm{QCD}_2$ with matrix product states Hayata, Tomoya Hidaka, Yoshimasa Nishimura, Kentaro High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics 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. |
| title | Dense $\textrm{QCD}_2$ with matrix product states |
| topic | High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2311.11643 |