$\mathbb{Z}_3$ lattice gauge theory as a toy model for dense QCD
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913381183651840 |
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| author | Hidaka, Yoshimasa Tanizaki, Yuya Yamamoto, Arata |
| author_facet | Hidaka, Yoshimasa Tanizaki, Yuya Yamamoto, Arata |
| contents | We propose the $(3+1)$-dimensional $\mathbb{Z}_3$ lattice gauge theory coupled with the 2-flavor Wilson-Dirac fermion as a toy model for studying quantum chromodynamics (QCD) at nonzero density. We study its phase diagram in the space of the lattice gauge couplings $g^2$ and the quark chemical potentials $μ$ and discuss the similarity and difference compared with anticipated behaviors of actual QCD. This model also provides a testing ground for various algorithms of the numerical Hamiltonian formalism as its Hilbert space is finite-dimensional in a finite box. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07595 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathbb{Z}_3$ lattice gauge theory as a toy model for dense QCD Hidaka, Yoshimasa Tanizaki, Yuya Yamamoto, Arata High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We propose the $(3+1)$-dimensional $\mathbb{Z}_3$ lattice gauge theory coupled with the 2-flavor Wilson-Dirac fermion as a toy model for studying quantum chromodynamics (QCD) at nonzero density. We study its phase diagram in the space of the lattice gauge couplings $g^2$ and the quark chemical potentials $μ$ and discuss the similarity and difference compared with anticipated behaviors of actual QCD. This model also provides a testing ground for various algorithms of the numerical Hamiltonian formalism as its Hilbert space is finite-dimensional in a finite box. |
| title | $\mathbb{Z}_3$ lattice gauge theory as a toy model for dense QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.07595 |