<math display="inline"><mrow><msub><mrow><mi mathvariant="double-struck">Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> lattice gauge theory as a toy model for dense QCD - INSPIRE

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$Z_{3}$ lattice gauge theory as a toy model for dense QCD

Yoshimasa Hidaka
(
- Kyoto U., Yukawa Inst., Kyoto and
- RIKEN (main)
)
,
Yuya Tanizaki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Arata Yamamoto
(
- Tokyo U.
)

Apr 11, 2024

5 pages

Published in:

Phys.Rev.D 109 (2024) 11, 114502

Published: Jun 1, 2024

e-Print:

2404.07595 [hep-lat]

DOI:

10.1103/PhysRevD.109.114502 (publication)

Report number:

YITP-24-13

View in:

ADS Abstract Service

reference search2 citations

Citations per year

Abstract: (APS)

We propose the (

3 + 1

)-dimensional

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.

coupling: gauge
space: lattice
potential: chemical
quantum chromodynamics
lattice field theory
toy model
critical phenomena
Hilbert space
density
quark

References(42)

Figures(2)

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