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A matrix model of Yang-Mills theory coupled to fundamental fermions has been proposed as a computationally efficient approach to studying QCD in the strong coupling regime. This model preserves key aspects of QCD, such as the chiral anomaly, and successfully describes the mass spectrum of glueballs and light hadrons. Focusing on two-color QCD with a single quark (matrix-QCD \(_{2,1}\) ), which exhibits Pauli-Gürsey symmetry, we numerically investigate its spectrum in the ultra-strong coupling limit ( \(g = \infty \) ). We analyze superselection sectors labeled by baryon number B and spin J, uncovering a rich quantum phase transition structure. The division of spin between glue and quarks is explored, with significant glue contributions in several sectors. Additionally, at large baryon chemical potential \(\mu \) , we identify a phase where the ground state acquires nonzero spin, resembling the LOFF phase in two-color QCD.

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Two-Color One-Flavor QCD Matrix Model at  \(g_{YM}=\infty \)

  • 会议论文

  • 发表日期：

    2025年

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  • Nirmalendu Acharyya,
  • Prasanjit Aich,
  • Arkajyoti Bandyopadhyay,
  • Sachindeo Vaidya

摘要

A matrix model of Yang-Mills theory coupled to fundamental fermions has been proposed as a computationally efficient approach to studying QCD in the strong coupling regime. This model preserves key aspects of QCD, such as the chiral anomaly, and successfully describes the mass spectrum of glueballs and light hadrons. Focusing on two-color QCD with a single quark (matrix-QCD \(_{2,1}\) ), which exhibits Pauli-Gürsey symmetry, we numerically investigate its spectrum in the ultra-strong coupling limit ( \(g = \infty \) ). We analyze superselection sectors labeled by baryon number B and spin J, uncovering a rich quantum phase transition structure. The division of spin between glue and quarks is explored, with significant glue contributions in several sectors. Additionally, at large baryon chemical potential \(\mu \) , we identify a phase where the ground state acquires nonzero spin, resembling the LOFF phase in two-color QCD.