Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions

• URL: http://arxiv.org/abs/2602.02344v1
• Date: Mon, 02 Feb 2026 17:04:42 GMT
• Title: Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions
• Authors: Neel S. Modi, Anthony N. Ciavarella, Jad C. Halimeh, Christian W. Bauer,
• Abstract summary: We introduce a truncation of lattice QCD coupled to staggered fermions that includes (i) a local Krylov truncation that generates allowed basis states; (ii) a maximum allowed electric energy per link; (iii) a limit on the number of fermions per site; and (iv) a truncation in the large N_c scaling of Hamiltonian matrix elements.<n>Explicit truncated Hamiltonians for 1+1D and 2+1D lattices are given, and numerical simulations of string-breaking dynamics are performed.
• Score: 0.003004180595230273
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum simulations of quantum chromodynamics (QCD) require a representation of gauge fields and fermions on the finitely many degrees of freedom available on a quantum computer. We introduce a truncation of lattice QCD coupled to staggered fermions that includes (i) a local Krylov truncation that generates allowed basis states; (ii) a maximum allowed electric energy per link; (iii) a limit on the number of fermions per site; and (iv) a truncation in the large N_c scaling of Hamiltonian matrix elements. Explicit truncated Hamiltonians for 1+1D and 2+1D lattices are given, and numerical simulations of string-breaking dynamics are performed.

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