Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions
High Energy Physics - Lattice
2026-05-13 v2 High Energy Physics - Phenomenology
Quantum Physics
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.
Cite
@article{arxiv.2602.02344,
title = {Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions},
author = {Neel S. Modi and Anthony N. Ciavarella and Jad C. Halimeh and Christian W. Bauer},
journal= {arXiv preprint arXiv:2602.02344},
year = {2026}
}
Comments
37 pages, 33 figures, 5 appendices