Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.02344

Authors: Modi, Neel S., Ciavarella, Anthony N., Halimeh, Jad C., Bauer, Christian W.

Institutions: Lawrence Berkeley National Laboratory, University of California, Berkeley

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, European Commission, Deutsche Forschungsgemeinschaft, Max-Planck-Gesellschaft, Office of Science, HORIZON EUROPE Framework Programme, High Energy Physics

Awards: G1146855974, G124228508, G1286236842, G1768993395, G2586477669, G3083819904, G3685081974, G419881185, G42916606, G4501827968, G498139845, G526230902, G5547477537, G759921648, EXC 2111: Munich Center for Quantum Science and Technology (MCQST), G969889393

OpenAlex ID: W7127375985

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