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

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

Year

2026

Paper ID

2964

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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Current Paper #2964 #69041 Multi-modes Bessel-Gaussian-Orb... #69040 Collective Emission in LH2 Asse... #69038 Physically Constrained Ensemble... #69034 Hardware-aware Low-latency Quan...

External citation index: OpenAlex citation signal • updated 2026-06-14 14:17:10

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