Spectral-Gap Corrections in Finite Open SU(2) Plaquette Strips: Second- and Fourth-Order Results for Two to Five Plaquettes
Year: 2026
Type: preprint
Abstract: This preprint investigates perturbative spectral-gap corrections in finite open SU(2) plaquette-strip Hamiltonians. An analytical second-order effective Hamiltonian is developed for finite strips, yielding an explicit positive second-order correction to the gap. Fourth-order corrections are computed numerically for systems containing two through five plaquettes, revealing a change in the sign of the fourth-order coefficient between the two- and three-plaquette cases. The calculations are supported by matrix-element checks, direct spectral comparisons, and computational consistency tests. Reproducible Python programs and numerical data accompany the manuscript. The results characterize finite-dimensional models and do not establish a uniform spectral gap in the infinite-volume limit or resolve the four-dimensional Yang–Mills mass-gap problem. The work is presented as a computational and analytical contribution to the study of spectral stability in finite SU(2) lattice systems.
Author: Ayala Feliciano, Daniel
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221434499
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