Distinguishes Wilson holonomy from spectral monodromy in spin-orbit rings and maps the Hamiltonian to effective U(1) plus non-Abelian connections for two explicit ring models.
Gauge invariance and current algebra in non- relativistic many-body theory,
2 Pith papers cite this work. Polarity classification is still indexing.
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Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
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Wilson Holonomy and Spectral Monodromy in Spin-Orbit Rings: Effective Gauge Connections and Loop Observables
Distinguishes Wilson holonomy from spectral monodromy in spin-orbit rings and maps the Hamiltonian to effective U(1) plus non-Abelian connections for two explicit ring models.
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Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.