The temperature-dependent non-Abelian gauge potential

• URL: http://arxiv.org/abs/2608.25437v1
• Date: Wed, 26 Aug 2026 06:51:07 GMT
• Title: The temperature-dependent non-Abelian gauge potential
• Abstract summary: This study shows that the usual time evolution operator can act as a U(1) gauge transformation on the initial wavefuntion.<n>We can employ a temperature-dependent Landau-Lifshitz-Gilbert (LLG) equation to describe the magnetization dynamics in the semi-classical limit.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This study shows that the usual time evolution operator can act as a U(1) gauge transformation on the initial wavefuntion. When considering the spin freedom in the system, the time evolution operator corresponds to a non-Abelian SU(2) gauge transformation for spin-1/2 particles and a SU(3) gauge transformation for spin-1 particles. If we adopt the adiabatic approximation in the magnetization dynamics of a ferromagnetic system driven by a spin-polarized current, a temperature-dependent non-Abelian thermal gauge potential will appear. We can employ a temperature-dependent Landau-Lifshitz-Gilbert (LLG) equation to describe the magnetization dynamics in the semi-classical limit, a linear approximated solution for this equation is given analytically.

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