Spontaneous Frustration-Density-Wave Ordering in the Constrained SU(2) Vacuum on the Diamond Lattice in Granular Entropic Physics
Year: 2026
Type: preprint
Abstract: We perform nonlinear minimization of the Wilson plaquette action on a 4x4x4 diamond lattice supercell with SU(2) holonomies, subject to a gauge-invariant Wilson-loop constraint Tr(W_hex) <= W_max. Earlier attempts using edge-trace constraints were defeated by gauge bypass; the Wilson-loop constraint eliminates this possibility. With bypass blocked, the optimizer consistently finds spatially modulated frustration-density-wave configurations with 22-54% energy reduction relative to the uniform frustrated vacuum. The dominant Fourier mode (2,2,2) at |k| = 1.360 is consistent with the finite-momentum instability shell identified in the linear analysis. Multi-Q ordering emerges at looser constraints. A barrier of height 1.63 separates the frustrated and trivial sectors.
Author: Sekanina, Štěpán
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162135231
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