Wilson Loop
A gauge-invariant quantity in gauge theory obtained by parallel transport around a closed path, used to characterize the physical effects of a gauge field.
Timeline (last 90 days)
The paper "Attention as Lattice Gauge Theory: Relations Interact Only Through Wilson Loops" proposes that, under the per-entity frame freedom assumption, Wilson-loop-based edge attention is the only form allowed by symmetry.
The only gauge-invariant score for a triangle is a class function of its holonomy, namely the Wilson loop.
Lattice QCD constructs the full form of Wilson loops equivariantly on the lattice, but has not connected it to attention mechanisms for relational reasoning.
All Facts (3)
The paper "Attention as Lattice Gauge Theory: Relations Interact Only Through Wilson Loops" proposes that, under the per-entity frame freedom assumption, Wilson-loop-based edge attention is the only form allowed by symmetry.
50%UnverifiedThe only gauge-invariant score for a triangle is a class function of its holonomy, namely the Wilson loop.
50%UnverifiedLattice QCD constructs the full form of Wilson loops equivariantly on the lattice, but has not connected it to attention mechanisms for relational reasoning.
50%