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We give a simplified proof for the equivalence of loop-erased random walks to a lattice model containing two complex fermions, and one complex boson.
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Fractal dimension of critical curves in the O ( n ) O(n) -symmetric ϕ 4 \phi^{4} -model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models
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