For the nearest-neighbor cosine XY model on the square lattice, the free-box thermodynamic two-point correlation at critical inverse temperature obeys C(r)=B_XY r^(-1/4)(log r)^(1/8)(1+o(1)) along a coordinate axis, with 0<B_XY<∞.
For the nearest-neighbor cosine XY model on the square lattice, the free-box thermodynamic two-point correlation at critical inverse temperature obeys C(r)=B_XY r^(-1/4)(log r)^(1/8)(1+o(1)) along a coordinate axis, with 0<B_XY<∞.
For the nearest-neighbor cosine XY model on the square lattice, the free-box thermodynamic two-point correlation at critical inverse temperature obeys C(r)=B_XY r^(-1/4)(log r)^(1/8)(1+o(1)) along a coordinate axis, with 0<B_XY<∞.
If correct, proves the predicted critical logarithmic correction with a positive finite amplitude for the planar cosine XY model.
Does the critical planar XY correlation have the predicted (log r)^(1/8) correction?
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OpenAI reports the critical XY logarithmic correlation correction
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