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arXiv · 1801.09052

Dimensional Reduction by Conformal Bootstrap

Shinobu Hikami
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Abstract

The dimensional reductions in the branched polymer and the random field Ising model (RFIM) are discussed by a conformal bootstrap method. The small size minors are applied for the evaluations of the scale dimensions of these two models and the results are compared to D'=D-2 dimensional Yang-Lee edge singularity and to pure D'=D-2 dimensional Ising model, respectively. For the former case, the dimensional reduction is shown to be valid for $3 \le D \le 8$, and for the latter case, the deviation from the dimensional reduction can be seen below five dimensions.

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Shinobu Hikami. 2018-01-27. Dimensional Reduction by Conformal Bootstrap. https://doi.org/10.1093/ptep/ptz081

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