@article{oai:oist.repo.nii.ac.jp:00001186, author = {Hikami, Shinobu}, issue = {8}, journal = {Progress of Theoretical and Experimental Physics}, month = {Aug}, note = {Dimensional reductions in the branched polymer model and the random field Ising model (RFIM) are discussed by a conformal bootstrap method. Small minors are applied for the evaluations of the scale dimensions of these two models and the results are compared to the D′=D−2D Yang–Lee edge singularity and to the pure D′=D−2D Ising model, respectively. For the former case, the dimensional reduction is shown to be valid for 3≤D≤8 and, for the latter case, the deviation from the dimensional reduction can be seen below five dimensions.}, title = {Dimensional reduction by conformal bootstrap}, volume = {2019}, year = {2019} }