Tadesse, Mesfin2018-06-292023-11-092018-06-292023-11-091989-06http://10.90.10.223:4000/handle/123456789/5010The thre(!"-d"lmctlsional ISing mode"' (3DII~) hilS been Olie td the unsolved problems in physics. Polyakov hiS sugg0sted ~hlt It may be possible to solve this model via the string theory methods. The 3DHl in the cl'itical regime can be assu.I.il-'i;d' to corr-espond to the fermionic string which s.pans a 2"0 world-sheet. The 301M also corresponds to theconventtonal-.2 anct.(" Lagrangia field theories. It can be shown that the scaling dimenstons of these two and three-dimensional fields are proportional. Tha constant of proportionality is heuristically identified with the Hausdorff dimension of the ~Iol·ld-sheet. Computercalculatio" of the Hausdorff dimension and the scaling dtmeos10ns of the 3D i:onventional field, the results of which artl available in the literature, enable numerical evaluation of the critical exponent! m and B of the. Ising model. Thesa agrae well with experimental resultsenThree- Dimensionai Ising ModelThesis