
doi: 10.5488/cmp.4.3.459
???????????????? ?????????????????? m -?????????????????? ???????????? ?? ???????????????????? ?????????? ?????????????????????? ???????????????????? ???????????????????? ?????????????????????????? ?????? ?????????????????? ?????????????????? ???????? ?????????????????????? ???? ?????????????????? ???????????? ??????????????????-???????????????? ?????????????????????????????????? ??????????. ???????????? ?????? ???????????????????????????? ?????????????? ???????????????????????? ?? ???????????????????????? ???????????????????? ?? ?????????????????????????? ???? ?? = 4 ??? d ??????????????????, ?????? ?? ?????????????????????????? ?????? ???????????????????? ???????????????? d = 3 ???????????????????????????????? ????????-????????????. ?????????????????????? ???????? ?????????????? ???????????? ?????????????????? ??????????, ?????? ???????????? ???? ?????????????? ?????????????? ?????????????? ???????? ?? ???????????????????? ?????????????????????? ???????????????????? ???????????? ????????????.
The critical behaviour of an m -vector model with a local anisotropy axis of random orientation is studied within the field-theoretical renormalization group approach for cubic distribution of anisotropy axis. Expressions for the renormalization group functions are calculated up to the two-loop order and investigated both by an ?? = 4 ??? d expansion and directly at space dimension d = 3 by means of the Pade-Borel resummation. One accessible ?? stable fixed point indicating a 2nd order ferromagnetic phase transition with dilute Ising-like critical exponents is obtained.
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