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- W2047242536 abstract "The di erent meaning of dimensionality and universality in eld theory and in spin wave theory is illustrated on account of experimental examples. In spin wave theory it is distinguished between the dimensionality of the spin and the dimensionality of the exchange interactions. According to Renormalization Group (RG) theory, these atomistic characteristics are unimportant for the critical dynamics. Instead by inter-atomic interactions the dynamics of the ordered state is determined by the excitations of the continuous magnetic medium. These excitations are bosons. Consequently, the dimensionality of ordered magnets has to be assessed to the dimensionality of the relevant boson eld. The most serious consequence of RG theory is that the magnetic ordering transition also is executed by the boson eld. Typical for boson dynamics is a nite width of the critical range. In the atomistic models universality applies asymptotically at Tc only. It is evident that the critical power functions of the eld dynamics are di erent from those of the atomistic dynamics." @default.
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- W2047242536 date "2015-02-01" @default.
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- W2047242536 title "Dimensionality in Field Theory and in Spin Wave Theory" @default.
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- W2047242536 doi "https://doi.org/10.12693/aphyspola.127.356" @default.
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