论文标题

具有强偶极 - 偶极相互作用的各向同性系统的关键行为:三环研究

Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study

论文作者

Kudlis, A., Pikelner, A.

论文摘要

我们通过在固定时空维度中通过重新分析组方法分析各向同性系统与偶极 - 偶极相互作用的关键行为。在三维理论中工作,我们在分析上找到了在主导偶极偶极力极限的关键指数的三环表达式。获得的系列的重新召集提供了接近$ o(3)$ - 理论预测的数值,证明了这种简化模型对具有强偶极 - 偶极相互作用的系统的适用性。

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for critical exponents in the limit of dominating dipole-dipole forces. Resummation of the series obtained provides numerical values close to $O(3)$-theory predictions, justifying the applicability of such a simplified model to systems with strong dipole-dipole interaction.

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