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

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

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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 46c wireless bra exponents in the limit 730 sunken lake road 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.