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

Abstract

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.

References in corpus (9)

• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• The massless higher-loop two-point function
• Six-loop $\epsilon$ expansion study of three-dimensional $n$-vector model with cubic anisotropy
• Six-loop beta functions in general scalar theory
• Six-loop $\epsilon$ expansion study of three-dimensional $O(n)\times O(m)$ spin models
• Application of the DRA method to the calculation of the four-loop QED-type tadpoles
• Combinatorics of $\mathbf{R}$-, ${\mathbf{R}}^{-1}$-, and ${\mathbf{R}}^{\ast }$-operations and asymptotic expansions of feynman integrals in the limit of large momenta and masses
• Six-loop $\epsilon$ expansion of three-dimensional $\text{U}(n)\times \text{U}(m)$ models

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