Universal critical coupling constants for the three-dimensional n-vector model from field theory
The field-theoretical renormalization group (RG) approach in three dimensions is used to estimate the universal critical values of renormalized coupling constants g6 and g8 for the O(n)-symmetric model. The RG series for g6 and g8 are calculated in the four- and three-loop approximations, respective...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1999-08, Vol.60 (2 Pt A), p.1344-1349 |
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| container_end_page | 1349 |
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| container_issue | 2 Pt A |
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| container_title | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| container_volume | 60 |
| creator | Sokolov, A I Orlov, E V Ul'kov, V A Kashtanov, S S |
| description | The field-theoretical renormalization group (RG) approach in three dimensions is used to estimate the universal critical values of renormalized coupling constants g6 and g8 for the O(n)-symmetric model. The RG series for g6 and g8 are calculated in the four- and three-loop approximations, respectively, and then resummed by means of the Padé-Borel-Leroy technique. Under the optimal value of the shift parameter b providing the fastest convergence of the iteration procedure, numerical estimates for g*6 are obtained with an accuracy no worse than 0.3%. The RG expansion for g8 demonstrates a stronger divergence, and results in considerably cruder numerical estimates. |
| doi_str_mv | 10.1103/PhysRevE.60.1344 |
| format | Article |
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| ispartof | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1999-08, Vol.60 (2 Pt A), p.1344-1349 |
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| source | American Physical Society Journals |
| title | Universal critical coupling constants for the three-dimensional n-vector model from field theory |
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