Calculation of universal amplitude ratios in three-loop order
Abstract
For the universality class of three-dimensional Ising systems the ratio of the high- and low-temperature amplitudes for the correlation length and for the susceptibility are universal quantities. They can be calculated by renormalized perturbation theory for scalar ø4 theory in fixed dimensions D = 3 in the symmetric phase and in the phase of broken symmetry. In this article the amplitude ratios are calculated in the three-loop approximation. Using the fixed point values of the coupling constants we obtain f+/ f- = 2.013(28) and dC+/ C- = 4.72(17).
- Publication:
-
Nuclear Physics B
- Pub Date:
- February 1996
- DOI:
- 10.1016/0550-3213(96)00424-5
- arXiv:
- arXiv:cond-mat/9606091
- Bibcode:
- 1996NuPhB.479..654G
- Keywords:
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- Condensed Matter;
- High Energy Physics - Lattice
- E-Print:
- 9 pages, latex, no figures, numerical errors corrected