Calculation of universal amplitude ratios in threeloop order
Abstract
For the universality class of threedimensional Ising systems the ratio of the high and lowtemperature amplitudes for the correlation length and for the susceptibility are universal quantities. They can be calculated by renormalized perturbation theory for scalar ø^{4} 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 threeloop 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:
 10.1016/05503213(96)004245
 arXiv:
 arXiv:condmat/9606091
 Bibcode:
 1996NuPhB.479..654G
 Keywords:

 Condensed Matter;
 High Energy Physics  Lattice
 EPrint:
 9 pages, latex, no figures, numerical errors corrected