Calculation of Universal Amplitude Ratios in three-loop order

Details Calculation of Universal Amplitude Ratios in three-loop order Calculation of Universal Amplitude Ratios in three-loop order

1996-06-13

arxiv.org/abs/cond-mat/9606091v3

Nucl.Phys.B479:654-662,1996

Physics

Condensed Matter

9 pages, latex, no figures, numerical errors corrected

Scientific paper

10.1016/0550-3213(96)00424-5

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 $\phi^4$ 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 three-loop approximation. Using the fixed point values of the coupling constants we obtain $f_+/f_-=2.013(28)$ and $C_+/C_-=4.72(17)$.

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