Longitudinal and transverse Greens functions in phi^4 model below and near the critical point

Details Longitudinal and transverse Greens functions in phi^4 model below and near the critical point Longitudinal and transverse Greens functions in phi^4 model below and near the critical point

2002-02-25

arxiv.org/abs/cond-mat/0202416v4

Physics

Condensed Matter

Statistical Mechanics

The paper has been completed by a wider discussion of literature (Sec.9.1), as well as by Monte Carlo simulations (Sec.10). No

Scientific paper

We have extended our method of grouping of Feynman diagrams (GFD theory) to study the transverse (G_t) and longitudinal (G_l) Greens functions in phi^4 model below the critical point (TT_c. The long-wave limit k->0 has been studied at T T_c as well as with a non-perturbative renormalization group (RG) analysis provided in our paper. It is confirmed also by Monte Carlo simulation. The exponents, as well as the ratio bM^2/a^2 (where M is magnetization, a and b are the amplitudes of G_t and G_l at k->0) are universal. The results of the perturbative RG method are reproduced by formally setting lambda_t=2. Nevertheless, we disprove the conventional statement that lambda_t=2 is the exact result.

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