Some new exact critical-point amplitudes

Details Some new exact critical-point amplitudes Some new exact critical-point amplitudes

2000-01-12

arxiv.org/abs/cond-mat/0001158v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures, Bogolubov conference: "Problems of theoretical and mathematical physics", Moscow 1999, Russia

Scientific paper

The scaling properties of the free energy and some of universal amplitudes of a group of models belonging to the universality class of the quantum nonlinear sigma model and the O(n) quantum $\phi^4$ model in the limit $n\to \infty$ as well as the quantum spherical model, with nearest-neighbor and long-range interactions (decreasing at long distances $r$ as $1/r^{d+\sigma}$) is presented.

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