Some new exact critical-point amplitudes

Abstract

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 ϕ4 model in the limit n ∞ as well as the quantum spherical model, with nearest-neighbor and long-range interactions (decreasing at long distances r as 1/rd+σ) is presented.

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