Some new exact critical-point amplitudes

2000/01/12 by Hassan Chamati, H. Chamati, D. M. Danchev +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0001158

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

arxiv created 2000/01/12 · arxiv updated 2009/11/30

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/r^d+σ) is presented.

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