Critical limit and anisotropy in the two - point correlation function of three - dimensional O ( N ) models
نویسنده
چکیده
In three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green’s function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a a rotationally-invariant fixed point. In non rotationally-invariant physical systems with O(N)-invariant interactions, the vanishing of anisotropy in approaching the rotationally-invariant fixed point is described by a critical exponent ρ, which is universal and is related to the leading irrelevant operator breaking rotational invariance. At N = ∞ one finds ρ = 2. 1/N expansion and strong-coupling calculations show that, for all values of N ≥ 0, ρ ≃ 2. Non-Gaussian corrections to the universal low-momentum behavior of G(x) are evaluated, and found to be very small. PACS numbers: 05.70.Jk, 64.60.Fr, 75.10.Hk, 75.40.Cx Typeset using REVTEX
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The Two-point Correlation Function of Three-dimensional O(n ) Models: Critical Limit and Anisotropy. Typeset Using Revt E X 1
In three-dimensional O(N) models, we investigate the low-momentum be-havior of the two-point Green’s function G(x) in the critical region of thesymmetric phase. We consider physical systems whose criticality is charac-terized by a rotational-invariant fixed point. Several approaches are exploited,such as strong-coupling expansion of lattice non-linear O(N) σ models, 1/N -exp...
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