Physics – Condensed Matter
Scientific paper
1997-05-09
Phys.Rev.E57:184-210,1998
Physics
Condensed Matter
65 pages, revtex
Scientific paper
10.1103/PhysRevE.57.184
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 rotational-invariant fixed point. Several approaches are exploited, such as strong-coupling expansion of lattice non-linear O(N) sigma models, 1/N-expansion, field-theoretical methods within the phi^4 continuum formulation. In non-rotational invariant physical systems with O(N)-invariant interactions, the vanishing of space-anisotropy approaching the rotational-invariant fixed point is described by a critical exponent rho, which is universal and is related to the leading irrelevant operator breaking rotational invariance. At N=\infty one finds rho=2. We show that, for all values of $N\geq 0$, $\rho\simeq 2$. Non-Gaussian corrections to the universal low-momentum behavior of G(x) are evaluated, and found to be very small.
Campostrini Massimo
Pelissetto Andrea
Rossi Paolo
Vicari Ettore
No associations
LandOfFree
The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-657429