# Large-n critical behavior of O(n)×O(m) spin models

@article{Pelissetto2001LargenCB,
title={Large-n critical behavior of O(n)×O(m) spin models},
author={Andrea Pelissetto and Paolo Rossi and Ettore Vicari},
journal={Nuclear Physics},
year={2001},
volume={607},
pages={605-634}
}
• Published 3 April 2001
• Mathematics
• Nuclear Physics

## Figures from this paper

### Critical behavior of O(2)⊗O(N) symmetric models

• Physics
• 2004
We investigate the controversial issue of the existence of universality classes describing critical phenomena in three-dimensional statistical systems characterized by a matrix order parameter with

### On the UV completion of the O(N) model in 6 − ϵ dimensions: a stable large-charge sector

• Physics, Mathematics
Journal of High Energy Physics
• 2020
Abstract We study large charge sectors in the O(N) model in 6 − ϵ dimensions. For 4 < d < 6, in perturbation theory, the quartic O(N) theory has a UV stable fixed point at large N . It was recently

### Why Might the Standard Large N Analysis Fail in the O(N) Model: The Role of Cusps in Fixed Point Potentials.

• Physics, Mathematics
Physical review letters
• 2018
This work shows on the example of the O(N) model that at N=∞ its standard implementation misses some fixed points of the renormalization group in all dimensions smaller than four, and shows that the mechanism at play holds also for the O (N)⊗O(2) model and is thus probably generic.

### J ul 2 01 4 Approaching conformal window of O ( n ) × O ( m ) symmetric Landau-Ginzburg models from conformal bootstrap

• Physics
• 2021
O(n) × O(m) symmetric Landau-Ginzburg models in d = 3 dimension possess a rich structure of the renormalization group and its understanding offers a theoretical prediction of the phase diagram in

### Critical behavior of two-dimensional frustrated spin models with noncollinear order

• Mathematics
• 2001
We study the critical behavior of frustrated spin models with noncollinear order in two dimensions, including antiferromagnets on a triangular lattice and fully frustrated antiferromagnets. For this

### Approaching conformal window of $O(n)\times O(m)$ symmetric Landau-Ginzburg models from conformal bootstrap

• Physics
• 2014
$O(n) \times O(m)$ symmetric Landau-Ginzburg models in $d=3$ dimension possess a rich structure of the renormalization group and its understanding offers a theoretical prediction of the phase diagram

### Chiral critical behavior of frustrated spin systems in two dimensions from five-loop renormalization-group expansions

• Physics
• 2003
We analyze the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group (RG) approximation. The structure of the RG flow is

## References

SHOWING 1-10 OF 49 REFERENCES

### Randomly dilute spin models: A six-loop field-theoretic study

• Mathematics
• 2000
We consider the Ginzburg-Landau MN-model that describes M N-vector cubic models with O(M)-symmetric couplings. We compute the renormalization-group functions to six-loop order in d=3. We focus on

### Generalized helimagnets between two and four dimensions.

• Physics
Physical review letters
• 1996
In the neighborhood of two dimensions, a D=2+epsilon renormalization group study reveals a rich fixed point structure as well as a nematic-like phase with partial spin ordering in D=3 helimagnets.

### Chiral Criticality near Two Dimensions

Critical behavior associated with the helical or noncollinear ordering for isotropic n >3-component spins is studied near d =2 dimensions based on an O ( n )× O (2) nonlinear σ model and the

### Critical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice

• Physics
Journal de Physique I
• 1994
We estimate, using a large-scale Monte Carlo simulation, the critical exponents of the antiferromagnetic Heisenberg model on a stacked triangular lattice. We obtain the following estimates:

### Non-Linear σ Model of Grassmann Manifold and Non-Abelian Gauge Field with Scalar Coupling

The renormalization group functions of the non-abelian gauge field with scalar coupling are studied near four dimensions. The 1/ N expansion is considered for Z<d<4. It is shown that this model is