## 60 Citations

### 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, MathematicsJournal 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, MathematicsPhysical 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…

### Six-loop ε expansion study of three-dimensional O(n)×O(m) spin models

- Materials ScienceNuclear Physics B
- 2020

### 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.

- PhysicsPhysical 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

- Physics
- 1991

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

- PhysicsJournal 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:…

### Four-point renormalized coupling constant and Callan-Symanzik beta-function in O(N) models

- Mathematics
- 1997

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

- Physics, Mathematics
- 1980

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…