Fixed points of nonlinear sigma models in d > 2

@article{Codello2009FixedPO,
  title={Fixed points of nonlinear sigma models in d > 2},
  author={Alessandro Codello and Roberto Percacci},
  journal={Physics Letters B},
  year={2009},
  volume={672},
  pages={280-283}
}
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References

SHOWING 1-10 OF 45 REFERENCES
Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method
The three dimensional nonlinear sigma model is nonrenormalizable within the perturbative method. Using the β function in the nonperturbative Wilsonian renormalization group method. we argue that some
Fixed points of higher-derivative gravity.
TLDR
The beta functions of higher-derivative gravity in four dimensions are recalculated using the one-loop approximation to an exact renormalization group equation and the theory appears to be asymptotically safe at a non-Gaussian fixed point rather than perturbatively renormalizable and asymPTotically free.
Phase Transition in the Nonlinear Sigma Model in Two + Epsilon Dimensional Continuum
We study the phase transition in the nonlinear O(N) σ model in 2+e dimensions. Our analysis is of the continuum theory and does not rely upon the artifice of a lattice. This phase transition occurs
ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY
We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has
...
1
2
3
4
5
...