Noncompact sigma-models: Large N expansion and thermodynamic limit

@article{Duncan2007NoncompactSL,
  title={Noncompact sigma-models: Large N expansion and thermodynamic limit},
  author={Anthony Duncan and M. Niedermaier and Peter Weisz},
  journal={Nuclear Physics},
  year={2007},
  volume={791},
  pages={193-230}
}
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References

SHOWING 1-10 OF 26 REFERENCES

Perturbative and nonperturbative correspondences between compact and noncompact sigma-models

Four-point renormalized coupling constant in O(N) models

Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma-models

Some exact results for the O(N)-symmetric non-linear σ-model to O(1/N)

Cancellations of infrared divergences in the two-dimensional non-linear σ models

In the two-dimensionalO(N) nonlinear σ models, the expectation value of anyO(N) invariant observable is shown to have an infrared finite weak coupling perturbative expansion, although it is computed…

The intrinsic coupling in integrable quantum field theories

Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modes

We give a Lagrange formulation of the gauge invariantn-orbital model for disordered electronic systems recently introduced by Wegner. The derivation proceeds analytically without use of diagrams, and…

Perturbation theory and zero modes in O(N) lattice σ models

On the large N expansion in hyperbolic sigma-models

Invariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models are investigated. The existence of a large $N$ asymptotic expansion is proven on finite lattices of dimension $d \geq 2$.…

1/N contribution to physical quantities in the lattice O(N) σ-model