# 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} }

## 3 Citations

### Perturbative and nonperturbative correspondences between compact and noncompact sigma-models

- Mathematics
- 2008

### Continuum limit of fishnet graphs and AdS sigma model

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe consider the continuum limit of 4d planar fishnet diagrams using integrable spin chain methods borrowed from the N$$ \mathcal{N} $$ = 4 Super-Yang-Mills theory. These techniques give us…

### On the large N expansion in hyperbolic sigma-models

- Mathematics
- 2007

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 $d \geq 2$.…

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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…

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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…

### On the large N expansion in hyperbolic sigma-models

- Mathematics
- 2007

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 $d \geq 2$.…