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}
}
• Published 20 June 2007
• Physics, Mathematics
• Nuclear Physics
3 Citations

Figures and Tables from this paper

• Mathematics
Journal 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
• 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 $d \geq 2$.

References

SHOWING 1-10 OF 26 REFERENCES

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
• Mathematics
• 1980
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
• 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 $d \geq 2$.