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- W1993704539 abstract "With the non-linear σ-model on the lattice in view, we study its continuum version with a finite, sharp momentum cut-off. We find exact analytical results for its mass gap and magnetic susceptibility to two leading orders in 1/N. Asymptotically, at weak coupling, our results converge to those of renormalization group improved weak coupling perturbation theory to two-loop order, and give the ratio of the mass to the Λ-parameter analytically. Thus our results provide an opportunity to study the rate at which asymptotic scaling is approached. Since this approach is slow for low values of N, we find a region of intermediate coupling strenghts, where our results describe non-asymptotic scaling of a well-defined and universally valid kind." @default.
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- W1993704539 date "1991-01-01" @default.
- W1993704539 modified "2023-09-27" @default.
- W1993704539 title "Some exact results for the O(N)-symmetric non-linear σ-model to O(1/N)" @default.
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- W1993704539 doi "https://doi.org/10.1016/0550-3213(91)90211-f" @default.
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