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- W3100451885 abstract "Abstract We investigate some properties of the standard rotator approximation of the $mathrm{SU}(N)timesmathrm{SU}(N)$ sigma-model in the delta regime. In particular, we show that the isospin susceptibility calculated in this framework agrees with that computed by chiral perturbation theory up to next-to-next-to-leading order in the limit $ell=L_t/Ltoinfty$. The difference between the results involves terms vanishing like $1/ell$, plus terms vanishing exponentially with $ell$. As we have previously shown for the O($n$) model, this deviation can be described by a correction to the rotator spectrum proportional to the square of the quadratic Casimir invariant. Here we confront this expectation with analytic nonperturbative results on the spectrum in two dimensions for $N=3$." @default.
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- W3100451885 date "2020-07-01" @default.
- W3100451885 modified "2023-09-25" @default.
- W3100451885 title "On the rotator Hamiltonian for the SU (N) × SU (N) sigma model in the delta regime" @default.
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- W3100451885 doi "https://doi.org/10.1093/ptep/ptaa074" @default.
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