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- W2044228752 abstract "We prove that, in (2+1) dimensions, the S-wave phase shift, $ delta_0(k)$, k being the c.m. momentum, vanishes as either $delta_0 to {cover ln (k/m)} or delta_0 to O(k^2)$ as $kto 0$. The constant $c$ is universal and $c=pi/2$. This result is established first in the framework of the Schrodinger equation for a large class of potentials, second for a massive field theory from proved analyticity and unitarity, and, finally, we look at perturbation theory in $phi_3^4$ and study its relation to our non-perturbative result. The remarkable fact here is that in n-th order the perturbative amplitude diverges like $(ln k)^n$ as $kto 0$, while the full amplitude vanishes as $(ln k)^{-1}$. We show how these two facts can be reconciled." @default.
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- W2044228752 date "1998-06-24" @default.
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- W2044228752 title "Universality of low-energy scattering in 2+1 dimensions" @default.
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- W2044228752 doi "https://doi.org/10.1103/physrevd.58.025014" @default.
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