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- W3100992049 abstract "It is well known that sigma models in symmetric spaces accept equivalent descriptions in terms of integrable systems such as the sine-Gordon equation through Pohlmeyer reduction. In this paper, we study the mapping between known solutions of the Euclidean O(3) non-linear sigma model, such as instantons, merons and elliptic solutions that interpolate between the latter and solutions of the Pohlmeyer reduced theory, namely the sinh-Gordon equation. It turns out that instantons do not have a counterpart, merons correspond to the ground state, while the class of elliptic solutions is characterized by a two to one correspondence between solutions in the two descriptions." @default.
- W3100992049 created "2020-11-23" @default.
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- W3100992049 date "2017-11-29" @default.
- W3100992049 modified "2023-10-03" @default.
- W3100992049 title "Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction" @default.
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- W3100992049 doi "https://doi.org/10.1002/prop.201700067" @default.
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