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- Title
Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction.
- Authors
Pastras, Georgios
- 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.
- Subjects
NON-linear sigma model (Statistical physics); SYMMETRIC spaces; SINE-Gordon equation; INSTANTONS; ELLIPTIC equations
- Publication
Fortschritte der Physik / Progress of Physics, 2018, Vol 66, Issue 1, pn/a
- ISSN
0015-8208
- Publication type
Article
- DOI
10.1002/prop.201700067