Non-linear sigma model

In quantum field theory, a nonlinear σ model describes a field Σ which takes on values in a nonlinear manifold called the target manifold  T. The non-linear σ-model was introduced by Gell-Mann & Lévy (1960, section 6), who named it after a field corresponding to a spinless meson called σ in their model.[1] This article deals primarily with the quantization of the non-linear sigma model; please refer to the base article on the sigma model for general definitions and classical (non-quantum) formulations and results.

  1. ^ Gell-Mann, M.; Lévy, M. (1960), "The axial vector current in beta decay", Il Nuovo Cimento, 16 (4), Italian Physical Society: 705–726, Bibcode:1960NCim...16..705G, doi:10.1007/BF02859738, ISSN 1827-6121, S2CID 122945049