Global and Infinitesimal Nonlinear Chiral Transformations
- 1 March 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (3), 748-761
- https://doi.org/10.1063/1.1665205
Abstract
The problem of determining arbitrary nonlinear representations of a given compact Lie group is studied with the object of constructing Lagrangians invariant under the group. To achieve this, expressions for the covariant derivatives are obtained and it is shown how previous treatments based on global and on infinitesimal considerations are related. The noncompact case, the relationship between non‐linearity and zero‐mass particles, and the possibility of embedding the representation manifold in a higher‐dimensional space are all discussed.Keywords
This publication has 19 references indexed in Scilit:
- Structure of Phenomenological Lagrangians. IPhysical Review B, 1969
- Note on Nonlinear Realizations of Chiral SymmetryPhysical Review B, 1968
- Quantized Gauge Field Theory of Chiral SymmetryPhysical Review B, 1968
- Chiral Symmetry and the Pion MassPhysical Review Letters, 1968
- Unified Formulation of Effective Nonlinear Pion-Nucleon LagrangiansPhysical Review B, 1967
- Field Theory of Chiral SymmetryPhysical Review B, 1967
- Chiral dynamicsPhysics Letters B, 1967
- Embedding of Various Relativistic Riemannian Spaces in Pseudo-Euclidean SpacesReviews of Modern Physics, 1965
- A theory of the fundamental interactionsAnnals of Physics, 1957
- Zur Theorie des WasserstoffatomsThe European Physical Journal A, 1935