Please use this identifier to cite or link to this item:
https://doi.org/10.3842/SIGMA.2009.023
Title: | Nonlinear Dirac equations | Authors: | Ng, W.K. Parwani, R.R. |
Keywords: | Lorentz violation Nonlinear Dirac equation |
Issue Date: | 2009 | Citation: | Ng, W.K., Parwani, R.R. (2009). Nonlinear Dirac equations. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 5 : -. ScholarBank@NUS Repository. https://doi.org/10.3842/SIGMA.2009.023 | Abstract: | We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in the degree of nonlinearity and number of derivatives. We give explicit examples of such nonlinear equations, studying their discrete symmetries and other properties. Motivated by some previously suggested applications we then consider nonlinear terms that simultaneously violate Lorentz covariance and again study various explicit examples. We contrast our equations and construction procedure with others in the literature and also show that our equations are not gauge equivalent to the linear Dirac equation. Finally we outline various physical applications for these equations. | Source Title: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) | URI: | http://scholarbank.nus.edu.sg/handle/10635/97341 | ISSN: | 18150659 | DOI: | 10.3842/SIGMA.2009.023 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.