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Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
Nonlinear Dirac Equations
Wei Khim Ng, Rajesh R. Parwani Department of Physics, National University of Singapore, Kent Ridge, Singapore
Аннотация:
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.
Ключевые слова:
nonlinear Dirac equation; Lorentz violation.
Поступила: 12 ноября 2008 г.; в окончательном варианте 23 февраля 2009 г.; опубликована 27 февраля 2009 г.
Образец цитирования:
Wei Khim Ng, Rajesh R. Parwani, “Nonlinear Dirac Equations”, SIGMA, 5 (2009), 023, 20 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma369 https://www.mathnet.ru/rus/sigma/v5/p23
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