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- W2075945144 abstract "We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of proba- bility and Poincare 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 pre- viously 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." @default.
- W2075945144 created "2016-06-24" @default.
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- W2075945144 date "2009-02-27" @default.
- W2075945144 modified "2023-10-17" @default.
- W2075945144 title "Nonlinear Dirac Equations" @default.
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- W2075945144 doi "https://doi.org/10.3842/sigma.2009.023" @default.
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