A discrete model of the Dirac-Kaehler equation

A discrete model of the Dirac-Kaehler equation

We construct a new discrete analogue of the Dirac-Kaehler equation in which some key geometric aspects of the continuum counterpart are captured. We describe a discrete Dirac-Kaehler equation in the intrinsic notation as a set of difference equations and prove several statements about its decomposit...

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Veröffentlicht in:Reports on mathematical physics 2014-02, Vol.73 (1), p.109-125
1. Verfasser: Sushch, Volodymyr
Format: Artikel
Sprache:eng
Schlagworte:
Analogue
Construction
Continuums
Difference equations
Gages
Mathematical analysis
Mathematical models
Transformations
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Zusammenfassung:We construct a new discrete analogue of the Dirac-Kaehler equation in which some key geometric aspects of the continuum counterpart are captured. We describe a discrete Dirac-Kaehler equation in the intrinsic notation as a set of difference equations and prove several statements about its decomposition into difference equations of Duffin type. We study an analogue of gauge transformations for the massless discrete Dirac-Kaehler equations.
ISSN:0034-4877
DOI:10.1016/S0034-4877(14)60035-5