Vassiliev, D (2008) A teleparallel representation of the Weyl Lagrangian. In: (Proceedings) Eleventh Marcel Grossmann Meeting on General Relativity. (pp. 1245 - 1247). World Scientific Publishing Company: Singapore.
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Conference dates: 23 – 29 July 2006. Abstract: The main result of the paper is a new representation of the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian - wedge product of axial torsion with a lightlike element of the coframe - and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, wedge product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J.B.Griffiths and R.A.Newing.
|Title:||A teleparallel representation of the Weyl Lagrangian|
|Event:||Eleventh Marcel Grossmann Meeting on General Relativity|
|Additional information:||Editors H.Kleinert and R.T.Jantzen, series editor R.Ruffini.|
|Keywords:||Dirac equation, spin, torsion|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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