a Teleparallel Representation of the Weyl Lagrangian

Details a Teleparallel Representation of the Weyl Lagrangian a Teleparallel Representation of the Weyl Lagrangian

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1245v&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

1

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

a Teleparallel Representation of the Weyl Lagrangian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with a Teleparallel Representation of the Weyl Lagrangian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and a Teleparallel Representation of the Weyl Lagrangian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1337578