Ashtekar Variables and Matter Coupling

Details Ashtekar Variables and Matter Coupling Ashtekar Variables and Matter Coupling

1995-01-20

arxiv.org/abs/gr-qc/9501021v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, latex

Scientific paper

It has been shown for low-spin fields that the use of only the self-dual part of the connection as basic variable does not lead to spurious equations or inconsistencies. We slightly generalize the form of the chiral Lagrangian of half-integer spin fields and express its imaginary part in a simple form. If the imaginary part is non-vanishing, it will lead to spurious equations. As an example, for (Majorana) Rarita-Schwinger fields the equations of motion of the torsion is solved and it is shown that it vanishes owing to the Fierz identity.

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