Spinors in Weyl Geometry

@article{Fariborz1997SpinorsIW,
  title={Spinors in Weyl Geometry},
  author={Amir H. Fariborz and D. G. C. McKeon},
  journal={Classical and Quantum Gravity},
  year={1997},
  volume={14},
  pages={2517-2525}
}
We consider the wave equation for spinors in -dimensional Weyl geometry. By appropriately coupling the Weyl vector as well as the spin connection to the spinor field, conformal invariance can be maintained. The 1-loop effective action generated by the coupling of the spinor field to an external gravitational field is computed in two dimensions. It is found to be identical in form to the effective action for the case of a scalar field propagating in two dimensions. 
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