# 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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## References

SHOWING 1-10 OF 25 REFERENCES

Induced Weyl gravity in two dimensions

- Physics
- 1992

The author considers a conformally invariant Lagrangian for a scalar field psi on a two-dimensional surface with Weyl geometry defined by a metric gmu nu and a gauge vector phi mu . The effective…

Quantum Geometry of Fermionic Strings

- Physics
- 1981

The formalism of the previous paper is extended to the case of supersymmetric strings. The effective theory which sums up fermionic surfaces is described by the supersymmetric Liouville equation. At…

The effective Lagrangian and the scale anomaly in the nonlinear σ model

- Physics
- 1992

We compute the one-loop effective Lagrangian for the generally covariant nonlinear σ model in two dimensions, using a technique of Bukbinder et al. This circumvents the need to evaluate Feynman…

The background field method and the ultraviolet structure of the supersymmetric nonlinear σ-model

- Physics
- 1981

Calculations of the ultraviolet counterterms of the bosonic and supersymmetric nonlinear σ-models in two space-time dimensions are undertaken in order to verify conclusions of a recent argument based…

Quantum Geometry of Bosonic Strings

- Physics
- 1981

We develop a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.). These sums are reduced to the…

Operator Regularization and Quantum Gravity

- Physics
- 1989

Operator regularization has been shown to be a symmetry preserving means of computing Green functions in gauge symmetric and supersymmetric theories which avoids the explicit occurrence of…

On gauge invariance and vacuum polarization

- Physics
- 1951

This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only…

Operator regularization of Green's functions.

- Physics, MedicinePhysical review letters
- 1987

Operator regularization in background-field quantization facilitates the use of a perturbative expansion due to Schwinger to compute Green's functions to all orders. The procedure is distinct from…

Chiral multi-loops

- Physics
- 1972

Abstract With help of functional integral methods a complete perturbation series for a non-linear chiral Lagrangian is given, in which each term, corresponding to a class of graphs with a definite…

Can. J. Phys

- Can. J. Phys
- 1992