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arXiv · hep-th/9910168

On the Consistency of a Fermion-Torsion Effective Theory

G. de Berredo-Peixoto·J. A. Helayel-Neto·I. L. Shapiro
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Abstract

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and renormalizability in the low-energy region. The investigation of the Ward identities and the one- and two-loop divergences indicate serious problems arising in the theory. The final conclusion is that torsion may exist as a string excitation, but there are very severe restrictions for the existence of a propagating torsion field, subject to the quantization procedure, at low energies.

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G. de Berredo-Peixoto, J. A. Helayel-Neto, I. L. Shapiro. 2001-03-12. On the Consistency of a Fermion-Torsion Effective Theory. https://doi.org/10.1088/1126-6708%2F2000%2F02%2F003

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