On the Consistency of a Fermion-Torsion Effective Theory

Details On the Consistency of a Fermion-Torsion Effective Theory On the Consistency of a Fermion-Torsion Effective Theory

1999-10-21

arxiv.org/abs/hep-th/9910168v2

JHEP 0002 (2000) 003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 26 pages, 4 figures

Scientific paper

10.1088/1126-6708/2000/02/003

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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