Parity violation in four and higher dimensional spacetime with torsion
Harish-Chandra Research Institute, Chhatnag Road, 211019, Jhusi, Allahabad, India
2 Departamento de Fisica da FCUL, Campo Grande, 1749-016, Lisboa, Portugal
3 Department of Theoretical Physics, Indian Association for the Cultivation of Science, 700032, Calcutta, India
4 Department of Physics, Jadavpur University, 700032, Calcutta, India
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The possibility of parity violation in a gravitational theory with torsion is extensively explored in four and higher dimensions. In the former case, we have listed our conclusions on when and whether parity ceases to be conserved, with both two- and three-index antisymmetry of the torsion field. In the latter, the bulk spacetime is assumed to have torsion, and the survival of parity violating terms in the four dimensional effective action is studied, using the compactification schemes proposed by Arkani-Hamed-Dimopoulos-Dvali and Randall-Sundrum. An interesting conclusion is that the torsion-axion duality arising in a stringy scenario via the second rank antisymmetric Kalb-Ramond field leads to conservation of parity in the gravity sector in any dimension. However, parity violating interactions do appear for spin-1/2 fermions in such theories, which can have crucial phenomenological implications.
© Springer-Verlag, 2004