Reply to “Comment on ‘Topological invariants, instantons, and the chiral anomaly on spaces with torsion’ ”

@article{Chanda1997ReplyT,
  title={Reply to “Comment on ‘Topological invariants, instantons, and the chiral anomaly on spaces with torsion’ ”},
  author={Osvaldo Chand́ıa and Jorge Zanelli},
  journal={Physical Review D},
  year={1997},
  volume={63}
}
We respond to the comment by Kreimer et. al. about the torsional contribution to the chiral anomaly in curved spacetimes. We discuss their claims and refute its main conclusion. 

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References

SHOWING 1-10 OF 26 REFERENCES

On the chiral anomaly in non-Riemannian spacetimes

Thetranslation Chern-Simons type three-formcoframe∧torsion on a Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan fourform. Following Chandia and Zanelli, two spaces with

Massive torsion modes from Adler-Bell-Jackiw and scaling anomalies

Regularization of quantum field theories introduces a mass scale which breaks axial rotational and scaling invariances. We demonstrate from first principles that axial torsion and torsion trace modes

Selected topics in gauge theories

Developments in gauge field theory in the past fourteen years are discussed. The canonical description of electroweak and strong interactions is described including the role played by QCD and QFD.

Torsional topological invariants (and their relevance for real life)

The existence of topological invariants analogous to Chern/Pontryagin classes for a standard SO(D) or SU(N) connection, but constructed out of the torsion tensor, is discussed. These invariants

Class

  • Quantum Grav. 8, 1545
  • 1991

Phys

  • 23, 373
  • 1982

Class

  • Quantum Grav. 13, 2423
  • 1996

Prog

  • Theo. Phys. 74, 866
  • 1985

Phys

  • Lett. B 108, 308 (1982);Nucl. Phys. B 212, 237 (1983); Jour. Phys A 16, 3795
  • 1983

Dynamical theory of groups and fields