Quantization of the Nonlinear Sigma Model Revisited

@article{Nguyen2014QuantizationOT,
  title={Quantization of the Nonlinear Sigma Model Revisited},
  author={Timothy Nguyen},
  journal={arXiv: Mathematical Physics},
  year={2014}
}
  • Timothy Nguyen
  • Published 19 August 2014
  • Mathematics
  • arXiv: Mathematical Physics
We revisit the subject of perturbatively quantizing the nonlinear sigma model in two dimensions from a rigorous, mathematical point of view. Our main contribution is to make precise the cohomological problem of eliminating potential anomalies that may arise when trying to preserve symmetries under quantization. The symmetries we consider are twofold: (i) diffeomorphism covariance for a general target manifold; (ii) a transitive group of isometries when the target manifold is a homogeneous space… 

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