The method of covariant symbols in curved space-time

@article{Salcedo2006TheMO,
  title={The method of covariant symbols in curved space-time},
  author={L. L. Salcedo},
  journal={The European Physical Journal C},
  year={2006},
  volume={49},
  pages={831-850}
}
  • L. L. Salcedo
  • Published 8 June 2006
  • Mathematics
  • The European Physical Journal C
Diagonal matrix elements of pseudodifferential operators are needed in order to compute effective Lagrangians and currents. For this purpose the method of symbols is often used, which however lacks manifest covariance. In this work the method of covariant symbols, introduced by Pletnev and Banin, is extended to curved space-time with arbitrary gauge and coordinate connections. For the Riemannian connection we compute the covariant symbols corresponding to external fields, the covariant… 
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