Calculation of BRS cohomology with spectral sequences

@article{Dixon1991CalculationOB,
  title={Calculation of BRS cohomology with spectral sequences},
  author={John A. Dixon},
  journal={Communications in Mathematical Physics},
  year={1991},
  volume={139},
  pages={495-526}
}
  • J. Dixon
  • Published 1 August 1991
  • Mathematics
  • Communications in Mathematical Physics
A method for finding the general form of the BRS cohomology spaceH for the various gauge and supersymmetry theories is presented. The method is adapted for use in the space of integrated local polynomials of the gauge fields and ghosts with arbitrary numbers of fields and dervivatives. The technique uses the Hodge decomposition in a Fock space with a Euclidean inner product, and combines this with spectral sequences to generate simple and soluble equations whose solutions span a simple spaceE… 
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