# Discrete Mathematics & Theoretical Computer Science

## Volume 1 n° 1 (1997), pp. 115-127

author: | H. Caprasse |
---|---|

title: | BRST Charge and Poisson Algebras |

keywords: | guage theory, BRST symmetry |

abstract: | An elementary introduction to the classical version of gauge theories is made. The shortcomings of the usual gauge fixing process are pointed out. They justify the need to replace it by a global symmetry: the BRST symmetry and its associated BRST charge. The main mathematical steps required to construct it are described. The algebra of constraints is, in general, a nonlinear Poisson algebra. In the nonlinear case the computation of the BRST charge by hand is hard. Itis explained how this computation can be made algorithmic. The main features of a recently created BRST computer algebra program are described. It can handle quadratic algebras very easily. Its capability to compute the BRST charge as a formal power series in the generic case of a cubic algebra is illustrated. |

reference: | H. Caprasse (1997),
BRST Charge and Poisson Algebras,
Discrete Mathematics and Theoretical Computer Science 1, pp. 115-127 |

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