Discrete Mathematics & Theoretical Computer Science, Vol 1 (1997)

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DMTCS vol 1 no 1 (1997), pp. 115-127

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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