Skip to Main content Skip to Navigation
Journal articles

BRST Charge and Poisson Algebras

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [6 references]  Display  Hide  Download
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Wednesday, March 5, 2014 - 9:31:45 AM
Last modification on : Friday, April 6, 2018 - 10:10:02 PM
Long-term archiving on: : Thursday, June 5, 2014 - 10:52:56 AM


Files produced by the author(s)




H. Caprasse. BRST Charge and Poisson Algebras. Discrete Mathematics and Theoretical Computer Science, DMTCS, 1997, Vol. 1, pp.115-127. ⟨10.46298/dmtcs.241⟩. ⟨hal-00955694⟩



Record views


Files downloads