Non-minimal BRST terms for Yang-Mills theory

Abstract

An extended BRST symmetry allows to obtain many non-minimal terms, which are very useful in the gauge-fixing procedure of the extended Hamiltonian. By structuring the generators on many levels, we construct the phase space for the implementation of a fourth-order symmetry. The corresponding extended Hamiltonian, containing all possible non-minimal terms, is presented for the case of Yang-Mills fields and the results obtained by this extension compared to those issued from standard BRST theory.