Solving general gauge theories on inner product spaces
Abstract
By means of a generalized quartet mechanism we show in a model independent way that a BRST quantization on an inner product space leads to physical states of the form ph> = exp [ Q, ψ]ph> _{0} where Q is the nilpotent BRST operator, ψ a hermitian fermionic gaugefixing operator, and ph> _{o} BRST invariant states determined by a hermitian set of BRST doublets in involution. ph> _{0} does not belong to an inner product space although ph> does. Since the BRST quartets are split into two sets of hermitian BRST doublets there are two choices for ph> _{0} and the corresponding ψ. When applied to general, both irreducible and reducible, gauge theories of arbitrary rank within the BFV formulation we find that ph> _{0} are trivial BRST invariant states which only depend on the matter variables for one set of solutions, and for the other set ph> _{0} are solutions of a Dirac quantization. This generalizes previous Lie group solutions obtained by means of a bigrading.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00141E
 arXiv:
 arXiv:hepth/9501004
 Bibcode:
 1995NuPhB.442..669B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 25 pages,latexfile