Algebraic Properties of BRST Coupled Doublets | Zendy

Andrea Quadri | Zendy

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Algebraic Properties of BRST Coupled Doublets

Author(s) -

Andrea Quadri

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/05/051

Subject(s) - cohomology , nilpotent , mathematics , brst quantization , algebraic number , differential operator , pure mathematics , operator (biology) , formal power series , de rham cohomology , algebra over a field , power series , mathematical analysis , equivariant cohomology , mathematical physics , gauge theory , biochemistry , chemistry , repressor , transcription factor , gene

We characterize the dependence on doublets of the cohomology of an arbitrarynilpotent differential s (including BRST differentials and classical linearizedSlavnov-Taylor (ST) operators) in terms of the cohomology of thedoublets-independent component of s. All cohomologies are computed in the spaceof local integrated formal power series. We drop the usual assumption that thecounting operator for the doublets commutes with s (decoupled doublets) anddiscuss the general case where the counting operator does not commute with s(coupled doublets). The results are purely algebraic and do not rely onpower-counting arguments.Comment: Some explanations enlarged, references adde

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