On Generalized Gauge-Fixing in the Field-Antifield Formalism

Details On Generalized Gauge-Fixing in the Field-Antifield Formalism On Generalized Gauge-Fixing in the Field-Antifield Formalism

2005-12-12

arxiv.org/abs/hep-th/0512131v7

Nucl.Phys.B739:389-440,2006

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, LaTeX. v2: Minor changes + 1 more reference. v3,v4,v5: Corrected typos. v5: Version published in Nuclear Physics B.

Scientific paper

10.1016/j.nuclphysb.2006.01.030

We consider the problem of covariant gauge-fixing in the most general setting of the field-antifield formalism, where the action W and the gauge-fixing part X enter symmetrically and both satisfy the Quantum Master Equation. Analogous to the gauge-generating algebra of the action W, we analyze the possibility of having a reducible gauge-fixing algebra of X. We treat a reducible gauge-fixing algebra of the so-called first-stage in full detail and generalize to arbitrary stages. The associated "square root" measure contributions are worked out from first principles, with or without the presence of antisymplectic second-class constraints. Finally, we consider an W-X alternating multi-level generalization.

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