On Generalized Gauge-Fixing in the Field-Antifield Formalism
arXiv:hep-th/0512131 · doi:10.1016/j.nuclphysb.2006.01.030
Abstract
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.
49 pages, LaTeX. v2: Minor changes + 1 more reference. v3,v4,v5: Corrected typos. v5: Version published in Nuclear Physics B. v6,v7: Correction to the published version added next to the Acknowledgement
References in corpus (10)
- Geometry of Batalin-Vilkovisky quantization
- On possible generalizations of field--antifield formalism
- Triplectic Quantization: A Geometrically Covariant Description of the Sp(2)-symmetric Lagrangian Formalism
- On odd Laplace operators
- On the Geometry of the Batalin-Vilkovisky Formalism
- On the multilevel generalization of the field--antifield formalism
- On the Multilevel Field--Antifield Formalism with the Most General Lagrangian Hypergauges
- Second Class Constraints in a Higher-Order Lagrangian Formalism
- General Solution of Quantum Master Equation in Finite-Dimensional Case
- Antisymplectic Gauge Theories
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