On Generalized Gauge-Fixing in the Field-Antifield Formalism

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Authors	BATALIN Igor BERING LARSEN Klaus DAMGAARD Poul Henrik
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Nuclear Physics B
MU Faculty or unit	Faculty of Science
Citation
web	http://www.arxiv.org/abs/hep-th/0512131
Doi	https://doi.org/10.1016/j.nuclphysb.2006.01.030
Field	Theoretical physics
Keywords	BV Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Second-Class Constraints; Reducible Gauge Algebra; Gauge-Fixing;
Description	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.
Related projects:	Mathematical structures and their physical applications