On Generalized Gauge-Fixing in the Field-Antifield Formalism
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Nuclear Physics B |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.arxiv.org/abs/hep-th/0512131 |
| Doi | http://dx.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. |
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