BATALIN, Igor, Klaus BERING LARSEN and Poul Henrik DAMGAARD. On Generalized Gauge-Fixing in the Field-Antifield Formalism. Nuclear Physics B. The Netherlands: Elsevier, 2006, vol. 2006, No 739, p. 389-440. ISSN 0550-3213. Available from: https://dx.doi.org/10.1016/j.nuclphysb.2006.01.030.
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Basic information
Original name On Generalized Gauge-Fixing in the Field-Antifield Formalism
Name in Czech O zobecneni volba kalibrace v anipolove formalismu
Authors BATALIN, Igor (643 Russian Federation), Klaus BERING LARSEN (208 Denmark, guarantor, belonging to the institution) and Poul Henrik DAMGAARD (208 Denmark).
Edition Nuclear Physics B, The Netherlands, Elsevier, 2006, 0550-3213.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10303 Particles and field physics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 5.199
RIV identification code RIV/00216224:14310/06:00016746
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.nuclphysb.2006.01.030
UT WoS 000236500300004
Keywords in English BV Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Second-Class Constraints; Reducible Gauge Algebra; Gauge-Fixing;
Tags Antisymplectic Geometry, BV Field-Antifield Formalism, Gauge-Fixing, Odd Laplacian, Reducible Gauge Algebra, Second-Class Constraints
Tags International impact, Reviewed
Changed by Changed by: doc. Klaus Bering Larsen, Ph.D., učo 203385. Changed: 17/3/2019 17:11.
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.
Abstract (in Czech)
Zabyvame se problemu volba kalibrace v nejobecnejsi formalismu pole-antipole, kde akce W a kalibracni cast X se sucastni symetricky a oba zplnuje kvantovy mistrovy rovnice. Taky resime moznost ze kalibracni algebra je reducibilni. Prvni faze je obecne reseno a vyslede je zobecnen do dalsi fazi. Asociovana prispevky z odmocniny miry jsou poctene z prvnich principu, s nebo bez pritomnosti antisymplekticke vazby druheho radu. Konecne se zabyvame W-X oscilujici mnoha urovni zobecneni.
Links
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
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