On Generalized Gauge-Fixing in the Field-Antifield Formalism

J 2006

On Generalized Gauge-Fixing in the Field-Antifield Formalism

BATALIN, Igor; Klaus BERING LARSEN a Poul Henrik DAMGAARD

Základní údaje

Originální název

On Generalized Gauge-Fixing in the Field-Antifield Formalism

Název česky

O zobecneni volba kalibrace v anipolove formalismu

Autoři

BATALIN, Igor; Klaus BERING LARSEN a Poul Henrik DAMGAARD

Vydání

Nuclear Physics B, The Netherlands, Elsevier, 2006, 0550-3213

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10303 Particles and field physics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 5.199

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/06:00016746

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.1016/j.nuclphysb.2006.01.030

UT WoS

000236500300004

Klíčová slova anglicky

BV Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Second-Class Constraints; Reducible Gauge Algebra; Gauge-Fixing;

Štítky

Antisymplectic Geometry, BV Field-Antifield Formalism, Gauge-Fixing, Odd Laplacian, Reducible Gauge Algebra, Second-Class Constraints

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 17. 3. 2019 17:11, doc. Klaus Bering Larsen, Ph.D.

Anotace

ORIG CZ

V originále

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.

Česky

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.

Návaznosti

MSM0021622409, záměr

Název: Matematické struktury a jejich fyzikální aplikace

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Matematické struktury a jejich fyzikální aplikace

Citovat

BATALIN, Igor; Klaus BERING LARSEN a Poul Henrik DAMGAARD. On Generalized Gauge-Fixing in the Field-Antifield Formalism. Nuclear Physics B. The Netherlands: Elsevier, 2006, roč. 2006, č. 739, s. 389-440. ISSN 0550-3213. Dostupné z: https://doi.org/10.1016/j.nuclphysb.2006.01.030.

@article{633668,
   author = {Batalin, Igor and Bering Larsen, Klaus and Damgaard, Poul Henrik},
   article_location = {The Netherlands},
   article_number = {739},
   doi = {https://doi.org/10.1016/j.nuclphysb.2006.01.030},
   keywords = {BV Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Second-Class Constraints; Reducible Gauge Algebra; Gauge-Fixing;},
   language = {eng},
   issn = {0550-3213},
   journal = {Nuclear Physics B},
   title = {On Generalized Gauge-Fixing in the Field-Antifield Formalism},
   url = {http://www.arxiv.org/abs/hep-th/0512131},
   volume = {2006},
   year = {2006}
}

TY  - JOUR
ID  - 633668
AU  - Batalin, Igor - Bering Larsen, Klaus - Damgaard, Poul Henrik
PY  - 2006
TI  - On Generalized Gauge-Fixing in the Field-Antifield Formalism
JF  - Nuclear Physics B
VL  - 2006
IS  - 739
SP  - 389-440
EP  - 389-440
PB  - Elsevier
SN  - 05503213
KW  - BV Field-Antifield Formalism
KW  - Odd Laplacian
KW  - Antisymplectic Geometry
KW  - Second-Class Constraints
KW  - Reducible Gauge Algebra
KW  - Gauge-Fixing;
UR  - http://www.arxiv.org/abs/hep-th/0512131
N2  - 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.
ER  -

BATALIN, Igor; Klaus BERING LARSEN a Poul Henrik DAMGAARD. On Generalized Gauge-Fixing in the Field-Antifield Formalism. \textit{Nuclear Physics B}. The Netherlands: Elsevier, 2006, roč.~2006, č.~739, s.~389-440. ISSN~0550-3213. Dostupné z: https://doi.org/10.1016/j.nuclphysb.2006.01.030.

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