2008
Odd Scalar Curvature in Anti-Poisson Geometry
BATALIN, Igor a Klaus BERING LARSENZákladní údaje
Originální název
Odd Scalar Curvature in Anti-Poisson Geometry
Název česky
Odd Scalar Curvature in Anti-Poisson Geometry
Autoři
BATALIN, Igor a Klaus BERING LARSEN
Vydání
Physics Letters B, Holland, Elsevier, 2008, 0370-2693
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
Impakt faktor
Impact factor: 4.034
Označené pro přenos do RIV
Ano
Kód RIV
RIV/00216224:14310/08:00025681
Organizační jednotka
Přírodovědecká fakulta
UT WoS
Klíčová slova anglicky
BV Field-Antifield Formalism; Odd Laplacian; Anti-Poisson Geometry;Semidensity; Connection; Odd Scalar Curvature.
Štítky
Příznaky
Mezinárodní význam, Recenzováno
Změněno: 17. 3. 2019 17:19, doc. Klaus Bering Larsen, Ph.D.
V originále
Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density \rho. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.
Česky
Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density \rho. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.
Návaznosti
| MSM0021622409, záměr |
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