Odd Scalar Curvature in Anti-Poisson Geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F08%3A00025681" target="_blank" >RIV/00216224:14310/08:00025681 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Odd Scalar Curvature in Anti-Poisson Geometry
Original language description
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.
Czech name
Odd Scalar Curvature in Anti-Poisson Geometry
Czech description
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.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics Letters B
ISSN
0370-2693
e-ISSN
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Volume of the periodical
2008
Issue of the periodical within the volume
663
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
4
Pages from-to
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UT code for WoS article
000256744300024
EID of the result in the Scopus database
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