New symmetries in Slavnov extended gauge theories

01.03.2007 - 28.02.2008
Research funding project
It is well known that the perturbative realization of noncommutative gauge field theories are plagued by a new phenomenon referred to as UV/IR mixing. A. A. Slavnov has recently proposed an extension to such a model which might render them IR finite at higher loop order. In fact, this extension represents a topological term which, in certain gauges, introduces new symmetries to the model: In a recent peer reviewed publication [JHEP 0605:059, 2006], which was the result of an international cooperation with Prof. Franҫois Gieres of Université Claude Bernard (Lyon 1) and Prof. Olivier Piguet of Universidade Federal do Espírito Santo (UFES, Brazil), we have shown the appearance of a vector supersymmetry and an additional bosonic vectorial symmetry when using an axial gauge fixing. It is well known that symmetries, especially linear vector supersymmetries in topological field theories (à la Schwarz), lead to remarkable ultraviolet finiteness properties at the quantum level.

People

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Institute

Grant funds

  • Österr. Akademie der Wissenschaften (National) Austrian Academy of Sciences

Research focus

  • Beyond TUW-research focus: 100%

Keywords

GermanEnglish
Renormierung Renormalization Regularization
RegularisierungRenormalons
Nichtkommutative GeometrieNon-Commutative
BRST-SymmetrieBRST Symmetry
Topologische FeldtheorienTopological Field Theories

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