6533b7d2fe1ef96bd125f482
RESEARCH PRODUCT
Perturbative BF-Yang–Mills theory on noncommutative
H. B. Benaoumsubject
PhysicsNuclear and High Energy PhysicsYang–Mills existence and mass gapYang–Mills theoryNoncommutative geometryBRST quantizationRenormalizationHigh Energy Physics::Theorysymbols.namesakeFormalism (philosophy of mathematics)Mathematics::Quantum AlgebrasymbolsFeynman diagramCommutative propertyMathematical physicsdescription
A U(1) BF-Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is presented and in this formulation the U(1) Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one-loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommutative ${\mathbb{R}}^4$ is asymptotically free and its UV-behaviour in the computation of the $\beta$-function is like the usual SU(N) commutative BFYM and Yang Mills theories.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-10-01 | Nuclear Physics B |