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The dyon charge in noncommutative gauge theories

Fidel A. SchaposnikL. Cieri

subject

High Energy Physics - TheoryComputer Science::Machine LearningCiencias FísicasGeneral Physics and AstronomyFOS: Physical sciencesSpace (mathematics)Computer Science::Digital LibrariesStatistics::Machine Learningsymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheoryMathematics::Quantum AlgebraGauge theoryLimit (mathematics)Ciencias ExactasMathematical physicsPhysicsnoncommutative gauge theoryMathematics::Operator AlgebrasHigh Energy Physics::PhenomenologyFísicaCharge (physics)Noncommutative geometryDyonHigh Energy Physics - Theory (hep-th)Computer Science::Mathematical SoftwaresymbolsCP violationNoether's theorem

description

We present an explicit classical dyon solution for the noncommutative version of the Yang-Mills-Higgs model (in the Prasad-Sommerfield limit) with a tehta term. We show that the relation between classical electric and magnetic charges also holds in noncommutative space. Extending the Noether approach to the case of a noncommutative gauge theory, we analyze the effect of CP violation at the quantum level, induced both by the theta term and by noncommutativity and we prove that the Witten effect formula for the dyon charge remains the same as in ordinary space.

https://dx.doi.org/10.48550/arxiv.0706.0449