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Measure Theory in Noncommutative Spaces
Dixmier trace singular trace noncommutative integration
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2010/12/7
The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the f...
BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories
BFV-BRST analysis equivalence noncommutative ordinary gauge theories
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2010/11/2
Constrained hamiltonian structure of noncommutative gauge theory for the gauge group U(1) is discussed. Constraints are shown to be first class, although, they do not give an Abelian algebra in terms...