Shin-Ichiro Kuroki

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We show that it is possible to construct invariant field theory under the translation of noncommutative parameter θμν . This is achieved by noncommutative cohomological field theory. As an example, noncommutative cohomological scalar field theory is constructed, and its partition function is calculated. The partition function is the Euler number of(More)
In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define “Instanton number” by the size of Bα in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of Pontrjagin(More)
In noncommutative spaces it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define “Instanton number” by the size of Bα in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of Pontrjagin(More)
We derive an effective Lagrangian for meson fields. This is done in the light-cone gauge for two-dimensional large-Nc QCD by using the bilocal auxiliary field method. The auxiliary fields are bilocal on light-cone space and their Fourier transformation determines the parton momentum distribution. As the first test of our method, the ’t Hooft equation is(More)
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