Instanton Number of Noncommutative U(n) gauge theory

Details Instanton Number of Noncommutative U(n) gauge theory Instanton Number of Noncommutative U(n) gauge theory

2002-09-17

arxiv.org/abs/hep-th/0209139v3

JHEP 0304 (2003) 023

Physics

High Energy Physics

High Energy Physics - Theory

6 color figures, 27 pages, some comments and references are added,typos fixed

Scientific paper

10.1088/1126-6708/2003/04/023

We show that the integral of the first Pontrjagin class is given by an integer and it is identified with instanton number of the U(n) gauge theory on noncommutative ${\bf R^4}$. Here the dimension of the vector space $V$ that appear in the ADHM construction is called Instanton number. The calculation is done in operator formalism and the first Pontrjagin class is defined by converge series. The origin of the instanton number is investigated closely, too.

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