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arXiv · hep-th/9910138

A Path Integral Representation of the Map between Commutative and Noncommutative Gauge Fields

Kazumi Okuyama
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Abstract

The world-volume theory on a D-brane in a constant B-field background can be described by either commutative or noncommutative Yang-Mills theories. These two descriptions correspond to two different gauge fixing of the diffeomorphism on the brane. Comparing the boundary states in the two gauges, we derive a map between commutative and noncommutative gauge fields in a path integral form, when the gauge group is U(1).

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Kazumi Okuyama. 2000-08-28. A Path Integral Representation of the Map between Commutative and Noncommutative Gauge Fields. https://doi.org/10.1088/1126-6708%2F2000%2F03%2F016

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