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

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

1999-10-18

arxiv.org/abs/hep-th/9910138v3

JHEP 0003 (2000) 016

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, harvmac; transformation of Wilson loop corrected, SW map at the 2nd order corrected

Scientific paper

10.1088/1126-6708/2000/03/016

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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