One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach

Details One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach

2001-12-19

arxiv.org/abs/hep-th/0112176v2

Nucl.Phys. B630 (2002) 55-86

Physics

High Energy Physics

High Energy Physics - Theory

1+35 pages, Latex, address info added

Scientific paper

10.1016/S0550-3213(02)00182-7

We develop a method to compute the one-loop effective action of noncommutative U(1) gauge theory based on the bosonic worldline formalism, and derive compact expressions for N-point 1PI amplitudes. The method, resembling perturbative string computations, shows that open Wilson lines emerge as a gauge invariant completion of certain terms in the effective action. The terms involving open Wilson lines are of the form reminiscent of closed string exchanges between the states living on the two boundaries of a cylinder. They are also consistent with recent matrix theory analysis and the results from noncommutative scalar field theories with cubic interactions.

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