Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-14
Phys.Rev. D65 (2002) 026002
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Latex, 1 .eps figure, v2. typos corrected, v3. combinatorics corrected
Scientific paper
10.1103/PhysRevD.65.026002
Open Wilson line operators and generalized star product have been studied extensively in noncommutative gauge theories. We show that they also show up in noncommutative scalar field theories as universal structures. We first point out that dipole picture of noncommutative geometry provides an intuitive argument for robustness of the open Wilson lines and generalized star products therein. We calculate one-loop effective action of noncommutative scalar field theory with cubic self-interaction and show explicitly that the generalized star products arise in the nonplanar part. It is shown that, at low-energy, large noncommutativity limit, the nonplanar part is expressible solely in terms of the {\sl scalar} open Wilson line operator and descendants.
Kiem Youngjai
Rey Soo-Jong
Sato Haru-Tada
Yee Jung-Tay
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