9 research outputs found
Axial Anomaly in Noncommutative QED on R^4
The axial anomaly of the noncommutative U(1) gauge theory is calculated by a
number of methods and compared with the commutative one. It is found to be
given by the corresponding Chern class.Comment: LaTeX, axodraw.sty; v2: typos are fixed; v3: version to appear in
Int. J. Mod. Phys. A. (2001
Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
Anomalies arising from nonplanar triangle diagrams of noncommutative gauge
theory are studied. Local chiral gauge anomalies for both noncommutative U(1)
and U(N) gauge theories with adjoint matter fields are shown to vanish. For
noncommutative QED with fundamental matters, due to UV/IR mixing a finite
anomaly emerges from the nonplanar contributions. It involves a generalized
-product of gauge fields.Comment: 28 pages, Latex, axodraw.sty; v2: version to appear in Int. J. Mod.
Phys. A. (2001
Planar and Nonplanar Konishi Anomalies and Effective Superpotential for Noncommutative N=1 Supersymmetric U(1)
The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory
arising from planar and nonplanar diagrams are calculated. Whereas planar
Konishi anomaly is the expected \star-deformation of the commutative anomaly,
nonplanar anomaly reflects the important features of nonplanar diagrams of
noncommutative gauge theories, such as UV/IR mixing and the appearance of
nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies
to calculate the effective superpotential of the theory. In the limit of
vanishing |\Theta p|, with \Theta the noncommutativity parameter, the
noncommutative effective superpotential depends on a gauge invariant
superfield, which includes supersymmetric Wilson lines, and has nontrivial
dependence on the gauge field supermultiplet.Comment: LaTeX, 36 pages. Version 2: Typos Corrected. Version 3: Extensively
revised version, 42 pages, to be published in Int. J. Mod. Phys. A. (2005