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Author Minwalla, Shiraz ♦ Raamsdonk, Mark Van
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Nonplanar Diagram ♦ Virtual Particle ♦ Open String Theory ♦ Perturbative Dynamic ♦ Channel Duality ♦ Noncommutative Field Theory ♦ Uv Ir ♦ Original Noncommutative Field Theory ♦ Low Momentum ♦ Double Twist Diagram ♦ Intriguing Mixing ♦ Ir Divergence ♦ Low Energy Effective Action ♦ Underlying Noncommutativity ♦ High Energy ♦ Noncommutative Perturbative Dynamic
Description We study the perturbative dynamics of noncommutative field theories on Rd, and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at low momentum. Consequently, the low energy effective action is singular at zero momentum even when the original noncommutative field theory is massive. Some of the nonplanar diagrams of these theories are divergent, but we interpret these divergences as IR divergences and deal with them accordingly. We explain how this UV/IR mixing arises from the underlying noncommutativity. This phenomenon is reminiscent of the channel duality of the double twist diagram in open string theory.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Institution hep-th/9912072; M. Van Raamsdonk and N. Seiberg, “Comments On Noncommutative Perturbative Dynamics,” JHEP 0003 (2000) 035, hep-th/0002186