Comments on noncommutative perturbative dynamics

By Mark Van Raamsdonk, N. Seiberg. 2000

174 citations recorded by the source corpus.

We analyze further the IR singularities that appear in noncommutative field theories on d. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the tree level exchanges of new light degrees of freedom, one coupling to each relevant operator. These exchanges are reminiscent of closed string exchanges in the double twist diagrams in open string theory. Some of these degrees of freedom are required to have propagators that are inverse linear or logarithmic. We suggest that these can be interpreted as free propagators in one or two extra dimensions respectively. We also calculate some of the IR singular terms appearing at two loops in noncommutative scalar field theories and find a complicated momentum dependence which is more difficult to interpret.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e81fa2778f7dd44fb538f903c343193fb8ed6ce0

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In Astronomy and Astrophysics

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3. A. Bergman
4. O. Ganor
5. Andrei Linde
6. John McGreevy
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In Nuclear and High Energy Physics

1. Michael R Douglas
2. J. Maldacena
3. L. Susskind
4. John McGreevy
5. Keshav Dasgupta
6. A. Bergman
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In Statistical and Nonlinear Physics

1. Michael R Douglas
2. A. Bergman
3. O. Ganor
4. N. Nekrasov
5. Keshav Dasgupta
6. John McGreevy
7. L. Susskind
8. N. Toumbas

Citations in the corpus

• Nonlocal field theories and their gravity duals (2001, background): “This can be seen by examining the expression of [8, 9] for the effective cutoff Λeff → 1 √ Λ−2 + (θp)2 .”
• Comments on perturbative dynamics of non-commutative Yang–Mills theory (2000, unknown): “ar X iv :h ep -t h/ 00 05 20”
• Invasion of the giant gravitons from Anti-de Sitter space (2000, background): “[10][ 11 ][12]. In this paper we will describe another example of IR/UV non-decoupling that occurs in AdS/CFT theories.”
• LSZ in LST (2004, unknown): “We also discuss the implications of our results for two dimensional string theories and for the (non-existence of a) Hagedorn phase transition in LSTs.”
• Noncommutative field theory (2001, methodology): “amani and Shenker, 2000; Andreev and Dorn, 2000a; Kiem and Lee, 2000; Bilal, Chu and Russo, 2000). Furthermore the effective field theory required to reproduce higher loop effects does not look natural (Raamsdonk and Seiberg, 2000). One can also argue that if this had worked in a more complicated situa”