Observables of Non-Commutative Gauge Theories
By D. Gross, Akikazu Hashimoto, N. Itzhaki. 2000
188 citations recorded by the source corpus.
We construct gauge invariant operators in non-commutative gauge theories which in the IR reduce to the usual operators of ordinary field theories (e.g. F^2). We show that in the deep UV the two-point functions of these operators admit a universal exponential behavior which fits neatly with the dual supergravity results. We also consider the ratio between n-point functions and two-point functions to find exponential suppression in the UV which we compare to the high energy fixed angle scattering of string theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b13c4d70fa2eab2db54a4736c58527b85738914b
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In Astronomy and Astrophysics
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Citations in the corpus
- Observables in effective gravity (2005, background): “Note that our expressions for diffeomorphism-invariant and relational observables bear some formal similarity to observables constructed in non-commutative theories [71] and in open string field theory [72].”
- Nonlocal field theories and their gravity duals (2001, methodology): “See also [54] for a related discussion.”
- Solitons in noncommutative gauge theory (2000, background): “(2.2) The spatial coordinates can then be thought of as operators in the space of Fock states: H = {|0〉, |1〉, . . . |n〉, . . .} , (2.3) where c|0〉 = 0, |n〉 = c †n √ n!”
- ∗-Trek II: ∗n operations, open Wilson lines and the Seiberg–Witten map (2000, background): “3.1 Gauge Invariant Completion of the One-loop F̂ 4 Terms 9 3.2 Closed String Couplings to the Noncommutative Yang-Mills Modes 11”