2000/06/30 by Jaume Gomis, Thomas Mehen, Mark B. Wise · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/08/029
published as JHEP 0008 (2000) 029 · 15 pages, 4 Postscript figures, uses harvmac,references added, corrected typos in two equations, expanded discussion of gauge field zero mode dynamics
arxiv created 2000/08/01 · openalex publication_date 2000/08/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study field theories on spaces with additional compact noncommutative dimensions. As an example, we study ϕ3 on R1,3× T2θusing perturbation theory. The infrared divergences in the noncompact theory give rise to unusual dynamics for the mode of ϕwhich is constant along the torus. Correlation functions involving this mode vanish. Moreover, we show that the spectrum of Kaluza-Klein excitations can be very different from the analogous commuting theory. There is an additional contribution to the Kaluza-Klein mass formula that resembles the contribution of winding states in string theory. We also consider the effect of noncommutativity on the four dimensional Kaluza-Klein excitations of a six dimensional gauge field.