Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-21
JHEP 0008 (2000) 029
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 4 Postscript figures, uses harvmac,references added, corrected typos in two equations, expanded discussion of gauge
Scientific paper
10.1088/1126-6708/2000/08/029
We study field theories on spaces with additional compact noncommutative dimensions. As an example, we study \phi^3 on R^{1,3}\times T^{2}_\theta using perturbation theory. The infrared divergences in the noncompact theory give rise to unusual dynamics for the mode of \phi which 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.
Gomis Jaume
Mehen Thomas
Wise Mark B.
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