Quantum field theories with compact non-commutative extra dimensions

Journal Article (Journal Article)

We study field theories on spaces with additional compact noncommutative dimensions. As an example, we study φ3 on ℝ1,3xdouble-struck T signθ2 using perturbation theory. The infrared divergences in the non-compact theory give rise to unusual dynamics for the mode of φ 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.

Full Text

Duke Authors

Cited Authors

  • Gomis, J; Mehen, T; Wise, MB

Published Date

  • January 1, 2000

Published In

Volume / Issue

  • 4 / 8 PART B

Start / End Page

  • 1 - 15

International Standard Serial Number (ISSN)

  • 1029-8479

Digital Object Identifier (DOI)

  • 10.1088/1126-6708/2000/08/029

Citation Source

  • Scopus