| Affiliation: | (1) Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Wien, Austria;(2) Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstraße 22-26, 04103 Leipzig, Germany |
| Abstract: | We compute the one-loop  -functions describing the renormalisation of the coupling constant  and the frequency parameter  for the real four-dimensional duality-covariant non-commutative  -model, which is renormalisable to all orders. The contribution from the one-loop four-point function is reduced by the one-loop wavefunction renormalisation, but the  -function remains non-negative. Both  and  vanish at the one-loop level for the duality-invariant model characterised by  . Moreover,  also vanishes in the limit  , which defines the standard non-commutative  -quantum field theory. Thus, the limit  exists at least at the one-loop level.Received: 19 March 2004, Published online: 5 May 2004 |
