https://doi.org/10.1140/epjc/s2004-01853-x
theoretical physics
The 
-function in duality-covariant non-commutative 
-theory
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
* e-mail: harald.grosse@univie.ac.at
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.
© Springer-Verlag, 2004
