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