Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-20
Nucl.Phys. B684 (2004) 3-74
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 71 pages, no figures
Scientific paper
10.1016/j.nuclphysb.2004.02.014
Instanton contributions to the anomalous dimensions of gauge-invariant composite operators in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in the one-instanton sector. Independent sets of scalar operators of bare dimension 2, 3, 4 and 5 are constructed in all the allowed representations of the SU(4) R-symmetry group and their two-point functions are computed in the semiclassical approximation. Analysing the moduli space integrals the sectors in which the scaling dimensions receive non-perturbative contributions are identified. The requirement that the integrations over the fermionic collective coordinates which arise in the instanton background are saturated leads to non-renormalisation properties for a large class of operators. Instanton-induced corrections to the scaling dimensions are found only for dimension 4 SU(4) singlets and for dimension 5 operators in the representation [0,1,0] of SU(4). In many cases the non-renormalisation results are argued to be specific to operators of small dimension, but for some special sectors it is shown that they are valid for arbitrary dimension. Comments are also made on the implications of the results on the form of the instanton contributions to the dilation operator of the theory and on the possibility of realising its action on the instanton moduli space.
No associations
LandOfFree
On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-421173