Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-19
Phys.Rev.D77:045029,2008
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 4 figures; references added
Scientific paper
10.1103/PhysRevD.77.045029
We extend and develop a method for perturbative calculations of anomalous dimensions and mixing matrices of leading twist conformal primary operators in conformal field theories. Such operators lie on the unitarity bound and hence are conserved (irreducible) in the free theory. The technique relies on the known pattern of breaking of the irreducibility conditions in the interacting theory. We relate the divergence of the conformal operators via the field equations to their descendants involving an extra field and accompanied by an extra power of the coupling constant. The ratio of the two-point functions of descendants and of their primaries determines the anomalous dimension, allowing us to gain an order of perturbation theory. We demonstrate the efficiency of the formalism on the lowest-order analysis of anomalous dimensions and mixing matrices which is required for two-loop calculations of the former. We compare these results to another method based on anomalous conformal Ward identities and constraints from the conformal algebra. It also permits to gain a perturbative order in computations of mixing matrices. We show the complete equivalence of both approaches.
Belitsky Andrei V.
Henn Johannes
Jarczak C.
Muller Daniel
Sokatchev Emery
No associations
LandOfFree
Anomalous dimensions of leading twist conformal operators 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 Anomalous dimensions of leading twist conformal operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous dimensions of leading twist conformal operators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-545319